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Question
congruent? yes no similar? yes no (repeated for four sets of shapes)
Step1: Recall congruence and similarity definitions
Congruent figures have same shape and size. Similar figures have same shape.
Step2: Analyze first - pair (L - shaped figures)
The two L - shaped figures are of different sizes, so they are not congruent. But they have the same shape, so they are similar.
Step3: Analyze second - pair (circles)
The two circles have the same size and shape, so they are congruent. Since congruent figures are also similar, they are similar.
Step4: Analyze third - pair (triangles)
The two triangles have different side - lengths, so they are not congruent. But they have the same angle measures (assuming they are right - angled triangles with the same angle ratios), so they are similar.
Step5: Analyze fourth - pair (rectangles)
The two rectangles have different side - length ratios, so they are not similar. Also, they are not of the same size, so they are not congruent.
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First pair: Congruent? No, Similar? Yes
Second pair: Congruent? Yes, Similar? Yes
Third pair: Congruent? No, Similar? Yes
Fourth pair: Congruent? No, Similar? No