Study sets matching "geometry theorems chapter 7 gifted"

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Study sets matching "geometry theorems chapter 7 gifted"

13 terms
Geometry Chapter 7 Theorems
Theorem 7.1 Perimeters of Similar Poly…
Postulate 7.1 Angle-Angle (AA) Similar…
Theorem 7.2 Side-Side-Side (SSS) Simil…
Theorem 7.3 Side-Angle-Side (SAS) Simi…
If two polygons are similar, then their perimeters are propor…
If two angles of one triangle are congruent to two angles of…
IF the corresponding side lengths of two triangles are propor…
If the lengths of two sides of one triangle are proportional…
Theorem 7.1 Perimeters of Similar Poly…
If two polygons are similar, then their perimeters are propor…
Postulate 7.1 Angle-Angle (AA) Similar…
If two angles of one triangle are congruent to two angles of…
7 terms
Geometry Chapter 7 Theorems
Triangle proportionality theorem
Corollary
Angle bisector theorem
A Property of proportions
If a line is parallel to one side of a triangle and intersect…
If 3 or more parallel lines intersect 2 transversals, then th…
An angle bisector in a triangle separates the opposite side i…
If a/b=c/d then, ... ad=bc... a/c=b/d... b/a=d/c... a+b/b=c+d/d
Triangle proportionality theorem
If a line is parallel to one side of a triangle and intersect…
Corollary
If 3 or more parallel lines intersect 2 transversals, then th…
5 terms
Geometry Chapter 7 Theorems
Triangle Proportionality Theorem
Converse of the Triangle Proportionali…
Two-Transversal Proportionality Coroll…
Triangle Angle Bisector Theorem
If a line parallel to a side of the triangle intersects the o…
If a line divides two sides of a triangle proportionally, the…
If three or more parallel lines intersect two transversals, t…
An angle bisector of a triangle divides the opposite sides in…
Triangle Proportionality Theorem
If a line parallel to a side of the triangle intersects the o…
Converse of the Triangle Proportionali…
If a line divides two sides of a triangle proportionally, the…
9 terms
Chapter 7 Geometry Theorems
AA~
SSS~
SAS~
Theorem 7-3
If two angles of one triangle are congruent to two angles of…
If the corresponding sides of two triangles are proportional,…
If an angle of one triangle is congruent to an angle of a sec…
The altitude to the hypotenuse of a right triangle divides th…
AA~
If two angles of one triangle are congruent to two angles of…
SSS~
If the corresponding sides of two triangles are proportional,…
13 terms
Geometry Chapter 7 Theorems
Theorem 7.1 Perimeters of Similar Poly…
Postulate 7.1 Angle-Angle (AA) Similar…
Theorem 7.2 Side-Side-Side (SSS) Simil…
Theorem 7.3 Side-Angle-Side (SAS) Simi…
If two polygons are similar, then their perimeters are propor…
If two angles of one triangle are congruent to two angles of…
IF the corresponding side lengths of two triangles are propor…
If the lengths of two sides of one triangle are proportional…
Theorem 7.1 Perimeters of Similar Poly…
If two polygons are similar, then their perimeters are propor…
Postulate 7.1 Angle-Angle (AA) Similar…
If two angles of one triangle are congruent to two angles of…
16 terms
Geometry chapter 7 theorems.
Diags rhombus perpendicular thm
Diags rhombus bisect opp angles thm.
Diags rectangle congruency thm.
What does a parallelogram have? Or con…
A parallelogram is a rhombus if and only if(iff)diagonals per…
A parallelogram is a rhombus iff each diagonal bisects a pair…
A parallelogram is a rectangle iff diagonals congruent.
Picas, post, poat, pidb, opp parallel.
Diags rhombus perpendicular thm
A parallelogram is a rhombus if and only if(iff)diagonals per…
Diags rhombus bisect opp angles thm.
A parallelogram is a rhombus iff each diagonal bisects a pair…
TPS Geometry Chapter 7 Theorems
SSS Congruence Theorem
SAS Congruence Theorem
ASA Congruence Theorem
AAS Congruence Theorem
If, in two triangles, three sides of one are congruent to thr…
If, in two triangles, two sides and the included angle of one…
If, in two triangles, two angles and the included side of one…
If, in two triangles, two angles and a nonincluded side of on…
SSS Congruence Theorem
If, in two triangles, three sides of one are congruent to thr…
SAS Congruence Theorem
If, in two triangles, two sides and the included angle of one…
5 terms
Geometry Chapter 7 Theorems
SAS Similarity Theorem
SSS Similarity Theorem
Triangle Proportionality Theorem
Corollary
if an angle of one triangle is congruent to an angle of anoth…
if the sides of two triangles are in proportion, then the tri…
if a line parallel to one side of a triangle intersects the o…
if three parallel lines intersect two transversals, then they…
SAS Similarity Theorem
if an angle of one triangle is congruent to an angle of anoth…
SSS Similarity Theorem
if the sides of two triangles are in proportion, then the tri…
13 terms
Geometry Chapter 7 Theorems
Theorem 7.1 Perimeters of Similar Poly…
Postulate 7.1 Angle-Angle (AA) Similar…
Theorem 7.2 Side-Side-Side (SSS) Simil…
Theorem 7.3 Side-Angle-Side (SAS) Simi…
If two polygons are similar, then their perimeters are propor…
If two angles of one triangle are congruent to two angles of…
IF the corresponding side lengths of two triangles are propor…
If the lengths of two sides of one triangle are proportional…
Theorem 7.1 Perimeters of Similar Poly…
If two polygons are similar, then their perimeters are propor…
Postulate 7.1 Angle-Angle (AA) Similar…
If two angles of one triangle are congruent to two angles of…
Geometry Theorems Chapter 7
Theorem 7.1
Theorem 7.2
Theorem 7.3
Theorem 7.4
If the altitude is drawn from the vertex of the right angle o…
The measure of the altitude drawn from the vertex of the righ…
If the altitude is drawn from the vertex of the right angle o…
Pythagorean Theorem - In a right triangle, the sum of the squ…
Theorem 7.1
If the altitude is drawn from the vertex of the right angle o…
Theorem 7.2
The measure of the altitude drawn from the vertex of the righ…
Geometry Chapter 7 Theorems
7.1 Polygon Interior Angles Theorem
Corollary 7.1 Corollary to the Polygon…
7.2 Polygon Exterior Angles Theorem
7.3 Parallelogram Opposite Sides Theorem
The sum of the measures of the interior angles of a convex n-…
The sum of the measures of the interior angles of a quadrilat…
The sum of the measures of the exterior angles of a convex po…
If a quadrilateral is a parallelogram, then its opposite side…
7.1 Polygon Interior Angles Theorem
The sum of the measures of the interior angles of a convex n-…
Corollary 7.1 Corollary to the Polygon…
The sum of the measures of the interior angles of a quadrilat…
6 terms
Geometry theorems chapter 7
Pythagorean theorem
Side splitter theorem
Triangle angle bisector theorem
Corollary to side splitter theorem
The square of the length of a hypotenuse of a right triangle…
If a line is drawn parallel to one side if a triangle, then i…
If a ray bisects an angle of a triangle, then it divides the…
If three parallel lines intersect two transversals, the paral…
Pythagorean theorem
The square of the length of a hypotenuse of a right triangle…
Side splitter theorem
If a line is drawn parallel to one side if a triangle, then i…
13 terms
Geometry Chapter 7 Theorems
Theorem 7.1 Perimeters of Similar Poly…
Postulate 7.1 Angle-Angle (AA) Similar…
Theorem 7.2 Side-Side-Side (SSS) Simil…
Theorem 7.3 Side-Angle-Side (SAS) Simi…
If two polygons are similar, then their perimeters are propor…
If two angles of one triangle are congruent to two angles of…
IF the corresponding side lengths of two triangles are propor…
If the lengths of two sides of one triangle are proportional…
Theorem 7.1 Perimeters of Similar Poly…
If two polygons are similar, then their perimeters are propor…
Postulate 7.1 Angle-Angle (AA) Similar…
If two angles of one triangle are congruent to two angles of…
Geometry Chapter 7 Theorems
Theorem 7.1 Perimeters of Similar Poly…
Postulate 7.1 Angle-Angle (AA) Similar…
Theorem 7.2 Side-Side-Side (SSS) Simil…
Theorem 7.3 Side-Angle-Side (SAS) Simi…
If two polygons are similar, then their perimeters are propor…
If two angles of one triangle are congruent to two angles of…
IF the corresponding side lengths of two triangles are propor…
If the lengths of two sides of one triangle are proportional…
Theorem 7.1 Perimeters of Similar Poly…
If two polygons are similar, then their perimeters are propor…
Postulate 7.1 Angle-Angle (AA) Similar…
If two angles of one triangle are congruent to two angles of…
37 terms
Chapter 7 Geometry Theorems
diagonal definition
equilateral polygon definition
equiangular polygon definition
regular polygon definition
a segment that joins 2 nonconsecutive vertices
all sides are congruent
all interior angles are congruent
equilateral and equiangular; must be convex
diagonal definition
a segment that joins 2 nonconsecutive vertices
equilateral polygon definition
all sides are congruent
Geometry Chapter 7 Theorems
If two angles of one triangle are cong…
If an angle of one triangle is congrue…
If the sides of two triangles are in p…
If a line parallel to one side of a tr…
Then the triangles are similar.
Then the triangles are similar.
Then the triangles are similar.
Then it divides those sides proportionally.
If two angles of one triangle are cong…
Then the triangles are similar.
If an angle of one triangle is congrue…
Then the triangles are similar.
6 terms
Geometry Chapter 7 Theorems
Equality of cross products
Definition of similar polygons
AA Similarity
SSS SImilarity
For any numbers a and c and any nonzero numbers b and d, a/b=…
2 polygons are similar iff their corresponding angles are con…
If 2 angles of 1 triangle are congruent to 2 angles of anothe…
If the measures of the corresponding sides of 2 triangles are…
Equality of cross products
For any numbers a and c and any nonzero numbers b and d, a/b=…
Definition of similar polygons
2 polygons are similar iff their corresponding angles are con…
11 terms
Geometry Chapter 7 Theorems
if, in two triangles, three sides of o…
if, in two triangles, two sides and th…
if, in two triangles, two angles and t…
if, in two triangles, two angles and t…
SSS Congruence Theorem
SAS Congruence Theorem
ASA Congruence Theorem
AAS Congruence Theorem
if, in two triangles, three sides of o…
SSS Congruence Theorem
if, in two triangles, two sides and th…
SAS Congruence Theorem
Geometry Theorems - Chapter 7
7.1 - Pythagorean Theorem
7.2 - Converse of the Pythagorean Theo…
7.3
7.4
In a right triangle, the square of the length of the hypotenu…
if the square of the longest side of a triangle is equal to t…
c2<a2+b2 means acute (same as 7.2, but with this equation
c2>a2+b2 then obtuse
7.1 - Pythagorean Theorem
In a right triangle, the square of the length of the hypotenu…
7.2 - Converse of the Pythagorean Theo…
if the square of the longest side of a triangle is equal to t…
Geometry Chapter 7 Theorems
Angle-Angle Similarity Theorem/AA∼ Post.
Side-Side-Side Similarity Theorem/ SSS…
Side-Angle-Side Similarity Theorem/ SA…
Triangle Proportionality Theorem/ ∆Pro…
If two angles of one triangle are similar to two angles of an…
If three sides of one triangle are proportional to three corr…
If two sides of one triangle are proportional to two sides of…
If a line parallel to a side of a triangle intersects the oth…
Angle-Angle Similarity Theorem/AA∼ Post.
If two angles of one triangle are similar to two angles of an…
Side-Side-Side Similarity Theorem/ SSS…
If three sides of one triangle are proportional to three corr…
7 terms
Geometry theorems chapter 7
Triangle sum theorem
Exterior angle theorem
Midline theorem
No choice theorem
If a polygon is a triangle, then the sum of the measures of t…
The measure of an exterior angle of a triangle equals the sum…
If a segment is a midline: (1) then it is parallel to the thi…
If two angles of one triangle are congruent to two angles of…
Triangle sum theorem
If a polygon is a triangle, then the sum of the measures of t…
Exterior angle theorem
The measure of an exterior angle of a triangle equals the sum…
13 terms
Geometry Chapter 7 Theorems
Theorem 7.1 Perimeters of Similar Poly…
Postulate 7.1 Angle-Angle (AA) Similar…
Theorem 7.2 Side-Side-Side (SSS) Simil…
Theorem 7.3 Side-Angle-Side (SAS) Simi…
If two polygons are similar, then their perimeters are propor…
If two angles of one triangle are congruent to two angles of…
IF the corresponding side lengths of two triangles are propor…
If the lengths of two sides of one triangle are proportional…
Theorem 7.1 Perimeters of Similar Poly…
If two polygons are similar, then their perimeters are propor…
Postulate 7.1 Angle-Angle (AA) Similar…
If two angles of one triangle are congruent to two angles of…
23 terms
Chapter 7 Advanced Geometry Theorems
Polygon Interior Angles Theorem
Corollary to the Polygon Interior Angl…
Polygon Exterior Angles Theorem
Parallelogram Opposite Sides Theorem
The sum of the measures of the interior angles of a convex n-…
The sum of the measures of the interior angles of a quadrilat…
The sum of the measures of the exterior angles of a convex po…
If a quadrilateral is a parallelogram, then its opposite side…
Polygon Interior Angles Theorem
The sum of the measures of the interior angles of a convex n-…
Corollary to the Polygon Interior Angl…
The sum of the measures of the interior angles of a quadrilat…
13 terms
Chapter 7 Geometry Vocabulary and Theorems
Ratio
Proportion
Similar
Similarity Ratio
Comparison of two qualities
Statement stating two ratios equal
Two figures having the same shape but not same size. Correspo…
Ratio of lengths of corresponding sides
Ratio
Comparison of two qualities
Proportion
Statement stating two ratios equal
Geometry Chapter 7 Vocabulary and Theorems
Pythagorean Theorem (Theorem 7.1)
Pythagorean Triple
Converse of the Pythagorean Theorem (T…
Theorem 7.3
In a right triangle, the square of the length of the hypotenu…
a set of three positive integers (a, b, and c) that satisfies…
If the square of the length of the longest side of a triangle…
If the square of the length of the longest side is less than…
Pythagorean Theorem (Theorem 7.1)
In a right triangle, the square of the length of the hypotenu…
Pythagorean Triple
a set of three positive integers (a, b, and c) that satisfies…
20 terms
Geometry chapter 7 vocabulary and theorems
Pythagorean triple
Trigonometric ratio
Tangent
Sine
set of three integers a, b, c which form the sides of a right…
relate the sides of a right triangle to its angles. Specifica…
a straight line or plane that touches a curve or curved surfa…
the trigonometric function that is equal to the ratio of the…
Pythagorean triple
set of three integers a, b, c which form the sides of a right…
Trigonometric ratio
relate the sides of a right triangle to its angles. Specifica…
Geometry Chapter 7-Theorems & Postulates
AA~
SAS~
SSS~
Theorem 7.3
if two angles of one triangle are congruent to two angles of…
if an angle of one triangle is congruent to an angle of anoth…
if all of the corresponding sides of two triangles are propor…
the altitude to the hypotenuse of a right triangle divides th…
AA~
if two angles of one triangle are congruent to two angles of…
SAS~
if an angle of one triangle is congruent to an angle of anoth…
12 terms
SAT Geometry Chapter 7 Theorems
Cross Products Property
Key Concept: Properties of Proportions
Similar Polygons
Angle-Angle Similarity (AA~) Postulate
• In a proportion, the product of the extremes equals the pro…
• a/b=c/d is equivalent to b/a=d/c. ... • a/b=c/d is equivalent…
• Two polygons are similar polygons if: ... • Corresponding angl…
• If two angles of one triangle are congruent to two angles o…
Cross Products Property
• In a proportion, the product of the extremes equals the pro…
Key Concept: Properties of Proportions
• a/b=c/d is equivalent to b/a=d/c. ... • a/b=c/d is equivalent…
11 terms
Geometry Chapter 7 Vocab + Theorems
Properties of Proportions:
Similar polygons
Angle-Angle similarity (AA~) Theorem
Side-Angle-Side Similarity (SAS~) Theo…
a/b =c/d is equivalent to b/a=d/c, ... a/c=b/d, and ... a+b/b = c+d/d
polygons in which corresponding angles are congruent and the…
If two angles of one triangle are congruent to two angles of…
If an angle of one triangle is congruent to an angle of a sec…
Properties of Proportions:
a/b =c/d is equivalent to b/a=d/c, ... a/c=b/d, and ... a+b/b = c+d/d
Similar polygons
polygons in which corresponding angles are congruent and the…
11 terms
geometry chapter 7 definitions/theorems
pythagorean theorem (formula)
pythagorean theorem definition
converse of pythagorean theorem
acute triangle theorem
a^2+b^2=c^2
in a right triangle, the square of the length of the hypotenu…
if the square of the length of the hypotenuse is equal to the…
if the square ofmthe length of the longest sideof a triangle…
pythagorean theorem (formula)
a^2+b^2=c^2
pythagorean theorem definition
in a right triangle, the square of the length of the hypotenu…
Chapter 7 Vocab Theorems Geometry
AA ~
SSS~
SAS~
Triangle Proportionality Thm
Postulate: If 2 angles of a triangle are congruent to 2 angle…
Theorem: If the 3 sides of 1 triangle are proportional to the…
Theorem: If 2 sides of 1 triangle are proportional to 2 sides…
If a line parallel to a side of a triangle intersects the oth…
AA ~
Postulate: If 2 angles of a triangle are congruent to 2 angle…
SSS~
Theorem: If the 3 sides of 1 triangle are proportional to the…
14 terms
Jacobs Geometry Chapter 7 Theorems
Theorem 24
Theorem 25
Theorem 26
Theorem 27
The sum of the angles of a quadrilateral is 360 degrees
The opposite sides and angles of a parallelogram are equal
The diagonals of a parallelogram bisect each other
A quadrilateral is a parallelogram if its opposite sides are…
Theorem 24
The sum of the angles of a quadrilateral is 360 degrees
Theorem 25
The opposite sides and angles of a parallelogram are equal
Geometry Chapter 7 Theorems/Postulates
Properties of proportions
AA Similarity Postulate
SAS Similarity Theorem
SSS Similarity Theorem
1. a/b = c/d is equivalent to: ad = bc, a/c = b/d, b/a = d/c,…
If two angles of one triangle are congruent to two angles of…
If an angle of one triangle is congruent to an angle of anoth…
If the sides of two triangles are in proportion then the tria…
Properties of proportions
1. a/b = c/d is equivalent to: ad = bc, a/c = b/d, b/a = d/c,…
AA Similarity Postulate
If two angles of one triangle are congruent to two angles of…
19 terms
Geometry Chapter 7 Theorems and Postulates
Postulate 7-1:Angle-Angle Similarity P…
Theorem 7-2:Side-Angle-Side Similarity…
Theorem 7-3: Side-Side-Side Similarity…
Theorem 7-3
if two angles of one triangle are congruent to two angles of…
if an angle of one triangle is congruent to an angle of a sec…
if the corresponding sides of two triangles are proportional,…
the altitude to the hypotenuse of a right triangle divides th…
Postulate 7-1:Angle-Angle Similarity P…
if two angles of one triangle are congruent to two angles of…
Theorem 7-2:Side-Angle-Side Similarity…
if an angle of one triangle is congruent to an angle of a sec…
13 terms
Geometry Chapter 7 Postulate + Theorems
AA Similarity Postulate
SAS Similarity Theorem
SSS Similarity Theorem
Theorem 7-3 (Sorry no name for it)
If two angles of one triangle are congruent to two angles of…
If an angle of one triangle is congruent to an angle of a sec…
If the corresponding sides of two triangles are proportional,…
The altitude to the hypotenuse of a RIGHT triangle divides th…
AA Similarity Postulate
If two angles of one triangle are congruent to two angles of…
SAS Similarity Theorem
If an angle of one triangle is congruent to an angle of a sec…
15 terms
Geometry Chapter 7 Vocabulary and Theorems
pythagorean theorem
converse of the pythagorean theorem
theorem 7.3
theorem 7.4
in a right triangle, the square of the length of the hypotenu…
if the square of the length of the longest side of a triangle…
if the square of the length of the longest side of a triangle…
if the square of the length of the longest side of a triangle…
pythagorean theorem
in a right triangle, the square of the length of the hypotenu…
converse of the pythagorean theorem
if the square of the length of the longest side of a triangle…
9 terms
geometry - chapter 7 postulates and theorems
** cross-product property of proportio…
* reciprocal property of proportions *
* other properties of proportions *
** postulate 15 : AA similarity postul…
a/b = c/d is equivalent to ad = bc ... ( product of extremes =…
if a/b = c/d , then b/a = d/c ... ( a/b and b/a are reciprocals )
if a/b = c/d then :... a.) a/c = b/d ... b.) a+b/b = c+d/d... if a/…
if 2 angles of 1 triangle are congruent to 2 angles of anothe…
** cross-product property of proportio…
a/b = c/d is equivalent to ad = bc ... ( product of extremes =…
* reciprocal property of proportions *
if a/b = c/d , then b/a = d/c ... ( a/b and b/a are reciprocals )
13 terms
Geometry Chapter 7 Vocab and Theorems
ratio
proportions
extended ratios
similar polygons
a comparison of two quantities using division
an equation stating that two ratios are equal
compares three or more quantities
have the same shape, but not necessarily the same size
ratio
a comparison of two quantities using division
proportions
an equation stating that two ratios are equal
Geometry Chapter 7 Postulates and Theorems
Means-Extremes Property of Proportions
Properties of proportions (a/b = c/d i…
AA Similarity Postulate
CASTC
The product of the extremes equals the product of the means.
a/b = c/d is equivalent to:... 1. ad = bc... 2. a/c = b/d... 3. b/a…
If two angles of one triangle are respectively congruent to t…
Corresponding Angles of Similar Triangles are Congruent
Means-Extremes Property of Proportions
The product of the extremes equals the product of the means.
Properties of proportions (a/b = c/d i…
a/b = c/d is equivalent to:... 1. ad = bc... 2. a/c = b/d... 3. b/a…
18 terms
Geometry Chapter 7 Theorems and Postulates
Postulate 7-1:Angle-Angle Similarity P…
Theorem 7-2:Side-Angle-Side Similarity…
Theorem 7-3: Side-Side-Side Similarity…
Theorem 7-3
if two angles of one triangle are congruent to two angles of…
if an angle of one triangle is congruent to an angle of a sec…
if the corresponding sides of two triangles are proportional,…
the altitude to the hypotenuse of a right triangle divides th…
Postulate 7-1:Angle-Angle Similarity P…
if two angles of one triangle are congruent to two angles of…
Theorem 7-2:Side-Angle-Side Similarity…
if an angle of one triangle is congruent to an angle of a sec…
Honors Geometry Chapter 7 THEOREMS
The sum of the angles of a quadrilateral
a quadrilateral is equiangular iff
the opposite sides and angles of a par…
the diagonals of a parallelogram
is 360
it is a rectangle
are equal
bisect each other
The sum of the angles of a quadrilateral
is 360
a quadrilateral is equiangular iff
it is a rectangle
Honors Geometry Chapter 7 Postulates and Theorems
Theorem 7-1: SAS Similarity Theorem
Theorem 7-2: SSS Similarity Theorem
Theorem 7-3: Triangle Proportionality…
Theorem 7-4: Triangle Angle-Bisector T…
If an angle of one triangle is congruent to an angle of anoth…
If the sides of two triangles are in proportion, then the tri…
If a line parallel to one side of triangle intersects the oth…
If a ray bisects an angle of a triangle, then it divides the…
Theorem 7-1: SAS Similarity Theorem
If an angle of one triangle is congruent to an angle of anoth…
Theorem 7-2: SSS Similarity Theorem
If the sides of two triangles are in proportion, then the tri…
17 terms
Geometry Theorems, Formulas, etc. (Chapter 7)
squares of the legs
Pythagorean Theorem
Right Triangle
½(b)(h)
Pythagorean Theorem: In a right triangle, the square of the l…
What theorem is this?
The Pythagorean Theorem is only true for what type of triangle?
Area of a triangle
squares of the legs
Pythagorean Theorem: In a right triangle, the square of the l…
Pythagorean Theorem
What theorem is this?
13 terms
Geometry chapter 7 definitions and theorems
Ratio
Proportion
Similar polygons
Similarity Ratio
Comparison of numbers
Two equal ratios
Corresponding angles are congruent and their corresponding si…
Ratio of the lengths of the corresponding sides of two simila…
Ratio
Comparison of numbers
Proportion
Two equal ratios
15 terms
Geometry Theorems, Postulates, and Definitions, Chapter 7
Theorem 24
Corollary to theorem 24
Theorem 25
Theorem 26
The sum of the angles of a quadrilateral is 360°
A quadrilateral is equiangular iff it is a rectangle
The opposite sides and angles of a parallelogram are equal
The diagonals of a parallelogram bisect each other
Theorem 24
The sum of the angles of a quadrilateral is 360°
Corollary to theorem 24
A quadrilateral is equiangular iff it is a rectangle
8 terms
Geometry Chapter 7 Postulates, Theorems, and Corollaires
Angle Angle Similarity Postulate
Side Side Side Similarity Theorem
Side Angle Side Similarity Theorem
Triangle Proportionality Theorem
If two angles of one triangle are congruent to two angles of…
If the three sides of one triangle are proportional to the th…
If two sides of one triangle are proportional to two sides of…
If a line parallel to a side of a triangle intersects the oth…
Angle Angle Similarity Postulate
If two angles of one triangle are congruent to two angles of…
Side Side Side Similarity Theorem
If the three sides of one triangle are proportional to the th…
9 terms
Geometry chapter 7 similarity theorems + postulate
SAS
SSS
Altitude hypotenuse
Corollary to altitude hypotenuse
If an angle of one triangle is congruent to angle of a second…
If the sides of two triangles are portional, then the triangl…
The altitude to the hypotenuse of a right triangle divides th…
The length of the altitude to the hypotenuse of a right trian…
SAS
If an angle of one triangle is congruent to angle of a second…
SSS
If the sides of two triangles are portional, then the triangl…
23 terms
Geometry Chapter 7-9 Theorems and Postulates
Theorem 7.3
Theorem 7.5
Composition Theorem
Cross Product Property
If lines k and m intersect at point P, then a reflection in l…
If lines k and m are parallel, then a reflection in line k fo…
the composition of two (or more) isometries is an isometry
the product of the extremes equals the product of the means
Theorem 7.3
If lines k and m intersect at point P, then a reflection in l…
Theorem 7.5
If lines k and m are parallel, then a reflection in line k fo…
22 terms
Geometry Chapter 7 (& 6.4) Postulates & Theorems
ratio (of one number to another)
The ratio of 3:4
The ratio of 3 to 4 to 5
proportion
Is the quotient when the first number is divided by the secon…
3:4... 3 to 4... 3/4
3:4:5
an equation stating that two ratios are equal (a/b = c/d)
ratio (of one number to another)
Is the quotient when the first number is divided by the secon…
The ratio of 3:4
3:4... 3 to 4... 3/4
Chapter 7 Theorems and Topics - Honors Geometry
The measure of an exterior angle of a…
Midline theorem
No choice theorem
S(i) = ____________
the sum of the remote interior angles
If a segment joins the midpoints of two sides of a triangle,…
If two angles of one triangle are congruent to two angles of…
(n-2)180 - sum of interior angles
The measure of an exterior angle of a…
the sum of the remote interior angles
Midline theorem
If a segment joins the midpoints of two sides of a triangle,…
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