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Question
initial knowledge check question 8 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 congruence and similarity definitions
Two figures are congruent if they have the same shape and size. Two figures are similar if they have the same shape but not necessarily the same size.
Step2: Analyze top - left pair
The rectangle and the square have different shapes and sizes, so they are neither congruent nor similar.
Step3: Analyze top - right pair
The two triangles have the same shape and size, so they are congruent and since congruent figures are also similar, they are similar.
Step4: Analyze bottom - left pair
The two L - shaped figures have the same shape but different sizes, so they are similar but not congruent.
Step5: Analyze bottom - right pair
The two circles have the same shape and size, so they are congruent and since congruent figures are also similar, they are similar.
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Top - left: Congruent? No, Similar? No
Top - right: Congruent? Yes, Similar? Yes
Bottom - left: Congruent? No, Similar? Yes
Bottom - right: Congruent? Yes, Similar? Yes