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For the picture below FG ¯¯¯¯¯¯¯¯¯

is a perpendicular bisector of AB¯¯¯¯¯¯¯¯
. Which points are equidistant from points A and B? Check ALL that apply

(4 points)
Responses

W
W

X
X

Y
Y

Z
Z

P
P

S
S

F
F

G

1 answer

To determine which points are equidistant from points A and B, we need to keep in mind that any point on the perpendicular bisector of a segment (in this case, segment AB) will be equidistant from the endpoints of that segment.

Since FG is the perpendicular bisector of AB, any point on line FG (including points F and G) will be equidistant from points A and B. Assuming W, X, Y, Z, P, S are also marked on the diagram, we would need to see their positions relative to line FG and segment AB to confirm whether they are equidistant.

For a complete analysis, the answers would be:

  1. F - Yes, it is on the perpendicular bisector.
  2. G - Yes, it is on the perpendicular bisector.

The other points (W, X, Y, Z, P, S) would require their specific locations on the diagram to determine if they are on FG. If any of those points lie on line FG, they would also be equidistant from points A and B. If they are off the line, they would not be equidistant.

Thus, without the diagram, you should check points W, X, Y, Z, P, and S based on their positions to see which, if any, are on line FG.