Question

question 1 - 8
a conditional statement is shown.
if two angles are vertical, then the angles are congruent.
which statement is the contrapositive of the conditional statement?
if two angles are not vertical angles, then the angles are congruent.
if two angles are congruent, then the angles are vertical angles.
if two angles are not congruent, then the angles are not vertical angles.
if two angles are not vertical angles, then the angles are not congruent.

Explanation:

Step1: Recall the contrapositive form

The contrapositive of a conditional statement "If \(p\), then \(q\)" is "If not \(q\), then not \(p\)". Let \(p\) be "two angles are vertical" and \(q\) be "the angles are congruent".

Step2: Apply the contrapositive rule

The contrapositive will be "If the angles are not congruent (not \(q\)), then the angles are not vertical (not \(p\))".

Answer:

If two angles are not congruent, then the angles are not vertical angles.