Congruent Triangles

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

If two angles of a triangle are known, how can you find the third angle?

Back

You can find the third angle by subtracting the sum of the known angles from 180 degrees.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What theorem can be used to prove triangles are congruent if two sides and the included angle are known?

Back

The Side-Angle-Side (SAS) theorem can be used to prove triangles are congruent if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.

Front

What is the Side-Side-Side (SSS) theorem?

Back

The SSS theorem states that if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What does it mean if triangles cannot be proven congruent?

Back

If triangles cannot be proven congruent, it means there is insufficient information or the given information does not meet any of the congruence criteria (AAS, ASA, SAS, SSS, etc.).

Front

How can you determine if two triangles are congruent using the AAS theorem?

Back

To determine if two triangles are congruent using the AAS theorem, check if two angles and a non-included side of one triangle are congruent to the corresponding parts of the other triangle.

Front

What is the relationship between corresponding angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, and corresponding sides are equal in length.