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Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.

A
The length AB is 2.
B
The length A'B' is 3.
C
The image is smaller than the pre-image.
D
The scale factor is .
Option D
E
The scale factor is .
Option E
3

The dilation DO,3 (x, y) → (3x, 3y) is performed on the pre-image △ABC to make a similar triangle. Which statements are true? Check all that apply.

A
∠A corresponds to ∠A'.
B
∠A'AC' corresponds to ∠B.
C
CB corresponds to C'A.
D
Segment A'A is parallel to segment C'C.
E
△ABC ~ △A'AC'.
4

The dilation rule DF,3(x, y) is applied to △ABC, where the center of dilation is at F(1, 1).

Answers:
The distance in the x-coordinates from A(–2, 2) to the center of dilation F(1, 1) is unit(s).:3
The distance in the y-coordinates from A(–2, 2) to the center of dilation F(1, 1) is unit(s).:1
The vertex A' of the image is .:(–8, 4)
5

The rule DO,0.25 (x, y) → (0.25x, 0.25y) is applied to the segment LM to make an image of segment L'M', not shown.

Answers:
The coordinates of L' in the image are .:(–1, 2)
The coordinates of M' in the image are .:(1, 2)
The length, L'M', is .:2
The slope of the original segment and dilated segment are .:both zero
6

✔ (1, 2)(1, 8)X (4, 8)

A
✔ (1, 2)
B
(1, 8)
C
X (4, 8)
7

X 0.25✔ 248

A
X 0.25
B
✔ 2
C
4
D
8
8

both 0.25both undefinedX not the same✔ both zero

A
both 0.25
B
both undefined
C
X not the same
D
✔ both zero
9

The dilation rule DF,3(x, y) is applied to △ABC, where the center of dilation is at F(1, 1).

Answers:
The distance in the x-coordinates from A(–2, 2) to the center of dilation F(1, 1) is unit(s).:3
The distance in the y-coordinates from A(–2, 2) to the center of dilation F(1, 1) is unit(s).:1
The vertex A' of the image is .:(–8, 4)
10

–10✔ 1X 2

A
–1
B
0
C
✔ 1
D
X 2
11

✔ (–8, 4)X (–5, 3)(–3, 1)(2, 2)

A
✔ (–8, 4)
B
X (–5, 3)
C
(–3, 1)
D
(2, 2)

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