Question

The diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the

other.

Explain why segments AC, CB, BD, and AD are all the same length.
BIVA-AI EX * E 12pt
Paragraph

Answer 1

Explanation:

From the picture attached,

Two circles having centers A and B intersect each other at C and D.

We do a construction by joining points A and B to form a line segments AB.

From circle A,

AC ≅ AB ≅ AD [Radii of the circle A]

From circle B,

BC ≅ AB ≅ BD [Radii of the circle B]

Therefore, AC ≅ AD ≅ BC ≅ BD ≅ AB.

These segments of the quadrilateral are equal in measure.