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QUESTION IMAGE

congruent? yes no similar? yes no congruent? yes no similar? yes no con…

Question

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 congruent and similar 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 different side - length ratios. So they are neither congruent nor similar.
Congruent? No; Similar? No

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

The two L - shaped figures have different orientations and sizes, and the ratios of their corresponding sides are not equal. So they are neither congruent nor similar.
Congruent? No; Similar? No

Step4: Analyze third - pair (triangles)

The two triangles have the same shape (right - angled triangles) but different sizes. They are similar (by AA similarity as the angles are equal) but not congruent.
Congruent? No; Similar? Yes

Step5: Analyze fourth - pair (circle and ellipse)

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

Answer:

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