# Study sets matching "geometry theorems chapter 7 gifted"

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SSS Congruence Theorem

SAS Congruence Theorem

ASA Congruence Theorem

AAS Congruence Theorem

If, in two triangles, three sides of one are congruent to thre…

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 one…

SSS Congruence Theorem

If, in two triangles, three sides of one are congruent to thre…

SAS Congruence Theorem

If, in two triangles, two sides and the included angle of one…

Corollary to the Polygon Interior Angle…

Polygon Exterior Angles Theorem

Parallelogram Opposite Sides Theorem

Parallelogram Opposite Angles Theorem

the sum of the measure of the interior angles of a quadrilater…

the sum of the measures of the exterior angles of a convex pol…

if a quadrilateral is a parallelogram, then its opposite sides…

if a quadrilateral is a parallelogram, then its opposite angle…

Corollary to the Polygon Interior Angle…

the sum of the measure of the interior angles of a quadrilater…

Polygon Exterior Angles Theorem

the sum of the measures of the exterior angles of a convex pol…

Polygon Interior Angles Theorem

Corollary to the Polygon Interior Angle…

Polygon Exterior Angles Theorem

Parallelogram Opposite Sides Theorem

The sum of the measures of the interior angles of a convex n-g…

The sum of the measures of the interior angles of a quadrilate…

The sum of the measures of the exterior angles of a convex pol…

If a quadrilateral is a parallelogram, then its opposite sides…

Polygon Interior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

Corollary to the Polygon Interior Angle…

The sum of the measures of the interior angles of a quadrilate…

Triangle proportionality theorem

Corollary

Angle bisector theorem

A Property of proportions

If a line is parallel to one side of a triangle and intersects…

If 3 or more parallel lines intersect 2 transversals, then the…

An angle bisector in a triangle separates the opposite side in…

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 intersects…

Corollary

If 3 or more parallel lines intersect 2 transversals, then the…

Diags rhombus perpendicular thm

Diags rhombus bisect opp angles thm.

Diags rectangle congruency thm.

What does a parallelogram have? Or cons…

A parallelogram is a rhombus if and only if(iff)diagonals perp…

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 perp…

Diags rhombus bisect opp angles thm.

A parallelogram is a rhombus iff each diagonal bisects a pair…

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

Corollary to the Polygon Interior... Angle…

Polygon Exterior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

The sum of the measures of the interior angles of a... quadrilate…

The sum of the measures of the exterior angles of a convex pol…

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

Corollary to the Polygon Interior... Angle…

Polygon Exterior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

The sum of the measures of the interior angles of a... quadrilate…

The sum of the measures of the exterior angles of a convex pol…

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

extremes of a proportion / means of a p…

geometric mean

indirect measurement

proportion

in the proportion a/b=c/d, a and d are the extremes, b and c a…

the number x such that a/x=x/b, where a, b, and x are positive…

a way of measuring things that are difficult to measure direct…

a statement that two ratios are equal; an extended proportion…

extremes of a proportion / means of a p…

in the proportion a/b=c/d, a and d are the extremes, b and c a…

geometric mean

the number x such that a/x=x/b, where a, b, and x are positive…

Ratio

Proportion

Extended Proportion

Cross-Product Property

A comparison of two quantities.

A statement that two ratios are equal.

Three or more ratios are equal.

When you multiply ad and then bc together. You then set them e…

Ratio

A comparison of two quantities.

Proportion

A statement that two ratios are equal.

Polygon Interior Angles Theorem

Corollary to the Polygon Interior Angle…

Polygon Exterior Angles Theorem

Parallelogram Opposite Sides Theorem

The sum of the measures of the interior angles of a convex n-g…

The sum of the measures of the interior angles of a quadrilate…

The sum of the measures of the exterior angles of a convex pol…

If a quadrilateral is a parallelogram, then its opposite sides…

Polygon Interior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

Corollary to the Polygon Interior Angle…

The sum of the measures of the interior angles of a quadrilate…

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-g…

The sum of the measures of the interior angles of a quadrilate…

The sum of the measures of the exterior angles of a convex pol…

If a quadrilateral is a parallelogram, then its opposite sides…

7.1 Polygon Interior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

Corollary 7.1 Corollary to the Polygon…

The sum of the measures of the interior angles of a quadrilate…

Definition of a Rhombus

Definition of a Rectangle

Definition of a Square

Rhombus Corollary

A parallelogram with four congruent sides

A parallelogram with four right angles

A parallelogram with four congruent sides and four right angles

A quadrilateral is a rhombus if and only if it has four congru…

Definition of a Rhombus

A parallelogram with four congruent sides

Definition of a Rectangle

A parallelogram with four right angles

Cross Products Property

Reciprocal Property of Proportion

Switch the Means Property of Proportion

Add the Denominator Property of Proport…

In a proportion, the product of the extremes equals the produc…

In a proportion, the reciprocals of the ratios are equal.

In a proportion, if the means are switched, the ratios are sti…

In a proportion, if the denominator is added to the numerator…

Cross Products Property

In a proportion, the product of the extremes equals the produc…

Reciprocal Property of Proportion

In a proportion, the reciprocals of the ratios are equal.

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 e…

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

Task 1

Task 2

Task 3

Task 4

Show that both pairs of opposite sides are parallel

show that both pairs of opposite sides are congruent

Show that both pairs of opposite angles are congruent

Show that one pair of opposite sides are congruent and parallel

Task 1

Show that both pairs of opposite sides are parallel

Task 2

show that both pairs of opposite sides are congruent

Cross products property

Similar polygons

Angle-angle similarity

Side-Side-Side similarity

In a proportion if A/B=C/D then AD=BC

Two polygons are similar if and only if their correspondence a…

If two angles of one triangle are congruent to two angles of a…

If three sides of one triangles are proportional to three corr…

Cross products property

In a proportion if A/B=C/D then AD=BC

Similar polygons

Two polygons are similar if and only if their correspondence a…

SAS Similarity Theorem

SSS Similarity Theorem

Triangle Proportionality Theorem

Corollary

if an angle of one triangle is congruent to an angle of anothe…

if the sides of two triangles are in proportion, then the tria…

if a line parallel to one side of a triangle intersects the ot…

if three parallel lines intersect two transversals, then they…

SAS Similarity Theorem

if an angle of one triangle is congruent to an angle of anothe…

SSS Similarity Theorem

if the sides of two triangles are in proportion, then the tria…

Theorem 7.1 Perimeters of Similar Polyg…

Postulate 7.1 Angle-Angle (AA) Similari…

Theorem 7.2 Side-Side-Side (SSS) Simila…

Theorem 7.3 Side-Angle-Side (SAS) Simil…

If two polygons are similar, then their perimeters are proport…

If two angles of one triangle are congruent to two angles of a…

IF the corresponding side lengths of two triangles are proport…

If the lengths of two sides of one triangle are proportional t…

Theorem 7.1 Perimeters of Similar Polyg…

If two polygons are similar, then their perimeters are proport…

Postulate 7.1 Angle-Angle (AA) Similari…

If two angles of one triangle are congruent to two angles of a…

AA~

SSS~

SAS~

Theorem 7-3

If two angles of one triangle are congruent to two angles of a…

If the corresponding sides of two triangles are proportional,…

If an angle of one triangle is congruent to an angle of a seco…

The altitude to the hypotenuse of a right triangle divides the…

AA~

If two angles of one triangle are congruent to two angles of a…

SSS~

If the corresponding sides of two triangles are proportional,…

Ratio

Proportion

Similar

Similarity Ratio

Comparison of two qualities

Statement stating two ratios equal

Two figures having the same shape but not same size. Correspon…

Ratio of lengths of corresponding sides

Ratio

Comparison of two qualities

Proportion

Statement stating two ratios equal

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-g…

The sum of the measures of the interior angles of a quadrilate…

The sum of the measures of the exterior angles of a convex pol…

If a quadrilateral is a parallelogram, then its opposite sides…

7.1 Polygon Interior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

Corollary 7.1 Corollary to the Polygon…

The sum of the measures of the interior angles of a quadrilate…

Theorem 7.1 Perimeters of Similar Polyg…

Postulate 7.1 Angle-Angle (AA) Similari…

Theorem 7.2 Side-Side-Side (SSS) Simila…

Theorem 7.3 Side-Angle-Side (SAS) Simil…

If two polygons are similar, then their perimeters are proport…

If two angles of one triangle are congruent to two angles of a…

IF the corresponding side lengths of two triangles are proport…

If the lengths of two sides of one triangle are proportional t…

Theorem 7.1 Perimeters of Similar Polyg…

If two polygons are similar, then their perimeters are proport…

Postulate 7.1 Angle-Angle (AA) Similari…

If two angles of one triangle are congruent to two angles of a…

Polygon interior angles theorem

polygon exterior angles theorem

Corollary to Polygon interior angles th…

Parallelogram opposite sides theorem

sum of interior angles of a convex n-gon is ... (n-2)*180

sum of exterior angels of a convex polygon, all angles equal t…

sum of interior angles measure is 360 degrees

if a quadrilateral is a parallelogram, then its opposite sides…

Polygon interior angles theorem

sum of interior angles of a convex n-gon is ... (n-2)*180

polygon exterior angles theorem

sum of exterior angels of a convex polygon, all angles equal t…