AnswersSRC 2022 MJ Grade 8 Pre-Algebra Q1Congruence and Transformations

Dilations in the Coordinate Plane Answers

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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 ?

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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
2
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The rectangle is the image after a dilation with the center of dilation at the origin of rectangle ABCD. The pre-image of , point A, has coordinates of (–4, 3.2). What is the scale factor of the dilation and what are the coordinates of point C?

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A
The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8).
B
The scale factor is 0.4 and the coordinates of point C are (–2.4, –0.8).
C
The scale factor is 2.5 and the coordinates of point C are (–15, 5).
D
The scale factor is 0.4 and the coordinates of point C are (–15, 5).
3

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
4

Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1?

Question illustration
A
On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1).
Option A
B
On a coordinate plane, a rectangle has points (0, 0), (0, 4), (8, 4), (8, 0).
Option B
C
On a coordinate plane, a rectangle has points (0, 0), (0, 1), (4, 1), (4, 0).
Option C
D
On a coordinate plane, a rectangle has points (0, 0), (0, 2), (8, 2), (8, 0).
Option D
5

Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1?

Question illustration
A
On a coordinate plane, a trapezoid has points (0, 0), (1, 3), (2, 3), (3, 0).
Option A
B
On a coordinate plane, a trapezoid has points (0, 0), (1.5, 6), (4.5, 6), (6, 0).
Option B
C
On a coordinate plane, a trapezoid has points (0, 0), (2, 9), (5, 9), (6.5, 0).
Option C
D
On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).
Option D
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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