Congruent Triangles Quiz

If ΔDEF≅ΔXYZ, draw a picture of the two congruent triangles. Mark the congruent angles and list their congruence in the blanks provided.

If ΔABC≅ΔDCB, mark the congruent sides and list their congruence statements in the blanks provided.

If ΔABE≅ΔCDE in the diagram below, mark the picture with congruent sides and angles.

Which two triangles are congruent? Write the congruence statement.

If \( \overline{XW} \parallel \overline{YZ} \) and \( \overline{VW} \parallel \overline{XZ} \), select all of the following that would prove \( \triangle VXW \cong \triangle XYZ \). For each answer that you select, list the postulate or theorem that would prove the two triangles congruent.

• A. \( \angle W \cong \angle Z \)

• B. \( \overline{XW} \cong \overline{YZ} \)

• C. \( X \) is the midpoint of \( \overline{VY} \)

• D. \( \angle WVX \cong \angle ZXY \)

What piece of information is necessary to prove that ΔAJK≅ΔANK by the HL Theorem?

For each of the images below, determine if the triangles are congruent. If they are, state the postulate or theorem that would prove it.

In the figure below, C is the midpoint of AE. Mark the additional piece of information needed to prove that ΔABC≅ΔDEC by the AAS Postulate.

In the image below, ΔSAM≅ΔREN. Solve for x and y.

In the image below, ΔCAT ≅ ΔDOG. Find the value of x.