Question

the diagram was constructed with straightedge and compass tools. points a, b, c, d, and e are all on line segment cd. name a line segment that is half the length of cd. explain how you know.

Explanation:

Step1: Recall mid - point property

A mid - point of a line segment divides the line segment into two equal parts.

Step2: Identify mid - point

Point B is the mid - point of line segment CD. By the definition of a mid - point, a line segment from one of the endpoints of CD to its mid - point (such as BC or BD) is half the length of CD.

Answer:

BC or BD. We know this because B is the mid - point of CD, and a mid - point divides a line segment into two congruent (equal - length) parts.