6
QuizMultiple Choice

Geometric Foundations, Construction and Proofs: Part One — Test

Question 6 • Geometry: Concepts and Connections

Which reason justifies the statement that angle KLC is complementary to angle KJC ?

Answer
A
Angles that are congruent are supplementary to the same angle.
B
Complementary angles are always also congruent.
C
All angles in a rectangle are right angles.
D
Angles that are congruent are complementary to the same angle.

Explanation

If ∠KLC and ∠KJC are each complementary to the same angle, then each adds with that angle to make 90°. Therefore they are congruent to each other, and the relevant reason is that angles congruent to the same angle are complementary to that same angle. Choice D states this reason; choice A incorrectly says they are supplementary.

AI-written and checked against the verified answer.

Previous
Next