Question

They are congruent, because A'B'C'D' is obtained by translating ABCD up by 4 units and then reflecting it about the y-axis.

Which transformation(s) make A'B'C'D' congruent to ABCD?
a) Translation and reflection
b) Rotation and reflection
c) Reflection only
d) Translation and rotation

Answer 1

The transformations that make A'B'C'D' congruent to ABCD are translation and reflection.

Step-by-step explanation:

The transformations that make A'B'C'D' congruent to ABCD are translation and reflection.

A translation is a transformation that moves each point of a figure the same distance in the same direction. In this case, ABCD is translated up by 4 units to obtain A'B'C'D'.

A reflection is a transformation that flips a figure over a line, in this case, the y-axis. By reflecting ABCD about the y-axis, we obtain A'B'C'D', making the two figures congruent.