Question

identifying similar or congruent shapes on a grid. which pairs of figures are congruent? which pairs are similar? congruent? yes no similar? yes no congruent? yes no similar? yes no

Explanation:

Step1: Recall definitions

Congruent shapes have same size and shape. Similar shapes have same shape but can be different in size.

Step2: Analyze first - pair (circle and ellipse)

A circle and an ellipse have different shapes. So they are neither congruent nor similar.
Congruent? No. Similar? No.

Step3: Analyze second - pair (L - shaped figures)

The two L - shaped figures have the same shape but different sizes. They are similar but not congruent.
Congruent? No. Similar? Yes.

Step4: Analyze third - pair (rectangles)

The two rectangles have the same shape but different sizes. They are similar but not congruent.
Congruent? No. Similar? Yes.

Step5: Analyze fourth - pair (triangles)

The two triangles have the same shape but different sizes. They are similar but not congruent.
Congruent? No. Similar? Yes.

Answer:

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