Rectangle ABCD is dilated to form rectangle A’B’C’D’. What is the dilation factor? What is the center of dilation? Select all that apply.

Question

The figure shows two rectangles UpperWord ABCD and UpperWord A complement, B complement, C complement, and D complement on the coordinate grid. The values on the x-axis range from negative 12 to 6 in increments of 2 and the values on the y-axis range from negative 2 to 16 in increments of 2. The coordinates of the vertices Upper A, Upper B, Upper C, and Upper D are labeled as (negative 11, 14), (negative 5, 14), (negative 5, 10), and (negative 11, 10) respectively. The coordinates of the vertices Upper A complement, Upper B complement, Upper C complement, and Upper D complement are labeled as (negative 5, 8), (negative 2, 8), (negative 2, 6), and (negative 5, 6) respectively.

A.
dilation factor of 2

B.
dilation factor of
1
2
C.
center of dilation
(
1
,

2
)
D.
center of dilation
(
2
,

1
)

Answer 1

compare the lengths of sides. That will give you the dilation factor

Answer 2

when dealing with sets, ' does denote complement.
Usually when describing transformed figures, we just say A-prime, B-prime, etc.

Since AB=6 and A'B'=3, the dilation factor is 1/2
The center of dilation is (1,2) because the vertices of ABCD are twice as far away from (1,2) as are the vertices of A'B'C'D'

Answer 3

... oobleck thx

Answer 4

thank you oobleck :)