Question

1. choose the best answer. which statement is the contrapositive of the conditional statement: if two figures have the same shape and size, then they are congruent. two figures are congruent if, and only if, they have the same shape and size. if two figures are congruent, then they have the same shape and size. if two figures are not congruent, then they do not have the same shape and size. if two figures do not have the same shape and size, then they are not congruent.

Explanation:

To find the contrapositive of a conditional statement \( p \to q \) (where \( p \) is "two figures have the same shape and size" and \( q \) is "they are congruent"), we use the rule: the contrapositive of \( p \to q \) is \(
eg q \to
eg p \).

• \(

eg q \) means "two figures are not congruent".

• \(

eg p \) means "two figures do not have the same shape and size".

So the contrapositive should be "If two figures are not congruent, then they do not have the same shape and size."

Answer:

The option: If two figures are not congruent, then they do not have the same shape and size.