# Congruent Parts, Part 2

14 questions

# Congruent Parts, Part 2

##### Math Talk: Which Are Congruent?

Each pair of figures is congruent. Decide whether each congruence statement is true or false.

1) $\triangle ABC \cong \triangle FED$.

Triangle $ABC$ is congruent to triangle $FED$.

2) $PZJM \cong LYXB$

Quadrilateral $PZJM$ is congruent to quadrilateral $LYXB$.

3) $\triangle JKL \cong \triangle QRS$.

Triangle $JKL$ is congruent to triangle $QRS$.

4) $ABCDE \cong PQRST$

Pentagon $ABCDE$ is congruent to pentagon $PQRST$.

##### Which Triangles Are Congruent?

Here are three triangles.

5) Triangle $PQR$ is congruent to which triangle?

6) Explain your reasoning.

7) Show a sequence of rigid transformations that takes $PQR$ to that triangle. Draw each step of the transformation.

8) Explain why there can’t be a rigid transformation to the other triangle.

##### Are These Parts Congruent?

9) Triangle $ABD$ is a rotation of triangle $CDB$ around point $E$ by $180\degree$.

Is angle $ADB$ congruent to angle $CDB$?

10) If so, explain your reasoning. If not, which angle is $ADB$ congruent to?

11) Polygon $HIJKL$ is a reflection and translation of polygon $GFONM$.

Is segment $KJ$ congruent to segment $NM$?

12) If so, explain your reasoning. If not, which segment is $NM$ congruent to?

13) Quadrilateral $PQRS$ is a rotation of polygon $VZYW$.

Is angle $QRS$ congruent to angle $ZYW$?

14) If so, explain your reasoning. If not, which angle is $QRS$ congruent to?