Chapter 4 Triangle Congruence TEST

Front

If AB ∥ CD, is ΔACD ≅ ΔCAB?

Back

Yes; the triangles are congruent by Side-Angle-Side.

Front

If m∠BEF = 100 and m∠CBE = 75, what is m∠DAG?

Back

25°

Front

Is ΔAJG ≅ ΔCDF?

Back

Yes; both triangles are right triangles, CF ≅ AG, and DF ≅ JG, so the triangles are congruent by Hypotenuse-Leg.

Front

What is MR in the given diagram?

Back

20

Front

What is m∠LMN?

Back

63°

Front

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

Back

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

Front

What is the Angle-Side-Angle (ASA) postulate?

Back

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

Front

Define Hypotenuse-Leg (HL) theorem.

Back

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

Front

What is the definition of congruent triangles?

Back

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

Front

What is the relationship between parallel lines and angles formed by a transversal?

Back

When a transversal crosses parallel lines, alternate interior angles are congruent.