Dilations Answers

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Dilation was performed on a rectangle. How does the image relate to the pre-image? Select three options.The image is a reduction because 0 < n < 1.The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.The angles of the image are two-fifths the size of the angles of the pre-image.The center of dilation is at point Q.The base of the image is two-fifths the size of the base of the pre-image.

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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.
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Rectangle WXYZ was dilated using the rule .

Question illustration
A
8 units
B
10 units
C
12 units
D
14 units
3

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
4

Triangle QRS was dilated using the dilation rule DP,4.

Question illustration
A
6 units
B
9 units
C
12 units
D
15 units
5

Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.

Question illustration
A
1.5 units
B
3 units
C
4.5 units
D
6 units
6

Rectangle WXYZ was dilated to create W'X'Y'Z'.

Question illustration
A
0.5 units
B
1.2 units
C
1.5 units
D
1.8 units
7

Triangle TUV was dilated to create triangle T'U'V' using point A as the center of dilation.

Question illustration
A
Two-fifths
Option A
B
Two-thirds
Option B
C
Three-halves
Option C
D
Eight-fifths
Option D
8

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
9

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
10

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

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