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 but not necessarily same size.

Step2: Analyze first - pair (rectangles)

The two rectangles have the same shape but different sizes. So they are similar but not congruent.

Step3: Analyze second - pair (ellipse and circle)

An ellipse and a circle have different shapes. So they are neither congruent nor similar.

Step4: Analyze third - pair (triangles)

The two triangles have different shapes (one is a right - angled triangle and the other is a non - right - angled triangle). So they are neither congruent nor similar.

Step5: Analyze fourth - pair (L - shaped figures)

The two L - shaped figures have the same shape but different sizes. So they are similar but not congruent.

Answer:

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