Question

Use the diagram. AB is a diameter and AB perpendicular to CD. The figure is not drawn to scale. Which statement is NOT true?

Answer 1

A. The arc length AC is not congruent to arc BD.

Answer 2

arc AC is congruent to arc BD

Explanation:

By drawing the perpendicular CD we get some congruent triangles, first we have ΔACP = ΔADP.

Thus, since these two triangles are congruent, we have that their sides and angles are congruent.

So, AC = AD

But we also got the congruent triangles ΔCPB and ΔDPB, where we will have congruent angles and sides:

So, ∠PBC = ∠DBP = ∠DBA

Finally, we get the congruent triangles ΔABC and ΔABD where ∠BDA = ∠ACB

Thus the statement which is not true is that arc AC is congruent to arc BD