Question

Hello Please Answer This

Answer 1

The following statements must be true based on the diagram:

1. XU is a segment bisector.
2. X is the vertex of a right angle.
3. X is the midpoint of a segment in the diagram.

Here is an explanation of each statement:

XU is a segment bisector. This means that XU divides segment VW into two segments of equal length. This is true because the diagram shows that XU is perpendicular to VW and passes through the midpoint of VW.

X is the vertex of a right angle. This means that angle VUX is a right angle. This is true because the diagram shows that XU is perpendicular to VW.

X is the midpoint of a segment in the diagram. This means that X divides segment VW into two segments of equal length. This is true because XU is a segment bisector.

The other statements are not necessarily true. For example, U is not necessarily the vertex of a right angle. If angle WUX were not a right angle, then U would not be the vertex of a right angle.