#### Transcript of Congruent Complements Theorem

Right Angles Congruence Theorem

Definition: All

right angles

are

congruent

Congruent Complements Theorem

Definition: If two

angles

are complements of the same

angle

(or of

congruent

angles

), then the two

angles

are

congruent

Triangle

Sum

Theorem

Definition: The sum of the

interior angles

of any

triangle

is equal to 180 degrees

Base Angles Theorem

Definition: If two sides of a

triangle

are

congruent

, the

angles

opposite these sides are

congruent

.

SSS

Definition: If three sides of one

triangle

are

congruent

to three sides of another

triangle

, then the

triangles

are

congruent

.

AAS

Definition: If two

angles

and the non-included side of one

triangle

are

congruent

to the

corresponding parts

of another

triangle

, the

triangles

are

congruent

.

**Geometry Vocab: Theorems #9-17**

All references are highlighted in pink

Congruent Supplements Theorem

Definition: If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent

Exterior Angles Theorem

Definition: A measure of an

exterior angle

of a

triangle

is equal to the sum of the measures of the two non-adjacent

interior angles

.

SAS

Definition: If two sides and the included

angle

of one

triangle

are

congruent

to the

corresponding parts

of another

triangle

, the

triangles

are

congruent

.

ASA

Definition: If two

angles

and the included side of one

triangle

are

congruent

to the

corresponding parts

of another

triangle

, the

triangles

are

congruent

.

HL

Definition: If the

hypotenuse

and

leg

of one

right triangle

are

congruent

to the

corresponding parts

of another

right triangle

, the two

right triangles

are

congruent

.

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