Question

look at the diagram and evaluate. which of the statements below is false?
answer
w is the midpoint of vx
wx > xy
wy < vx
wx = xy

Explanation:

To solve this, we first determine the positions of points: \( V = 8 \), \( W = 14 \), \( X = 20 \), \( Y = 23 \).

Step 1: Check \( W \) as midpoint of \( VX \)

Midpoint of \( VX \): \( \frac{V + X}{2} = \frac{8 + 20}{2} = 14 \), which is \( W \). So this is true.

Step 2: Calculate \( WX \) and \( XY \)

\( WX = X - W = 20 - 14 = 6 \)
\( XY = Y - X = 23 - 20 = 3 \)

Step 3: Evaluate \( WX > XY \)

Since \( 6 > 3 \), \( WX > XY \) is true.

Step 4: Evaluate \( WY < VX \)

\( WY = Y - W = 23 - 14 = 9 \)
\( VX = X - V = 20 - 8 = 12 \)
Since \( 9 < 12 \), \( WY < VX \) is true.

Step 5: Evaluate \( WX = XY \)

\( WX = 6 \), \( XY = 3 \). \( 6
eq 3 \), so \( WX = XY \) is false.

Answer:

\( \boldsymbol{WX = XY} \) (the statement "WX = XY" is false)