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