Question

If two lines are perpendicular, what can be said about the angles they form?

A) They are complementary angles.
B) They are supplementary angles.
C) They are congruent adjacent angles.
D) They are vertical angles.

Answer 1

Perpendicular lines form four right angles at the intersection, meaning that each angle measures 90 degrees. These angles are congruent adjacent angles since they are equal in measure and share a common side. The correct answer is option C

Step-by-step explanation:

If two lines are perpendicular, the angles they form are always 90 degrees. Hence, when two lines intersect and are perpendicular to each other, they create four angles around the point of intersection. Each of these angles is a right angle, which means it measures 90 degrees. Therefore, the angles formed by perpendicular lines are not complementary (adding up to 90 degrees), not supplementary (adding up to 180 degrees), nor vertical angles (non-adjacent angles formed by two intersecting lines). They are in fact, congruent adjacent angles because each angle is 90 degrees, and they share a common side.

So, in the context of this question, the correct answer is C) They are congruent adjacent angles.