Question

Which of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not to scale.)

Answer 1

Q is the midpoint segment in the diagram

Answer 2

The statements that must be true based on the diagram above include;

A. QR is a segment bisector.

E. Q is the midpoint of a segment in the diagram.

In Mathematics and Euclidean Geometry, a segment bisector is a line, line segment, or ray that passes through the midpoint of another line segment and bisects the line into two (2) equal halves or parts.

A midpoint is a point that lies exactly at the middle of two other end points that are located on a straight line segment.

By critically observing the geometric shape, we can reasonably infer and logically deduce the following information;

1. Yes, QR is a segment bisector.
2. No, Q is not the vertex of a pair of congruent angles in the diagram.
3. No, R is not the vertex of a pair of congruent angles in the diagram.
4. No, Q is not the vertex of a right angle.
5. Yes, Q is the midpoint of a segment in the diagram.