AnswersCommon Core Math 8 - MA3108 B-ICDilations in the Coordinate Plane

Dilations in the Coordinate Plane Answers

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6

What is the scale factor of a triangle with a vertex of A(–6, 4) that has been dilated with a center of dilation at the origin so the vertex of its image is (–24, 16)?

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7

What is true about the dilation?

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A
It has a scale factor between zero and one and is a reduction.
B
It has a scale factor greater than one and is a reduction.
C
It has a scale factor between zero and one and is an enlargement.
D
It has a scale factor greater than one and is an enlargement.
8

Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point , has coordinates of (7.2, 3.6). What is the scale factor of the dilation and what are the coordinates of point ?

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A
The scale factor is 1.2 and the coordinates of point are (–2.5, 2.5).
Option A
B
The scale factor is and the coordinates of point are (–2.5, 2.5).
Option B
C
The scale factor is 1.2 and the coordinates of point are (–3.6, 3.6).
Option C
D
The scale factor is and the coordinates of point are (–3.6, 3.6).
Option D
9

A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Select 3 options.

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A
The coordinates of are (0.75, 0.5).
Option A
B
The coordinates of are (1.5, 1).
Option B
C
The scale factor is .
Option C
D
The scale factor is 8.
E
The scale factor is .
Option E
F
The scale factor is 4.
G
The coordinates of are (–0.25, 1).
Option G
H
The coordinates of are (–0.5, 2).
Option H

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