Dilations in the Coordinate Plane

Question 1

What is true about the dilation?

Revolt · Accepted Answer

It has a scale factor between zero and one and is a reduction.

Question 2

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.

Revolt · Accepted Answer

The coordinates of are (0.75, 0.5).; The scale factor is .; The coordinates of are (–0.25, 1).

Question 3

What is the scale factor in the dilation?

Revolt · Accepted Answer

3

Question 4

Rectangle ABCD is dilated by a scale factor of with a center of dilation at the origin. What are the coordinates of the image of point ?

Revolt · Accepted Answer

(–2, 3)

Question 5

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

Revolt · Accepted Answer

On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1).

Question 6

A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center at the origin. The image of D, point , has coordinates (36, –12). What is the scale factor of the dilation?

Revolt · Accepted Answer

3

Question 7

The image of a triangle after it has been dilated with a center at the origin has vertices at (–12, 6), (6, –18), and . If the pre-image of , point A, has coordinates of (–18, 9) and the pre-image of , point C, has coordinates of (18, 12), which statements are true? Select 3 options.

Revolt · Accepted Answer

The coordinates of are (12, 8).; The scale factor is .; The coordinates of B are (9, –27).

Question 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 ?

Revolt · Accepted Answer

The scale factor is 1.2 and the coordinates of point are (–3.6, 3.6).

Question 9

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

Revolt · Accepted Answer

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Question 10

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?

Revolt · Accepted Answer

The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8).

Dilations in the Coordinate Plane Answers

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