Question

which pairs of figures are congruent? which pairs are similar? congruent? yes no similar? yes no congruent? yes no similar? yes no congruent? yes no similar? yes no congruent? yes no similar? yes no

Explanation:

Step1: Recall definitions

Congruent figures have same shape and size. Similar figures have same shape but not necessarily same size.

Step2: Analyze first - pair

The first pair has a large square and a small square. They have same shape (both squares) but different sizes. So they are similar but not congruent.

Step3: Analyze second - pair

The second pair has two right - angled triangles. They have same shape (right - angled triangles) but different sizes. So they are similar but not congruent.

Step4: Analyze third - pair

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

Step5: Analyze fourth - pair

The fourth pair has an ellipse and a circle. They have different shapes. So they are neither congruent nor similar.

Answer:

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