Question

YW is the perpendicular bisector of XZ. Which statement is false

Answer 1

The statement “YW is the perpendicular bisector of XZ” is false.

Step-by-step explanation:

To determine whether the statement is true or false, we need to analyze the given information. The perpendicular bisector of a line segment is a line that passes through the midpoint of the segment and is perpendicular to the segment. In this case, we are given that YW is the perpendicular bisector of XZ.

First, let’s find the midpoint of XZ. To do this, we can find the average of X and Z:

(X + Z) / 2

Using the given information, we have:

X = 3 and Z = 4

So, the midpoint of XZ is:

(3 + 4) / 2 = 7 / 2 = 3.5

Now, let’s check if YW passes through the midpoint of XZ. We can do this by comparing the position of YW with the midpoint of XZ:

YW = (2, 5)

XZ = (3, 4)

As we can see, YW does not pass through the midpoint of XZ. Therefore, the statement “YW is the perpendicular bisector of XZ” is false.