Math

QuestionIdentify the contrapositive: If two figures are similar, then all corresponding angles are equal.

Studdy Solution

STEP 1

Assumptions1. We understand the definition of contrapositive in logic.. The contrapositive of a statement of the form "If then Q" is "If not Q then not".

STEP 2

The given statement is "If two figures are similar, then all corresponding angles have the same measure". We can denote this as "If then Q", where is "two figures are similar" and Q is "all corresponding angles have the same measure".

STEP 3

To find the contrapositive of the given statement, we need to negate both and Q and reverse their order. So, the contrapositive will be "If not Q then not".

STEP 4

Substitute the negations of and Q back into the contrapositive statement.Not is "two figures aren't similar" and not Q is "all corresponding angles of two figures don't have the same measure".So, the contrapositive of the given statement is "If all corresponding angles of two figures don't have the same measure, then they aren't similar".
The correct answer is "If all corresponding angles of two figures don't have the same measure, then they aren't similar".

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