Question

which pairs of figures are congruent? which pairs are similar?

Explanation:

Step1: Recall definitions

Congruent figures have same shape and size. Similar figures have same shape, different size.

Step2: Analyze first pair (rectangle and square)

Different shapes (one is rectangle, one is square). So, congruent? No. Similar? No.

Step3: Analyze second pair (L - shaped figures)

Same shape, different sizes. Congruent? No. Similar? Yes.

Step4: Analyze third pair (triangles)

Different shapes (one is right - angled with different side ratios). Congruent? No. Similar? No.

Step5: Analyze fourth pair (circles)

Same shape (circles). Congruent? Yes (same size as per figure). Similar? Yes (all circles are similar).

Answer:

First pair: Congruent? No, Similar? No.
Second pair: Congruent? No, Similar? Yes.
Third pair: Congruent? No, Similar? No.
Fourth pair: Congruent? Yes, Similar? Yes.