Congruent Triangles Practice

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence between two triangles?

Back

The symbol for congruence is '≅'. For example, if triangle ABC is congruent to triangle DEF, it is written as ΔABC ≅ ΔDEF.

Front

What are the criteria for triangle congruence?

Back

The main criteria for triangle congruence are: 1. Side-Side-Side (SSS) 2. Side-Angle-Side (SAS) 3. Angle-Side-Angle (ASA) 4. Angle-Angle-Side (AAS) 5. Hypotenuse-Leg (HL) for right triangles.

Front

What does the Side-Angle-Side (SAS) criterion state?

Back

The SAS criterion states that if two sides of one triangle are equal to two sides of another triangle, and the included angle is also equal, then the triangles are congruent.

Front

What does the Angle-Side-Angle (ASA) criterion state?

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 corresponding angle in congruent triangles?

Back

In congruent triangles, corresponding angles are angles that occupy the same relative position in each triangle.

Front

What is the corresponding side in congruent triangles?

Back

In congruent triangles, corresponding sides are sides that are equal in length and occupy the same relative position in each triangle.

Front

How can you prove that two triangles are congruent using the SSS criterion?

Back

To prove two triangles are congruent using the SSS criterion, show that all three pairs of corresponding sides are equal in length.

Front

How can you prove that two triangles are congruent using the SAS criterion?

Back

To prove two triangles are congruent using the SAS criterion, show that two pairs of corresponding sides are equal and the angle between those sides is also equal.

Front

What is the significance of the congruence statement ΔABC ≅ ΔDEF?

Back

The congruence statement ΔABC ≅ ΔDEF indicates that triangle ABC is congruent to triangle DEF, meaning all corresponding sides and angles are equal.