Question

problem 12: spiral review
are figures a and b congruent?
yes no
explain your thinking.

Explanation:

Step1: Recall Congruence Definition

Congruent figures have same shape and size, determined by side lengths and angles.

Step2: Analyze Figure Transformations

Check if Figure A can map to B via translation, rotation, reflection. From grid, A and B have same shape, and B is A rotated (or reflected/translated) preserving size/shape.

Step3: Confirm Size/Shape Match

Both figures have same number of grid units for sides, angles. So they are congruent.

Answer:

Yes (with explanation: Figures A and B have the same shape and size, as one can be transformed (e.g., rotated, reflected, translated) to match the other, satisfying the definition of congruent figures.)