Question

(G.4B) is statement 2 the inverse, converse, or contrapositive of statement 1?

Statement 1: If two lines are perpendicular, then they form right angles.
Statement 2: If two lines form right angles, then they are perpendicular.
A) Converse
B) Counterexample
C) Inverse
D) Contrapositive

Answer 1

A) Converse

Statement 2 is the converse of Statement 1 because it swaps the hypothesis and conclusion of Statement 1.

Step-by-step explanation:

Is statement 2 the inverse, converse, or contrapositive of statement 1? Statement 1: If two lines are perpendicular, then they form right angles. Statement 2: If two lines form right angles, then they are perpendicular.

The given statement 2 is converse of statement 1. The converse of a conditional statement swaps the hypothesis and the conclusion of the original statement. So, the converse of 'If two lines are perpendicular, then they form right angles' is 'If two lines form right angles, then they are perpendicular', which is statement 2.

Thus, the correct answer to the question is A) Converse.