Question

that you have learned to complete these problems.
is a rotation of figure c.
corresponding line segment of
each given line segment of
responding line segment
3 does figure b appear to
be a rigid transformation
of figure a? use parallel
sides to explain your
reasoning.
solution

Explanation:

Step1: Recall Rigid Transformations

Rigid transformations (translation, rotation, reflection) preserve side lengths and angles, and parallelism of sides.

Step2: Analyze Figure A and B

Check parallel sides. In figure A, the vertical sides (left and right of the top rectangle) are parallel. In figure B, corresponding sides: the sides that were vertical in A (after translation) remain parallel. A translation is a rigid transformation. So, figure B is a rigid (translation) of A, and parallel sides are preserved.

Answer:

Yes, figure B appears to be a rigid transformation (translation) of figure A. Rigid transformations preserve parallelism, so the parallel sides of A remain parallel in B. For example, the vertical - like sides (or other parallel sides) in A have corresponding parallel sides in B as translation doesn't change the direction or parallelism of sides.