Question

The figure below shows a circle with center L diameter RZ and tangents OY and ZQ . Which of the angles must be right angles? Select all apply.

Answer 1

Given:

Diameter of the circle = RZ

Tangents = JY and EQ

Chord = DR

Radius = RL, LZ, OL

Chord = DA, RA

Let's select all the angles that must be right angles.

• The angle formed where a tangent and radius meet is a right angle.

Thus, we have the right angles:

∠LOY

∠LZQ

• When two chords meet at the circumference and one chord is a diameter, then they form right angles.

Therefore, we have the right angle:

∠LRD

Therefore, the angles that must be right angles are:

∠LZQ

∠LOY

∠LRD

ANSWER:

• ∠LZQ

,

• ∠LOY

,

• ∠LRD