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Question
Write the truth value (T/F) of the following statement:
Any two similar figures are congruent.
True or False
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Solution
This statement is false.
Explanation:
Similar figures have the same shape but not necessarily the same size; congruent figures have the same shape and the same size. So two similar figures need not be congruent they are congruent only when the similarity ratio = 1.
Example: A square of side 2 and a square of side 3 are similar but not congruent.
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