# 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…

SSS

SAS

ASA

ITT

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

If two sides and the included angle of one triangle are congru…

If two angles and the included side of one triangle are congru…

If two sides of a triangle are congruent, then the angles oppo…

SSS

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

SAS

If two sides and the included angle of one triangle are congru…

Theorem 4-1: Third Angles Theorem

Postulate 4-1: Side-Side-Side (SSS) Pos…

Postulate 4-2: Side-Angle-Side (SAS) Po…

Postulate 4-3: Angle-Side-Angle (ASA) P…

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

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

If two sides and the included angle of one triangle are congru…

If two angles and the included side of one triangle are congru…

Theorem 4-1: Third Angles Theorem

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

Postulate 4-1: Side-Side-Side (SSS) Pos…

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

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

The acute angles of a right triangle are complementary.

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

Triangle Sum Theorem

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

Exterior Angle Theorem

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

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.

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.…

Theorem 4.1 Triangle Sum Theorem

Theorem 4.2 Exterior Angle Theorem

Corollary to the Triangle Sum Theorem

Theorem 4.3 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 to two angels of a…

Theorem 4.1 Triangle Sum Theorem

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

Theorem 4.2 Exterior Angle Theorem

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

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…

Triangle sum ... Theorem

Exterior angle 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 to two angles of a…

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 of a triangle is equal to the…

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…

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.

the verticle angles theorem

Alternate Interior Angles Theorem

Same-Side interior angles postulate

corresponding angles theorem

if two angles are verticle angles, than the angles are congrue…

if two parallel lines are cut by a transversal, then the pairs…

if two parallel lines are cut by a transversal, then the pairs…

if two parallel lines are cut by a transversal, then the pairs…

the verticle angles theorem

if two angles are verticle angles, than the angles are congrue…

Alternate Interior Angles Theorem

if two parallel lines are cut by a transversal, then the pairs…

Triangle Sum Theorem

Corollary to the Triangle Sum Theorem

Exterior Angles Theorem

Third Angles Theorem

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

The acute angles of a right triangle are complementary.

The measure of an exterior angle of a triangle equals the sum…

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

Triangle Sum Theorem

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

Corollary to the Triangle Sum Theorem

The acute angles of a right triangle are complementary.

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.

Same-Side Interior Angles Postulate

Alternate Interior Angles Theorem

Corresponding Angles Theorem

Converse of the Same-Side Interior Angl…

If two parallel lines are cut by a transversal, then the pairs…

If two parallel lines are cut by a transversal, then the pairs…

If two parallel lines are cut by a transversal, then the pairs…

If two lines are cut by a transversal so that a pair of same-s…

Same-Side Interior Angles Postulate

If two parallel lines are cut by a transversal, then the pairs…

Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal, then the pairs…

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…

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 ____________

The sum of the angle measures of a tria…

The acute angles of a right triangle ar…

The measure of each angle of an equiang…

The measure of an exterior angle of a t…

The sum of the angle measures of a triangle is ________.

The acute angles of a right triangle are _____________________…

The measure of each angle of an equiangular triangle is ______…

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

The sum of the angle measures of a tria…

The sum of the angle measures of a triangle is ________.

The acute angles of a right triangle ar…

The acute angles of a right triangle are _____________________…

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

Third Angles Theorem

Side-side-side Postulate (SSS)

Side-angle-side Postulate (SAS)

Angle-side-angle Postulate (ASA)

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

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

If two sides and the included angle of one triangle are congru…

If two angles and a non-included side of the triangle are cong…

Third Angles Theorem

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

Side-side-side Postulate (SSS)

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

Translation Postulate

Composition Theorem

Reflection Postulate

Rotation Postulate

A translation is a rigid motion.

The composition of two (or more) rigid motions is a rigid moti…

A reflection is a rigid motion.

A rotation is a rigid motion.

Translation Postulate

A translation is a rigid motion.

Composition Theorem

The composition of two (or more) rigid motions is a rigid moti…

Translation Postulate (Postulate 4.1)

Composition Theorem (Theorem 4.1)

If (a,b) is reflected in the x-axis...

If (a,b) is reflected in the y-axis...

a translation is a rigid motion

the composition of two (or more) rigid motion is a rigid motion

then its image is the point (a,-b)

then its image is the point (-a,b)

Translation Postulate (Postulate 4.1)

a translation is a rigid motion

Composition Theorem (Theorem 4.1)

the composition of two (or more) rigid motion is a rigid motion

Corollary to a theorem

Theorem

Postulate

Triangle Sum Theorem

is a statement that can be proved easily using the theorem.

is a statement that has been proven

which is taken to be true without proof.

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

Corollary to a theorem

is a statement that can be proved easily using the theorem.

Theorem

is a statement that has been proven

Third Angles Theorem

Side Side Side Postulate (SSS)

Side Angle Side Postulate (SAS)

Angle Side Angle Postulate (ASA)

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

When two triangles have corresponding sides equal in length, t…

If two sides and the included angle of one triangle are congru…

If two angles and the included side of one triangle are congru…

Third Angles Theorem

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

Side Side Side Postulate (SSS)

When two triangles have corresponding sides equal in length, t…

Third Angles Theorem

Side Side Side Postulate (SSS)

Side Angle Side Postulate (SAS)

Angle Side Angle Postulate (ASA)

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

When two triangles have corresponding sides equal in length, t…

If two sides and the included angle of one triangle are congru…

If two angles and the included side of one triangle are congru…

Third Angles Theorem

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

Side Side Side Postulate (SSS)

When two triangles have corresponding sides equal in length, t…