Question

5

Rectangle WXYZ is located on the coordinate plane. The coordinates for
three of the vertices are listed below. Rectangle WXYZ is dilated by a scale
factor of 2 with a center of dilation at the origin, to form W'X'Y'Z'. What are
the coordinate of vertex X'? *
W (1,6)
Y (3, 2)
z (1,2)
Explain how you determined your answer.
Your answer

Answer 1

X' = (6 , 12)

Explanation:

Dilation means to stretch or increase with some factor.

We are given the coordinates of rectangle as

W (1,6), Y (3, 2), Z (1,2)

plot this on the Cartesian plane

Coordinate of X is missing

Since the shape is a rectangle so its mid point diagonal intersection point will remain same.

using this the diagonal is

W (1,6) and Y (3,2) are diagonal points

D = (
`(3+1)/(2) , (6+2)/(2)`) = (2, 4)

Coordinate of X will be

X( x,y) and Z (1,2)

X = (
`(x+1)/(2), (y+2)/(2)`) = (2,4)

this will give x= 3 and y = 6

X ( 3,6)

Now Dilating by the scale factor of 2

Coordinate of X' = X( 2x, 2y)

X' = ( 2*3, 2*6)

X' = (6 , 12)