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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 definitions
Congruent figures have same shape and size. Similar figures have same shape but not necessarily same size.
Step2: Analyze first pair (squares)
The two squares have different sizes. So they are similar (same shape - square) but not congruent.
Step3: Analyze second pair (triangles)
The two triangles have different sizes and shapes. So they are neither congruent nor similar.
Step4: Analyze third pair (circles)
The two circles have the same shape and size. So they are both congruent and 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.
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First pair: Congruent? No, Similar? Yes
Second pair: Congruent? No, Similar? No
Third pair: Congruent? Yes, Similar? Yes
Fourth pair: Congruent? No, Similar? Yes