Question

Given: Y is the midpoint of XZ Prove: XY = 1/2 XZ Statements Reasons

Answer 1

Answer:

The proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.

Step-by-step explanation:

We proceed to present the demonstration of the following proposition:

If Y is the midpoint of XZ, then XY = 1/2 XZ.

1) Y is the midpoint of XZ. Given.

2) $XY + YZ = XZ$ Definition of line segment.

3) $XY = YZ$ By 1)

4) $2\cdot XY = XZ$ 3) in 2)

5) $XY = \frac{1}{2}\cdot XZ$ Algebra/Result

Therefore, the proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.