Dilations Answers

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Line segment XY is dilated to create line segment X'Y' using point T as the center of dilation.

Question illustration
A
3 units
B
6 units
C
12 units
D
15 units
2
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Line segment AB is dilated to create line segment A'B' using point Q as the center of dilation.

Question illustration
A
1
B
1.25
C
2
D
2.5
3

Dilation was performed on a rectangle. How does the image relate to the pre-image? Select three options.

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A
The image is a reduction because 0 < n < 1.
B
The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.
C
The angles of the image are two-fifths the size of the angles of the pre-image.
D
The center of dilation is at point Q.
E
The base of the image is two-fifths the size of the base of the pre-image.
4

Rectangle WXYZ was dilated using the rule .

Question illustration
A
8 units
B
10 units
C
12 units
D
14 units
5

Point Q is the center of dilation. Rectangle H I J K is dilated to create rectangle H prime I prime J prime K prime. The length of H prime I prime is 32 inches. The length of I prime J prime is 24 inches.

Question illustration
A
3 × 8
B
6 × 8
C
12 × 16
D
18 × 24
6

Line segment QR is dilated to create line segment Q'R' using the dilation rule DT,1.5.

Question illustration
A
3 units
B
4 units
C
6 units
D
9 units
7

Line segment AB was dilated to create line segment A'B' using the dilation rule DQ,0.15.

Question illustration
A
2.4 units
B
4.8 units
C
13.6 units
D
14.4 units
8

Triangle JKL was dilated using the rule . The image, triangle J'K'L', is the result of the dilation.

Question illustration
A
5 units
B
7.5 units
C
10 units
D
12.5 units
9

The perimeter of ΔABC is 13 cm. It was dilated to create ΔA'B'C'.

Question illustration
A
13 cm
B
26 cm
C
39 cm
D
52 cm
10

Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. The length of A A prime is 16.

Question illustration
A
One-fifth
Option A
B
One-fourth
Option B
C
4
D
5

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