Question

Which figures can be circumscribed by a circle? Select all that apply.

Answer 1

B and D

Explanation:

figures which can be circumscribed by a circle are called cyclic quadrilaterals.

the opposite angles of a cyclic quadrilateral sum to 180°

A

∠ B + ∠ D = 82° + 56° = 138° ≠ 180° ← not cyclic

B

∠ B + ∠ D = 103° + 77° = 180° and ∠ A + ∠ C = 90° + 90° = 180° ← cyclic

C

∠ B + ∠ D = 112° + 90° = 202° ≠ 180° ← not cyclic

D

∠ B + ∠ D = 90° + 90° = 180° and ∠ A + ∠ C = 90° + 90° = 180°← cyclic

Then B and D can be circumscribed by a circle

Answer 2

A, B, C, D

Explanation:

They All add up to 360