Question

1. here is a diagram of a straightedge and compass construction. c is the center of one circle, and b is the center of the other. which segment has the same length as segment ca? (lesson 1 - 1) a. ba b. bd c. cb d. ad

Explanation:

Step1: Recall circle - radius property

In a circle, all radii are equal. Segment $CA$ is a radius of the circle with center $C$.

Step2: Identify equal - length segments

The segment $CB$ is also a radius of the circle with center $C$, and segments $BA$ and $BD$ are radii of the circle with center $B$. Since $CA$ is a radius of the circle centered at $C$, and $CB$ is also a radius of the circle centered at $C$, we have $CA = CB$.

Answer:

C. $CB$