# Congruent Parts, Part 2

ID: dupuf-gasuv
Illustrative Mathematics, CC BY 4.0
Subject: Geometry
Standards: HSG-CO.B.7HSG-CO.B.68.G.A.2HSG-CO.B.8

14 questions

# Congruent Parts, Part 2

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##### 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 ﻿$FED$﻿.

True or false? Write below.

2) ﻿$PZJM \cong LYXB$﻿

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

True or false? Write below.

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

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

True or false? Write below.

4) ﻿$ABCDE \cong PQRST$﻿

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

True or false? Write below.
##### Which Triangles Are Congruent?

Here are three triangles.

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

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 ﻿$CDB$﻿?

True or false? Write below.

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 ﻿$NM$﻿?

True or false? Write below.

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 ﻿$ZYW$﻿?

True or false? Write below.

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