Question

which of the following is true about the figure below?
a 13 m b
a. segment ab = 13 b. segment bisector is point b c. mb = 26 d. ab = 26

Explanation:

Step1: Understand segment - bisector concept

Point M is the mid - point of segment AB, and AM = 13.

Step2: Use mid - point property

Since M is the mid - point of AB, AB=2×AM.
AB = 2×13=26.

Step3: Analyze each option

• Option a: Segment AB = 13 is wrong as AB = 26.
• Option b: Point B is not a segment bisector of AB. A segment bisector divides a segment into two equal parts, and B is an endpoint.
• Option c: MB = AM = 13, not 26.
• Option d: AB = 26 is correct.

Answer:

d. AB = 26