Question

In circle H, HJ¯¯¯¯¯ is a radius and JK¯¯¯¯¯ is a tangent segment. Which statement must be true?

A) HJ=JK
B) ∠HJK is an obtuse angle.
C) HJ=HK
D) ∠HJK is a right angle.

Answer 1

<HJK is a right angle

I took the test

Answer 2

The correct answer is D) ∠HJK is a right angle.

The representation of this problem is shown in the figure below. The segment that goes from the center of a circle to a point of it is the radius. For each point this segment strikes radially the circle, so given that in this very point there is a tangent segment, then the conclusion is that ∠HJK must be a right angle.