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AssignmentMultiple Select

Congruent Figures

Question 2 • CA-Common Core Geometry DVHS Sem. 2

Which combinations of transformations will always produce congruent figures? Check all that apply.a dilation, followed by a rotationa reflection, followed by a dilationa rotation, followed by a translationa translation, then a rotation, followed by a stretcha translation, followed by two reflections

Answer
A
a dilation, followed by a rotation
B
a reflection, followed by a dilation
C
a rotation, followed by a translation
D
a translation, then a rotation, followed by a stretch
E
a translation, followed by two reflections

Explanation

Rotations, translations, and reflections preserve distances and therefore preserve congruence. So a rotation followed by a translation always produces a congruent figure, and a translation followed by two reflections does too. A dilation or stretch can change a figure’s size, so combinations that include one do not always preserve congruence.

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