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similar: congruent: all congruent figures are simil but not vice ver is…

Question

similar:
congruent:
all congruent figures are simil but not vice ver
is the statement all congruent figures are similar true or false?
○ false
○ true

Explanation:

Step1: Recall definitions

Congruent figures have the same shape and size (corresponding angles equal, corresponding sides equal). Similar figures have the same shape (corresponding angles equal, corresponding sides in proportion).

Step2: Analyze congruent to similar

For congruent figures, the ratio of corresponding sides is \(1\) (since sides are equal), so they satisfy the proportionality for similar figures (ratio is constant, \(1\)). Also, corresponding angles are equal (as in congruent figures). So all congruent figures meet the criteria for similar figures.

Answer:

True (the option corresponding to "True" in the multiple - choice, e.g., if the "True" option is the second one with the circle, then the answer is the option with "True" text)