Question

which objects are congruent? for any congruent objects, describe a composition of rigid motions that maps the preimage to the image. choose the correct answer below. a. b≅c. a horizontal translation maps object b to object c. b. b≅c. a reflection over a horizontal line maps object b to object c. c. a≅c. a reflection over a vertical line maps object a to object c. d. a≅b. a vertical translation maps object a to object b.

Explanation:

Step1: Analyze translations

Translation is a rigid - motion that slides an object. Comparing objects A and B, we can see that a vertical translation maps object A to object B as they have the same orientation and B is just vertically shifted from A.

Step2: Analyze reflections

Reflection is a flip over a line. Comparing objects B and C, we see that a reflection over a horizontal line maps object B to object C as they are mirror - images with respect to a horizontal line.

Answer:

A. A horizontal translation maps object B to object C.
B. B≅C. A reflection over a horizontal line maps object B to object C.
C. A≅C. A reflection over a vertical line does not map object A to object C.
D. A≅B. A vertical translation maps object A to object B.

The correct answer is D. A≅B. A vertical translation maps object A to object B.