Question

Hippalectryon

Points U, V, and W are plotted on a number line. The coordinate of point V is –2. Points U and W are the same distance from point V.

What could be the coordinates of U and W?

A.
U = –11, W = 7

B.
U = –8, W = –6

C.
U = –6, W = 6

D.
U = 0, W = 2

Answer 1

D. 0, 2 0 is 2 away for -2 2 is 4 away from -2
C -6, 6 -6 is 4 away from -2 6 is 8 away from -2
You have to find out which two points are the same distance from -2.

Answer 2

Checking answer A:
distance from U to V = -2-(-11)=9
distance from U to W =7-(-2)=9 -> same distance !

checking answer B:
distance U-V : -2-(-8)=6
U-W : -2-(-6)=4 -> not the same distance

answer C :
U-V : -2-(-6)=4
U-W : 6-(-2)=8 -> not the same distance

answer D :
U-V : 0-(-2)=2
U-W : 2-(-2)=4 -> not the same distance

Conclusion : answer A