Question

1. which figures represent a pair of similar figures? a. a and b b. a and c c. c and d d. b and d

Explanation:

Step1: Recall similarity criteria

Similar figures have proportional side - lengths and equal corresponding angles.

Step2: Analyze side - length ratios

For figure A and C, we can count the grid - units of corresponding sides. The ratio of the side - lengths of figure A to figure C is consistent for all corresponding sides. For example, if we consider the horizontal and vertical segments of the two figures, the ratio of their lengths is the same for all such segments. Also, the angles in both figures are right - angles (for the rectangular - like parts) and the non - right angles are equal due to the similar geometric shapes.

Step3: Check other pairs

For A and B, the shapes are different in structure and side - length ratios are not consistent. For C and D, the shapes are different and side - length ratios are not proportional. For B and D, the shapes are different and side - length ratios are not proportional.

Answer:

B. A and C