AnswersMFISD GEOMETRY A 22-23 CRTest

Dilations Answers

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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
22
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Which statements justify that the dilation of triangle STU is an enlargement increasing its size by the magnitude of the scale factor? Select two options.

A
The triangle pre-image is closer to the point of dilation than the image.
B
The triangle image is closer to the point of dilation than the pre-image.
C
The value of the scale factor, , is between 0 and 1.
Option C
D
The value of the scale factor, 6, is greater than 1.
E
The vertices of the pre-image are collinear with the vertices of the image.
23

To verify that the transformation is a dilation, Jeremy should also check which of the following? Select three options.

A
QB = QE
Option A
B
QC = CF
C
DE = 2AB
D
AC = EF
Option D
E
if BC = 2.25, then EF = 2.25
24

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
25

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
26

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

Question illustration
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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