Solving Corresponding Parts of Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the Corresponding Parts of Congruent Triangles (CPCTC) theorem?

Back

If two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

Front

How can you determine if two triangles are congruent?

Back

By using congruence criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the SSS congruence criterion?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS congruence criterion?

Back

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 is the ASA congruence criterion?

Back

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 AAS congruence criterion?

Back

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What is the HL congruence criterion?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

How do you find the length of a side in a congruent triangle?

Back

Use the lengths of the corresponding sides from the congruent triangle to determine the unknown side length.