Intro to Triangle Congruence

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence that states 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 SSS stand for in triangle congruence?

Back

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

Front

What additional information is needed to prove two triangles are congruent by SAS?

Back

To prove two triangles are congruent by SAS, you need to know the lengths of two sides and the measure of the included angle.

Front

What additional information is needed to prove two triangles are congruent by SSS?

Back

To prove two triangles are congruent by SSS, you need to know the lengths of all three sides of both triangles.

Front

How can you determine if two triangles are congruent?

Back

You can determine if two triangles are congruent by using congruence criteria such as SAS, SSS, ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The ASA criterion 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 is the Angle-Angle-Side (AAS) criterion for triangle congruence?

Back

The AAS criterion 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 is the Hypotenuse-Leg (HL) criterion for triangle congruence?

Back

The HL criterion states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the significance of corresponding parts in triangle congruence?

Back

Corresponding parts are the sides and angles of triangles that are in the same relative position. If two triangles are congruent, their corresponding parts are equal.

Front

How can you use a diagram to determine triangle congruence?

Back

You can use a diagram to visually compare the sides and angles of two triangles to see if they meet any of the congruence criteria (SAS, SSS, ASA, AAS, HL).