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

Dilations in the Coordinate Plane Answers

10 verified answers
1
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Which graph shows the result of dilating this figure by a factor of 4 about the origin?

Question illustration
A
On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4).
Option A
B
On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2).
Option B
C
On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25).
Option C
D
On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5).
Option D
2
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What is the scale factor in the dilation if the coordinates of are (–7, 6) and the coordinates of are (–4, 3)?

Question illustration
A
One-third
Option A
B
One-half
Option B
C
2
D
3
3

Segment AB is being dilated with the center at the origin. The image of A, point , has coordinates of (3.2, 6.4). What is the scale factor of the dilation and the coordinates of point ?

Question illustration
A
The scale factor is 0.8 and the coordinates of point are (–3.2, –4.8).
Option A
B
The scale factor is 1.25 and the coordinates of point are (–3.2, –4.8).
Option B
C
The scale factor is 0.8 and the coordinates of point are (–5, –7.5).
Option C
D
The scale factor is 1.25 and the coordinates of point are (–5, –7.5).
Option D
4

What are the coordinates of the image of point A after the segment has been dilated by a scale factor of with a center of dilation at the origin?

Question illustration
A
(–2, 1)
B
(1, –2)
C
(Negative one-half, 1)
Option C
D
(1, negative one-half)
Option D
5

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)?

Question illustration
Answer not available
6

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.

Question illustration
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
7

A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point , has the coordinates (2, –3). What is the scale factor of the dilation?

Question illustration
A
StartFraction 1 Over 10 EndFraction
Option A
B
One-fifth
Option B
C
5
D
10
8

What is true about the dilation?

Question illustration
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.
9

Which figure could be the result of dilating this triangle with a scale factor greater than 1?

Question illustration
A
On a coordinate plane, a triangle has points (0, 0), (0, 3), (9, 0).
Option A
B
On a coordinate plane, a triangle has points (0, 0), (0, 1), (6, 0).
Option B
C
On a coordinate plane, a triangle has points (0, 0), (0, 5), (10, 0).
Option C
D
On a coordinate plane, a triangle has points (0, 0), (0, 2), (4, 0).
Option D
10

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 ?

Question illustration
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

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