Tiangle Congrueence Review

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are congruent if they have the same size and shape, which can be proven using various congruence criteria.

Front

What are the three main criteria for triangle congruence?

Back

1. Side-Side-Side (SSS) Congruence 2. Side-Angle-Side (SAS) Congruence 3. Angle-Side-Angle (ASA) Congruence

Front

If two angles of one triangle are equal to two angles of another triangle, what can be concluded?

Back

The two triangles are congruent (Angle-Angle-Angle or AAA congruence does not prove congruence, but if two angles are equal, the third must also be equal).

Front

What does the notation ΔABC ≅ ΔXYZ signify?

Back

It signifies that triangle ABC is congruent to triangle XYZ.

Front

If AB ≅ XY, what can be inferred about the lengths of AB and XY?

Back

The lengths of segments AB and XY are equal.

Front

What is the measure of the third angle in a triangle if the other two angles are 60° and 52°?

Back

The third angle measures 68° (180° - 60° - 52°).

Front

In triangle congruence, what does the term 'corresponding parts' refer to?

Back

Corresponding parts refer to the sides and angles of congruent triangles that are equal to each other.

Front

What is the significance of the Side-Angle-Side (SAS) criterion?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

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

Front

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

Back

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