Question

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

Explanation:

Step1: Recall congruent - same shape and size

Two figures are congruent if they have the same shape and size.

Step2: Recall similar - same shape

Two figures are similar if they have the same shape but not necessarily the same size.

Step3: Analyze first pair

The first pair has a rectangle and a different - sized rectangle. They are similar (same shape, different sizes) but not congruent.

Step4: Analyze second pair

The second pair has two L - shaped figures. They are congruent (same shape and size) and also similar (since congruent figures are a special case of similar figures).

Step5: Analyze third pair

The third pair has a large circle and a small circle. They are similar (same shape, different sizes) but not congruent.

Step6: Analyze fourth pair

The fourth pair has a triangle and a smaller triangle. They are similar (same shape, different sizes) but not congruent.

Answer:

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