# Study sets matching "honors geometry chapter 4 postulates theorems"

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Theorem 4.1 (Angle Sum Theorem)

Theorem 4.2 (Exterior Angles Theorem)

Corollary 4.1

Corollary 4.2

all three angles of a triangle equal 180 degrees

The exterior angle is equal to the sum of the 2 remote interio…

In a right triangle, the 2 acute angles are complementary

A triangle can have at most one right angle or one obtuse angle

Theorem 4.1 (Angle Sum Theorem)

all three angles of a triangle equal 180 degrees

Theorem 4.2 (Exterior Angles Theorem)

The exterior angle is equal to the sum of the 2 remote interio…

Polygons whose corresponding parts are…

The same or equal.

If two angles of one triangle are congr…

If three sides of one triangle are cong…

Congruent Polygons

Congruent

Triangle Third Angle Sum Theorem

SSS Congruence Postulate

Polygons whose corresponding parts are…

Congruent Polygons

The same or equal.

Congruent

Theorem 4.1 (Angle Sum Theorem)

Theorem 4.2 (Exterior Angles Theorem)

Corollary 4.1

Corollary 4.2

all three angles of a triangle equal 180 degrees

The exterior angle is equal to the sum of the 2 remote interio…

In a right triangle, the 2 acute angles are complementary

A triangle can have at most one right angle or one obtuse angle

Theorem 4.1 (Angle Sum Theorem)

all three angles of a triangle equal 180 degrees

Theorem 4.2 (Exterior Angles Theorem)

The exterior angle is equal to the sum of the 2 remote interio…

Right Angle Congruence Theorem

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If 2 angles are right angles, then they are congruent

If 2 angles are vertical angles, then they are congruent

If 2 angles are supplementary to the same angle or congruent a…

If 2 angles are complementary to the same angle or congruent a…

Right Angle Congruence Theorem

If 2 angles are right angles, then they are congruent

Vertical Angles Theorem

If 2 angles are vertical angles, then they are congruent

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.

Same-side Interior Angle Postulate... If a…

Alternate Interior Angles Theorem... If a…

Corresponding Angles Theorem... If a trans…

Alternate Exterior Angles Theorem... If a…

supplementary... m∠1 + m∠2 = 180

congruent

corresponding

exterior

Same-side Interior Angle Postulate... If a…

supplementary... m∠1 + m∠2 = 180

Alternate Interior Angles Theorem... If a…

congruent

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…

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…

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…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be put into a one-to-one corresponden…

If B is between A and C, then AB + BC = AC

Given line AB and a point O on line AB, all rays that can be d…

If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR

Ruler Postulate

The points on a line can be put into a one-to-one corresponden…

Segment Addition Postulate

If B is between A and C, then AB + BC = AC

Theorem 6-1: The Exterior Angle Theorem

Theorem 6-2

Theorem 6-3

Corollary 1

The measure of an exterior angle of a triangle is greater than…

If one side of a triangle is longer than a second side, then t…

If one angle of a triangle is larger than a second angle, then…

The perpendicular segment from a point to a line is the shorte…

Theorem 6-1: The Exterior Angle Theorem

The measure of an exterior angle of a triangle is greater than…

Theorem 6-2

If one side of a triangle is longer than a second side, then t…

Theorem 7-1: SAS Similarity Theorem

Theorem 7-2: SSS Similarity Theorem

Theorem 7-3: Triangle Proportionality T…

Theorem 7-4: Triangle Angle-Bisector Th…

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 triangle intersects the othe…

If a ray bisects an angle of a triangle, then it divides the o…

Theorem 7-1: SAS Similarity Theorem

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

Theorem 7-2: SSS Similarity Theorem

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

Point

Line

Planes

Collinear

describe a location, no size (labeled with Capital Letters)

go on in both directions forever, infinite points on a line, n…

infinite number of points contained, flat 2D, 3 points minimum…

All the points lie on same line

Point

describe a location, no size (labeled with Capital Letters)

Line

go on in both directions forever, infinite points on a line, n…

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 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…

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.

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.

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…

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.