Intro to Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, which applies to right triangles. It states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the reflexive property in triangle congruence?

Back

The reflexive property states that a triangle is congruent to itself, meaning any side or angle of a triangle is equal to itself.

Front

How can vertical angles be used in triangle congruence?

Back

Vertical angles are always congruent. If two triangles share a pair of vertical angles, this can help establish congruence using the appropriate congruence criteria.

Front

What is the significance of congruence statements?

Back

Congruence statements indicate that two triangles are congruent and provide a way to identify corresponding parts (sides and angles) of the triangles.

Front

How do you complete a triangle congruence statement?

Back

Front

What is the difference between SSS and SAS?

Back

SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.