Question

"Given: Line AB is a diameter of circle O and AC is || to BD

Conclude: Line AC is congruent to BD
This is what I got, can someone please check my work and give me
feedback?

Answer 1

Line AC is congruent to BD because triangle ACB and triangle ADB are congruent by the SAS (Side-Angle-Side) congruence postulate.

Step-by-step explanation:

Given that line AB is a diameter of circle O and that AC is parallel to BD, we can conclude that line AC is congruent to BD.

Since AB is a diameter of the circle, it passes through the center of the circle. This means that triangle ACB and triangle ADB are congruent by the SAS (Side-Angle-Side) congruence postulate.

Since corresponding sides of congruent triangles are congruent, we can conclude that AC is congruent to BD.