Question

Figure BROKEN is congruent to figure B'R'O'K'E'N' because figure BROKEN can be mapped to figure B'R'O'K'E'N' using only translations. Do you agree or disagree with this statement? Justify your reasoning.

a) Agree, because translations preserve congruence.
b) Disagree, because rotations are also needed for congruence.
c) Agree, because reflections are not necessary for congruence.
d) Disagree, because scaling is required for congruence.

Answer 1

Agree with the statement since translations maintain the size and shape of the figure, thus preserving congruence without requiring reflections, rotations, or scaling.

Step-by-step explanation:

I agree with the statement because translations preserve congruence. When one figure is translated, or in other words shifted in any direction without being rotated, reflected, or resized, the size and shape of the figure remain unchanged. Thus, the congruency between figure BROKEN and figure B'R'O'K'E'N' is maintained using just translations, as congruent figures have the same size and shape. There's no need for reflections, rotations, or scaling when proving congruence through translation.