# Study sets matching "geometry chapter 4 theorems postulates"

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triangle sum theorem

exterior angles theorem

corollary to the triangle sum theorem

third angles theorem

the sum of the measures of the interior angles of a triangle i…

the measure of an exterior angle of a triangle is equal to the…

the acute angles of a right triangle are complementary

if two angles of one triangle are congruent tot two angles of…

triangle sum theorem

the sum of the measures of the interior angles of a triangle i…

exterior angles theorem

the measure of an exterior angle of a triangle is equal to the…

triangle sum theorem

exterior angles theorem

corollary to the triangle sum theorem

third angles theorem

the sum of the measures of the interior angles of a triangle i…

the measure of an exterior angle of a triangle is equal to the…

the acute angles of a right triangle are complementary

if two angles of one triangle are congruent tot two angles of…

triangle sum theorem

the sum of the measures of the interior angles of a triangle i…

exterior angles theorem

the measure of an exterior angle of a triangle is equal to the…

Triangle Sum Theorem

Exterior Angle Theorem

Corollary to the Triangle Sum Theorem

Third Angle Theorem

The sum of the measures of the interior angles of a triangle i…

The measure of an exterior angle is equal to the sum of the me…

The acute angles of a right triangle are complementary

If two triangles have two pairs of angles congruent, then thei…

Triangle Sum Theorem

The sum of the measures of the interior angles of a triangle i…

Exterior Angle Theorem

The measure of an exterior angle is equal to the sum of the me…

Congruent Polygon

Theorem 4-1... Third Angled Theorem

Postulate 4-1 ... Side Side Side Postulate…

Postulate 4-2 ... Side Angle Side (SAS)

all of its corresponding sides are congruent all corresponding…

If 2 angles of one triangle are congruent to 2 angles of anoth…

If 3 sides of one triangle are congruent to 3 sides of another…

If 2 sides and an included angle of one triangle are congruent…

Congruent Polygon

all of its corresponding sides are congruent all corresponding…

Theorem 4-1... Third Angled Theorem

If 2 angles of one triangle are congruent to 2 angles of anoth…

Congruent Polygon

Third Angled Theorem

Side Side Side Postulate (SSS)

Side Angle Side (SAS)

all of its corresponding sides are congruent all corresponding…

If 2 angles of one triangle are congruent to 2 angles of anoth…

If 3 sides of one triangle are congruent to 3 sides of another…

If 2 sides and an included angle of one triangle are congruent…

Congruent Polygon

all of its corresponding sides are congruent all corresponding…

Third Angled Theorem

If 2 angles of one triangle are congruent to 2 angles of anoth…

Postulate

Postulate

Postulate

Postulate

A line segment can be extended to any length in either directi…

Through two given points, one and only one line can be drawn.…

Two lines cannot intersect in more than one point

One and only one circle can be drawn with any given point as c…

Postulate

A line segment can be extended to any length in either directi…

Postulate

Through two given points, one and only one line can be drawn.…

Triangle Sum Theorem

Corollary 3

Corollary 4

Third angles theorem

The sum of the angle measures in a triangle is 180 degrees

The acute angles of a right triangle are complementary.

The measure of each angle in a equiangular triangle is 60 degr…

Of two angles in one triangle are congruent to two angles in a…

Triangle Sum Theorem

The sum of the angle measures in a triangle is 180 degrees

Corollary 3

The acute angles of a right triangle are complementary.

Isosceles Triangle Theorem

If two angles of a triangle are congrue…

The bisector of the vertex angle of an…

If two angles and the non-included side…

If 2 sides of a triangle are congruent then the angles opposit…

...then the sides opposite those angle are congruent

...perpendicular to the base at its midpoint

...congruent

Isosceles Triangle Theorem

If 2 sides of a triangle are congruent then the angles opposit…

If two angles of a triangle are congrue…

...then the sides opposite those angle are congruent

Triangle Sum Theorem (4.1)

Exterior Angle Theorem (4.2)

Corollary to the triangle sum theorem

Complementary Angles =

The sum of the measures of the interior angles of a triangle i…

The measures of an exterior angle of a triangle is equal to th…

The acute angles of a right triangle are complementary

Add up to 90

Triangle Sum Theorem (4.1)

The sum of the measures of the interior angles of a triangle i…

Exterior Angle Theorem (4.2)

The measures of an exterior angle of a triangle is equal to th…

Triange Sum Theorem

Corollary 4-2-2

Corollary 4-2-3

Exterior Angle Theorem

The sum of the angle measues of a triangle is 180 degrees.

The acute angles of a right triangle are complementary.

The measures of each angle of an equiangular triangle is 60 de…

The measure of an exterior angle of a triangle is equal to the…

Triange Sum Theorem

The sum of the angle measues of a triangle is 180 degrees.

Corollary 4-2-2

The acute angles of a right triangle are complementary.

triangle sum theorem

exterior angles theorem

third angles theorem

SSS Congruence Postulate (Side-Side-Sid…

the sum of the measures of the interior angles of a triangle i…

the measure of an exterior angle of a triangle is equal to the…

if two angles of one triangle are congruent tot two angles of…

if three sides of one triangle are congruent to three sides of…

triangle sum theorem

the sum of the measures of the interior angles of a triangle i…

exterior angles theorem

the measure of an exterior angle of a triangle is equal to the…

Theorem 7

Definition of a perpendicular line

Corollary to the definition of a right…

Theorem 8

⊥ Lines form four right angles.

Two lines are perpendicular iff they form a right angle

All right angles are equal.

If the angles in a linear pair are equal, then their sides are…

Theorem 7

⊥ Lines form four right angles.

Definition of a perpendicular line

Two lines are perpendicular iff they form a right angle

triangle sum theorem

exterior angles theorem

corollary to the triangle sum theorem

third angles theorem

the sum of the measures of the interior angles of a triangle i…

the measure of an exterior angle of a triangle is equal to the…

the acute angles of a right triangle are complementary

if two angles of one triangle are congruent tot two angles of…

triangle sum theorem

the sum of the measures of the interior angles of a triangle i…

exterior angles theorem

the measure of an exterior angle of a triangle is equal to the…

Triange-Angle Sum Theorem

Exterior Angle of a Triangle Corollary

Acute Angles of a Right Triangle Coroll…

Third Angles Theorem

the sum of the measures of the interior angles of a triangle i…

if two angles of of triangle are congruent with two angles of…

Triange-Angle Sum Theorem

the sum of the measures of the interior angles of a triangle i…

Exterior Angle of a Triangle Corollary

Theorem 4.1: Triangle Angle-Sum Theorm

Theorem 4.2 Exterior Angle Theorem

Triangle Angle-Sum Corollaries

4.3 Third angles Theorem

The sum of the measures of the angles of a triangle is 180 ... mA…

The measure of an exterior angle of a triangle is equal to the…

4.1: The acute angles of a right triangle are complementary ... 4…

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

Theorem 4.1: Triangle Angle-Sum Theorm

The sum of the measures of the angles of a triangle is 180 ... mA…

Theorem 4.2 Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to the…

Leg-Leg Congruence

Hypotenuse-Angle Congruence

Leg-Angle Congruence

Hypotenuse-Leg Congruence

If the legs of one right triangle are congruent to the corresp…

If the hypotenuse and acute angle of one right triangle are co…

If one leg and an acute angle of one right triangle are congru…

If the hypotenuse and a leg of one right triangle are congruen…

Leg-Leg Congruence

If the legs of one right triangle are congruent to the corresp…

Hypotenuse-Angle Congruence

If the hypotenuse and acute angle of one right triangle are co…

Third Angle Theorem

SSS (side-side-side)

SAS (side-Angle- side)

ASA (angle-side-angle)

If 2 angles of one triangle are congruent to two angles of ano…

If the 3 sides of one triangle are congruent to the 3 sides of…

If 2 sides and the included angle of one triangle are congruen…

If 2 angles and the included side of one triangle are congruen…

Third Angle Theorem

If 2 angles of one triangle are congruent to two angles of ano…

SSS (side-side-side)

If the 3 sides of one triangle are congruent to the 3 sides of…

ITT

Corollary #1

Corollary #2

Corollary #3

If 2 sides of a triangle are congruent, then the angles opposi…

An equilateral triangle is also equiangular.

An equilateral triangle has three 60 degree angles.

The bisector of the vertex angle of an isosceles triangle is p…

ITT

If 2 sides of a triangle are congruent, then the angles opposi…

Corollary #1

An equilateral triangle is also equiangular.

Third Angles Theorem

Reflexive Property of Congruence

Side-Side-Side (SSS) Congruence

Side-Angle-Side (SAS) Congruence

If 2 angles of one triangle are congruent to 2 angles of a sec…

When 2 triangles share a common side we use the ___________ to…

If 3 sides of one triangle are congruent to 3 sides of a 2nd t…

If 2 sides and the INCLUDED angle of one triangle are congruen…

Third Angles Theorem

If 2 angles of one triangle are congruent to 2 angles of a sec…

Reflexive Property of Congruence

When 2 triangles share a common side we use the ___________ to…

Angle Sum Theorem

Third Angle Theorem

Exterior Angle Theorem

Side-Side-Side Congruence

The sum of the measures of the angles of a triangle is 180

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

The measure of an exterior angle of a triangle is equal to the…

If the sides of one triangle are congruent to the sides of a s…

Angle Sum Theorem

The sum of the measures of the angles of a triangle is 180

Third Angle Theorem

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

Triangle Sum theorem

Complementary

Equiangular

Two

The sum of the angle measures of a triangle is 180

The acute angles of anright triangle are ____________

The measure of a __________ triangle is 60

The measure of an exterior angle of a triangle is equal to the…

Triangle Sum theorem

The sum of the angle measures of a triangle is 180

Complementary

The acute angles of anright triangle are ____________

Theorem 4.1

Corollary 4.2

Theorem 4.3

Theorem 4.4

Each diagonal divides a parallelogram into two congruent trian…

The opposite sides and opposite angles of a parallelogram are…

Consecutive angles of a parallelogram are supplementary.

The diagonals of a parallelogram bisect each other.

Theorem 4.1

Each diagonal divides a parallelogram into two congruent trian…

Corollary 4.2

The opposite sides and opposite angles of a parallelogram are…