Study sets matching "geometry postulates chapter 8"

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Study sets matching "geometry postulates chapter 8"

12 terms
Geometry Chapter 8 Postulates, Theorems, and Properties
Cross Product Property of proportions
Reciprocal property of proportions
Switching Property of proportions
Add property of proportions
The product of the extremes equals the product of the means.…
If 2 ratios are equal then their reciprocals are also equal.…
If a/b=c/d, then a/c=b/d
If a/b=c/d, then a+b/b=c+d/d
Cross Product Property of proportions
The product of the extremes equals the product of the means.…
Reciprocal property of proportions
If 2 ratios are equal then their reciprocals are also equal.…
12 terms
Geometry: Chapter 8 terms & postulates
geometric mean
simplest form radicals
common Pythagorean triples (5)
if the altitude is drawn to the hypote…
if a, b, and x are positive numbers and a/x = x/b , then x is…
1. No perfect square factor other than 1 is under the radical…
1. 3 - 4- 5... 2. 5 - 12 - 13 ... 3. 8 - 15 - 17... 4. 7 - 24 - 25... 5.…
then the 2 triangles formed are similar to the original trian…
geometric mean
if a, b, and x are positive numbers and a/x = x/b , then x is…
simplest form radicals
1. No perfect square factor other than 1 is under the radical…
10 terms
Geometry Chapter 8 postulates and theorems
Theorem 59
Theorem 60
Theorem 61
Postulate
In a proportion, the product of the means is equal to the pro…
If the product of a pair of nonzero numbers is equal to the p…
The ratio of the perimeters of two similar polygons equals th…
If there exists a correspondence between the vertices of two…
Theorem 59
In a proportion, the product of the means is equal to the pro…
Theorem 60
If the product of a pair of nonzero numbers is equal to the p…
9 terms
geometry - chapter 8 postulates and theorems
* theorem 8-1 *
* corollary 1 to theorem 8-1 *
* corollary 2 to theorem 8-1 *
* theorem 8-2 : pythagorean theorem *
if the altitude is drawn to the hypotenuse of a right triangl…
when the altitude is drawn to the hypotenuse of a right trian…
when the altitude is drawn to the hypotenuse of a right trian…
in a right triangle , the square of the hypotenuse is equal t…
* theorem 8-1 *
if the altitude is drawn to the hypotenuse of a right triangl…
* corollary 1 to theorem 8-1 *
when the altitude is drawn to the hypotenuse of a right trian…
10 terms
Geometry Theorems, Postulates and Definitions, Chapter 8
Transformation
Isometry
Reflection
Translation
A(n) __________________ is a one-to-one correspondence betwee…
A(n) _____________________ is a transformation that preserves…
The _______________________ of P through line L is P itself i…
A(n) __________________________ is the composite of two succe…
Transformation
A(n) __________________ is a one-to-one correspondence betwee…
Isometry
A(n) _____________________ is a transformation that preserves…
30 terms
Chapter 8 Geometry Theorems, Definitions, Postulates
Diagonal
Polygon Interior Angles Theorem
Interior Angles of a quadrilateral
Polygon Exterior Angles Theorem
segment that joins two nonconsecutive vertices of a polygon
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…
Diagonal
segment that joins two nonconsecutive vertices of a polygon
Polygon Interior Angles Theorem
The sum of the measures of the interior angles of a convex n-…
Geometry Chapter 8 Postulates and Theorems
Interior Angle Theorem
Exterior Angle Theorem
Theorem 8.3
Theorem 8.4
If a convex polygon has n sides and S is the sum of the measu…
If a polygon is convex, then the sum of the measures of the e…
Opposite sides of parallelogram are congruent.
Opposite angles of a parallelogram are congruent.
Interior Angle Theorem
If a convex polygon has n sides and S is the sum of the measu…
Exterior Angle Theorem
If a polygon is convex, then the sum of the measures of the e…
9 terms
Chapter 8 Geometry Honors Theorems, Postulates, and Definitions
means-extremes product theorem
similar polygons definition
perimeter theorem
3 methods of proving triangles congruent
product of means is equal to the product of extremes
1. corresponding angles are congruent... 2. corresponding sides…
the ratio of the perimeters of any 2 similar polygons equals…
1. AA similarity... 2. SSS similarity... 3. SAS similarity
means-extremes product theorem
product of means is equal to the product of extremes
similar polygons definition
1. corresponding angles are congruent... 2. corresponding sides…
Geometry Chapter 8 Postulates and Theorems
Right Triangle Altitude Theorem
Pythagorean Theorem
Converse of the Pythagorean Theorem
Pythagorean Theorem Corollary
If the altitude is drawn to the hypotenuse of a right triangl…
In a right triangle, the square of the hypotenuse is equal to…
If the square of one side of a triangle is equal to the sum o…
If c²=a²+b², then m∠C=90°, and ∆ABC is right.... If c²<a²+b², th…
Right Triangle Altitude Theorem
If the altitude is drawn to the hypotenuse of a right triangl…
Pythagorean Theorem
In a right triangle, the square of the hypotenuse is equal to…
10 terms
Geometry Postulates Chapter 1
Postulate 1-1 Through any two points,…
Postulate 1-2 If two distinct lines in…
Postulate 1-3 If two distinct _______i…
Postulate 1-4 Through any ________poin…
line
point
planes
three noncollinear
Postulate 1-1 Through any two points,…
line
Postulate 1-2 If two distinct lines in…
point
10 terms
UCSMP Geometry Chapter 8 Theorems and Postulate
Pythagorean Theorem
Pythagorean Theorem (alternate stateme…
Pythagorean Converse Theorem
Isosceles Right Triangle Theorem (a.k.…
In any right triangle with legs of lengths a and b and hypote…
In any right triangle, the sum of the areas of the squares on…
Suppose a triangle has sides of lengths a, b, and c. If a² +…
In any isosceles right triangle, if a leg has length x, then…
Pythagorean Theorem
In any right triangle with legs of lengths a and b and hypote…
Pythagorean Theorem (alternate stateme…
In any right triangle, the sum of the areas of the squares on…
Geometry-Chapter 8- postulates, definitions, theorems
Area postulate
Uniqueness Property
Congruence Property
Additive Property
Uniqueness, congruence, and additive properties and rectangle…
Given a unit region, every polygonal region has a unique area
Congruent figures have the same area
The area of the Union of two non-overlapping regions is the s…
Area postulate
Uniqueness, congruence, and additive properties and rectangle…
Uniqueness Property
Given a unit region, every polygonal region has a unique area
5 terms
Geometry Chapter 8: Postulates, Theorems, and Corollaries
Thm. 8-1-1
Geometric Means Corollary Pt.1
Geometric Means Corollary Pt.2
The Law of Sines
The altitude to the hypotenuse of a right triangle forms 2 tr…
The length of the altitude to the hypotenuse of a right trian…
The length of a leg of a right triangle is the geometric mean…
For any triangle ABC with side lengths a, b, and c:
Thm. 8-1-1
The altitude to the hypotenuse of a right triangle forms 2 tr…
Geometric Means Corollary Pt.1
The length of the altitude to the hypotenuse of a right trian…
Theorems and Postulates- AH Geometry Chapter 8
Theorum 8.1: Polygon interior angles t…
Corollary to the Theorem 8.1: interior…
Theorem 8.2: Polygon Exterior Angles T…
Theorem 8.3
The sum of the measures of interior angles of a n-gon is (n-2…
The sum of the measures of interior angles of a quadrilateral…
The sum of the measures of exterior angles of a polygon is 360
If a quadrilateral is a parallelogram, then it's opposite sid…
Theorum 8.1: Polygon interior angles t…
The sum of the measures of interior angles of a n-gon is (n-2…
Corollary to the Theorem 8.1: interior…
The sum of the measures of interior angles of a quadrilateral…
Chapter 8 CP Geometry Postulates/Theorems
The product of the extremes equals the…
If two ratios are equal, then their re…
If A/B = C/D , then A/C = B/D .
Two polygons are________if their corre…
Cross Product Property
Reciprocal Property
Interchange Means Property
Similar
The product of the extremes equals the…
Cross Product Property
If two ratios are equal, then their re…
Reciprocal Property
9 terms
Postulates, Theorems, and Converses for Geometry Chapter 8
Perimeters of Similar Polygons
Areas of Similar Polygons
Angle-Angle Similarity Theorem
Side-Side-Side Similarity Theorem (SSS)
If 2 polygons are similar, then the ratio of their perimeters…
If two polygons are similar, then the ratios of their areas i…
If 2 angles of one triangle are congruent to 2 angles of anot…
If the corresponding sides lengths of two triangles are propo…
Perimeters of Similar Polygons
If 2 polygons are similar, then the ratio of their perimeters…
Areas of Similar Polygons
If two polygons are similar, then the ratios of their areas i…
18 terms
Honors Geometry Chapter 8 Right Triangles & Trigonometry VOCAB & POSTULATES/THEOREMS
Theorem 8-1: The Pythagorean Theorem
Theorem 8-2: Converse of the Pythagore…
Theorem 8-3
Theorem 8-4
If a triangle is a right triangle, then a² + b² = c².
If a² + b² = c², then the triangle is a right triangle.
If c² > a² + b², then the triangle is obtuse.
If c² < a² + b², then the triangle is acute.
Theorem 8-1: The Pythagorean Theorem
If a triangle is a right triangle, then a² + b² = c².
Theorem 8-2: Converse of the Pythagore…
If a² + b² = c², then the triangle is a right triangle.
10 terms
UCSMP Geometry Chapter 8 Theorems and Postulate
Pythagorean Theorem
Pythagorean Theorem (alternate stateme…
Pythagorean Converse Theorem
Isosceles Right Triangle Theorem (a.k.…
In any right triangle with legs of lengths a and b and hypote…
In any right triangle, the sum of the areas of the squares on…
Suppose a triangle has sides of lengths a, b, and c. If a² +…
In any isosceles right triangle, if a leg has length x, then…
Pythagorean Theorem
In any right triangle with legs of lengths a and b and hypote…
Pythagorean Theorem (alternate stateme…
In any right triangle, the sum of the areas of the squares on…
UCSMP Geometry Chapter 8 Theorems and Postulate
Pythagorean Theorem
Pythagorean Theorem (alternate stateme…
Pythagorean Converse Theorem
Isosceles Right Triangle Theorem (a.k.…
In any right triangle with legs of lengths a and b and hypote…
In any right triangle, the sum of the areas of the squares on…
Suppose a triangle has sides of lengths a, b, and c. If a² +…
In any isosceles right triangle, if a leg has length x, then…
Pythagorean Theorem
In any right triangle with legs of lengths a and b and hypote…
Pythagorean Theorem (alternate stateme…
In any right triangle, the sum of the areas of the squares on…
Geometry Chapter 3 - Theorems and Postulates
Parallel Postulate
Perpendicular Postulate
Corresponding Angles Theorem
Alternate Interior Angles Theorem
If there is a line and a point not on the line, then there is…
If there is a line and a point not on the line, then there is…
If two parallel lines are cut by a transversal, then the pair…
If two parallel lines are cut by a transversal, then the pair…
Parallel Postulate
If there is a line and a point not on the line, then there is…
Perpendicular Postulate
If there is a line and a point not on the line, then there is…
42 terms
Geometry Chapter 2 terms, postulates and theorems
Conclusion
Conditional Statement
Conjecture
Contrapositive
In a conditional statement (if-then statement), the statement…
A statement written in an if then form... A statement of the for…
An educated guess based on known information... pg 78
The statement formed by negating both the hypothesis(educated…
Conclusion
In a conditional statement (if-then statement), the statement…
Conditional Statement
A statement written in an if then form... A statement of the for…
Geometry Chapter 1 Postulates
Postulate 1.1
Postulate 1.2
Postulate 1.3
Postulate 1.4
Through any two points, there is exactly one line
If two lines intersect, they intersect in exactly one point
If two planes intersect, they intersect at exactly one line
Through any three noncollinear points, there is exactly one p…
Postulate 1.1
Through any two points, there is exactly one line
Postulate 1.2
If two lines intersect, they intersect in exactly one point
10 terms
Ch.8 Geometry Theorems and Postulates
Theorem 8-1-1
Geometric Means (Corollary 8-1-2) (Ign…
Geometric Means (Corollary 8-1-3) (Ign…
Trigonometric Ratios (Sine)
The altitude to the hypotenuse of a right triangle forms two…
The length of the altitude to the hypotenuse of a right trian…
The length of a leg of a right triangle is the geometric mean…
The Sine of an angle is the ratio of the length of the leg op…
Theorem 8-1-1
The altitude to the hypotenuse of a right triangle forms two…
Geometric Means (Corollary 8-1-2) (Ign…
The length of the altitude to the hypotenuse of a right trian…
Chapter 8 Theorems and Postulates
Theorem 8-1
Corollary 1 to Theorem 8-1
Corollary 2 to Theorem 8-1
Theorem 8-2 Pythagorean Theorem
If the altitude is drawn to the hypotenuse of a right triangl…
When the altitude is drawn to the hypotenuse of a right trian…
When the altitude is drawn to the hypotenuse of a right trian…
In a right triangle, the square of the hypotenuse is equal to…
Theorem 8-1
If the altitude is drawn to the hypotenuse of a right triangl…
Corollary 1 to Theorem 8-1
When the altitude is drawn to the hypotenuse of a right trian…
19 terms
Chapter 8 Geometry Vocabulary
radius (regular polygon)
polygon
remote interior angles
linear scale factor
a line segment that connects the center of a regular polygon…
a two-dimensional closed figure of three or more line segment…
when a triangle has an exterior angles, these angles are the…
the ratio of similarity. the ratio of any pair of correspondi…
radius (regular polygon)
a line segment that connects the center of a regular polygon…
polygon
a two-dimensional closed figure of three or more line segment…
Geometry Chapter 3 Postulates
Parallel lines
Skew lines
Alternate interior angles
Same side interior angles
Coplanar lines that do not intersect
noncoplanar and non parallel lines
nonadjacent interior angles that lie on opposite sides of the…
Interior angles that lie on the same side of the transversal
Parallel lines
Coplanar lines that do not intersect
Skew lines
noncoplanar and non parallel lines
Geometry: Chapter 1 Postulates
Postulate 1-1
Postulate 1-2
Postulate 1-3
Linear Pair Postulate
Through any 2 points there is a line
If 2 lines intersect, they intersect in exactly 1 point
If 2 planes intersect, they intersect in exactly 1 line
If two angles form a linear pair, then they are supplementry
Postulate 1-1
Through any 2 points there is a line
Postulate 1-2
If 2 lines intersect, they intersect in exactly 1 point
Geometry: Chapter 1 Postulates
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
There is exactly one line through any two points.
Two distinct intersecting lines intersect at exactly one line.
Two distinct intersecting planes intersect at exactly one line.
There is one plane through any three noncollinear points.
Postulate 1-1
There is exactly one line through any two points.
Postulate 1-2
Two distinct intersecting lines intersect at exactly one line.
Chapter 8 Theorems and Postulates
Pythagorean Theorem
Converse of The Pythagorean ... Theorem
Theorem 8-3
Theorem 8-4
If a triangle is a right triangle then the sum of the squares…
Converse of Pythagorean Theorem If the sum of the squares of…
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
If a triangle is a right triangle then the sum of the squares…
Converse of The Pythagorean ... Theorem
Converse of Pythagorean Theorem If the sum of the squares of…
12 terms
Chapter 8
concave
convex
equilateral
regular polygon
caves in
goes out
all sides congruent
equiangular and equilateral
concave
caves in
convex
goes out
19 terms
UCSMP Geometry: Chapter 8, Lengths and Areas; Definitions, Formulas, Postulates, Theorems, and Other
Definition of Perimeter
Area Postulate
Right Triangle Angle Formula
Triangle Area Formula
The perimeter of a polygon is the sum of the lengths of its s…
a. Uniqueness Property... Given a unit region, every polygonal…
The area of a right triangle is half the product of the of th…
The area of a triangle is half the product of the length of a…
Definition of Perimeter
The perimeter of a polygon is the sum of the lengths of its s…
Area Postulate
a. Uniqueness Property... Given a unit region, every polygonal…
15 terms
Geometry Postulates and Theorems Chapter 3
Postulate 3-1 Same-side Interior Angle…
Theorem 3-1 Alternate Interior Angles…
Theorem 3-2 Corresponding Angles Theor…
Theorem 3-3 Alternate Exterior Angles…
supplementary... m∠1 + m∠2 = 180
congruent
corresponding
exterior
Postulate 3-1 Same-side Interior Angle…
supplementary... m∠1 + m∠2 = 180
Theorem 3-1 Alternate Interior Angles…
congruent
9 terms
Big Ideas Math Geometry Chapter 8 Postulates, Properties, & Theorems Mrs. Amma
Perimeters of Similar Polygons
Areas of Similar Polygons
Angle-Angle (AA) Similarity Theorem
Side-Side-Side (SSS) Similarity Theorem
If two polygons are similar, then the ratio of their perimete…
If two polygons are similar, then the ratio of their areas is…
If two angles of one triangle are... congruent to two angles of…
If the corresponding side lengths of... two triangles are propor…
Perimeters of Similar Polygons
If two polygons are similar, then the ratio of their perimete…
Areas of Similar Polygons
If two polygons are similar, then the ratio of their areas is…
Chapter 8 Geometry Vocabulary
radius (regular polygon)
polygon
remote interior angles
linear scale factor
a line segment that connects the center of a regular polygon…
a two-dimensional closed figure of three or more line segment…
when a triangle has an exterior angles, these angles are the…
the ratio of similarity. the ratio of any pair of correspondi…
radius (regular polygon)
a line segment that connects the center of a regular polygon…
polygon
a two-dimensional closed figure of three or more line segment…
11 terms
Geometry - Chapter 3 Postulates and Theorems
Corresponding Angles Postulate - If tw…
Alternate Interior Angles Theorem - If…
Alternate Exterior Angles Theorem - If…
Same-Side Interior Angles Theorem - If…
then the pairs of corresponding angles are congruent.
then the alternate interior angles are congruent.
then the alternate exterior angles are congruent.
then the pairs of same-side interior angles are supplementary.
Corresponding Angles Postulate - If tw…
then the pairs of corresponding angles are congruent.
Alternate Interior Angles Theorem - If…
then the alternate interior angles are congruent.
15 terms
Geometry Postulates and Theorems Chapter 3
Postulate 3-1 Same-side Interior Angle…
Theorem 3-1 Alternate Interior Angles…
Theorem 3-2 Corresponding Angles Theor…
Theorem 3-3 Alternate Exterior Angles…
supplementary... m∠1 + m∠2 = 180
congruent
corresponding
exterior
Postulate 3-1 Same-side Interior Angle…
supplementary... m∠1 + m∠2 = 180
Theorem 3-1 Alternate Interior Angles…
congruent
9 terms
Geometry: Chapter 1 Postulates and Theorems
Expansion Postulate
Line Postulate
Plane Postulate
Flat Plane Postulate
A line contains at least two points. A plane contains at leas…
Any two points in space lie in exactly one line
Three distinct noncollinear points lie in exactly one plane
If two points lie in a plane, then the line containing these…
Expansion Postulate
A line contains at least two points. A plane contains at leas…
Line Postulate
Any two points in space lie in exactly one line
14 terms
Geometry Chapter 5 Theorems & Postulates
Midsegment Theorem
Perpendicular Bisector Theorem
Converse of the Perpendicular Bisector…
Circumcenter Theorem
The segment connecting the midpoints of two sides of a triang…
In a plane, if a point is on the perpendicular bisector of a…
In a plane, if a point is equidistant from the endpoints of a…
The perpendicular bisectors of a triangle intersect at a poin…
Midsegment Theorem
The segment connecting the midpoints of two sides of a triang…
Perpendicular Bisector Theorem
In a plane, if a point is on the perpendicular bisector of a…
Chapter 8 Theorems and Postulates
Theorem 8.1 - Polygon Interior Angles…
Corollary to Theorem 8.1 - Interior An…
Theorem 8.2 - Polygon Exterior Angles…
Theorem 8.3
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…
Theorem 8.1 - Polygon Interior Angles…
The sum of the measures of the interior angles of a convex n-…
Corollary to Theorem 8.1 - Interior An…
The sum of the measures of the interior angles of a quadrilat…
9 terms
Chapter 8 Postulates/Theorems
Theorem 8.1
Theorem 8.2
Theorem 8.3
Theorem 8.4
If the altitude is drawn to the hypotenuse of a right triangl…
The altitude drawn to the hypotenuse of a right triangle sepa…
The altitude drawn to the hypotenuse of a right triangle sepa…
Pythagorean Theorem... In a right triangle, the sum of the squar…
Theorem 8.1
If the altitude is drawn to the hypotenuse of a right triangl…
Theorem 8.2
The altitude drawn to the hypotenuse of a right triangle sepa…
21 terms
Geometry Postulates and Theorems (Chapter 2)
Postulate 2.1
Postulate 2.2
Postulate 2.3
Postulate 2.4
Through any two points, there is exactly one line.
Through any three noncollinear points, there is exactly one p…
A line contains at least two points.
A plane contains at least three noncollinear points.
Postulate 2.1
Through any two points, there is exactly one line.
Postulate 2.2
Through any three noncollinear points, there is exactly one p…
54 terms
Geometry - Chapter 1 Vocabulary and Postulates
point
line
plane
collinear
a location; has no length, no width, no thickness
extends in one dimension; has length but no width and no thic…
A flat surface that has length and width but no thickness
Points that lie on the same line.
point
a location; has no length, no width, no thickness
line
extends in one dimension; has length but no width and no thic…
64 terms
Geometry Postulates and Theorems Chapters 1-5
they are congruent.... Right Angles Cong…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Complem…
If two angles are right angles, then
If two angles are supplementary to the same angle, then
If two angles are supplementary to congruent angles, then
If two angles are complementary to the same angle, then
they are congruent.... Right Angles Cong…
If two angles are right angles, then
they are congruent.... Congruent Supplem…
If two angles are supplementary to the same angle, then
9 terms
Chapter 8 Postulates/Theorems
Theorem 8.1
Theorem 8.2
Theorem 8.3
Theorem 8.4
If the altitude is drawn to the hypotenuse of a right triangl…
The altitude drawn to the hypotenuse of a right triangle sepa…
The altitude drawn to the hypotenuse of a right triangle sepa…
Pythagorean Theorem... In a right triangle, the sum of the squar…
Theorem 8.1
If the altitude is drawn to the hypotenuse of a right triangl…
Theorem 8.2
The altitude drawn to the hypotenuse of a right triangle sepa…
10 terms
Geometry Postulates Chapter 1
Postulate 1-1 Through any two points,…
Postulate 1-2 If two distinct lines in…
Postulate 1-3 If two distinct _______i…
Postulate 1-4 Through any ________poin…
line
point
planes
three noncollinear
Postulate 1-1 Through any two points,…
line
Postulate 1-2 If two distinct lines in…
point
16 terms
Geometry Chapter 3 Theorems & Postulates
Parallel Postulate
Perpendicular Postulate
Corresponding Angles Postulate
Alternate Interior Angles Theorem
If there is a line and a point not on the line, then there is…
If there is a line and a point not on the line, then there is…
If two parallel lines are cut by a transversal, then the pair…
If two parallel lines are cut by a transversal, then the pair…
Parallel Postulate
If there is a line and a point not on the line, then there is…
Perpendicular Postulate
If there is a line and a point not on the line, then there is…
Geometry Postulates Chapter 2
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
Postulate 1
Postulate 2
Postulate 3
Postulate 4
Ruler Postulate
Postulate 1
Segment Addition Postulate
Postulate 2
Geometry Postulates (Chapter Two)
Postulate 2.1
Postulate 2.2
Postulate 2.3
Postulate 2.4
Through any two points, there is exactly one line
Through any three non-collinear points, there is exactly one…
A line contains at least two points
A plane contains at least three non-collinear points
Postulate 2.1
Through any two points, there is exactly one line
Postulate 2.2
Through any three non-collinear points, there is exactly one…
Geometry Chapter 1 (Postulates)
Expansion Postulate
Line Postulate
Plan Postulate
Flat Plane Postulate
A line contains at least 2 points. A plane contains at least…
Any 2 points in space lie in exactly one line.
3 distinct noncollinear points lie in exactly one plane.
If 2 points lie in a plane, then the line containing these 2…
Expansion Postulate
A line contains at least 2 points. A plane contains at least…
Line Postulate
Any 2 points in space lie in exactly one line.
9 terms
Chapter 8 Postulates/Theorems
Theorem 8.1... If the altitude is drawn t…
Theorem 8.2... The altitude drawn to the…
Theorem 8.3... The altitude drawn to the…
Theorem 8.4... Pythagorean Theorem... In a r…
, then the two triangles formed are similar to the original t…
The length of this altitude is the geometric mean between the…
The length of a leg of this triangle is the geometric mean be…
equal to the square of the length of the hypotenuse.
Theorem 8.1... If the altitude is drawn t…
, then the two triangles formed are similar to the original t…
Theorem 8.2... The altitude drawn to the…
The length of this altitude is the geometric mean between the…
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