Question

Draw a number line and label the points accordingly. Points W.X, Y. and Z are located at -5, -2, 1 and 4 respectively. Tell whether each pair of segments are congruent 16. XY and ZW 17. ZX and WY 18.YZ and YX

Answer 1

The given points are

W = -5

X = -2

Y = 1

Z = 4

We will plot them on the number line

Let us find the distance of the given segments

XY = 1 - (-2) = 1 + 2 = 3 units

ZW = 4 - (-5) = 4 + 5 = 9 units

16.

Since XY = 3 and ZW = 9, then

XY and ZW are not congruent segments

ZX = 4 - (-2) = 4 + 2 = 6 units

WY = 1- (-5) = 1 + 5) = 6

17. Since ZX = WY = 6 units, then

ZX and WY are congruent segments

YZ = 4 - 1 = 3 units

YX = 1 - (-2) = 1 + 2 = 3 units

18.

Since YZ = YX = 3 units, then

YZ and YX are congruent segments