Translations Answers

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1
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A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation?

A
(x, y) → (x + 3, y – 4)
B
(x, y) → (x + 3, y + 4)
C
(x, y) → (x + 4, y – 3)
D
(x, y) → (x + 4, y + 3)
2
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(–3.6, 9.3)✔ (2.4, 9.3) (14.6, –1.7) (16.4, 1.3)

A
(–3.6, 9.3)
B
(2.4, 9.3)
C
(14.6, –1.7)
D
(16.4, 1.3)
3

(–3.4, –1.7) (–4.6, 7.3) (–9.4, –1.7)✔ (–10.6, 7.3)

A
(–3.4, –1.7)
B
(–4.6, 7.3)
C
(–9.4, –1.7)
D
(–10.6, 7.3)
5

Which rule describes the translation?

A
(x, y) → (x – 8, y – 3)
B
(x, y) → (x – 3, y + 8)
C
(x, y) → (x + 8, y – 3)
D
(x, y) → (x + 3, y + 8)
6

✔ (0.4, –1.7)(1.4, -2.3) (12.6, –13.3) (15.4, –10.7)

A
(0.4, –1.7)
B
(1.4, -2.3)
C
(12.6, –13.3)
D
(15.4, –10.7)
7

A graphic designer wants to translate rectangle DEFG using T–1, 2(x, y). The pre-image has coordinates D(–1, 3),E(4, 3), F(4, 1), and G(–1, 1). What is the image of DEFG?

A
[Image: On a coordinate plane, a rectangle has points D pr...]
Option A
B
[Image: On a coordinate plane, a rectangle has points D pr...]
Option B
C
[Image: On a coordinate plane, a rectangle has points D pr...]
Option C
D
[Image: On a coordinate plane, a rectangle has points D pr...]
Option D
8

Li transformed rectangle ABCD. The image is shown. Does Li’s transformation represent a translation?

A
Yes, the image represents a translation.
B
No, the image does not have the same size.
C
No, the image does not have the same orientation.
D
No, the image does not have the same shape.
10

The image of trapezoid ABCD has coordinates A′(–2, –5), B′(–1, –2), C′(2, –2), and D′(3, –5). It was translated by the rule T–1, –3(x, y). Which diagram shows the pre-image?

A
[Image: On a coordinate plane, a trapezoid has points A (n...]
Option A
B
[Image: On a coordinate plane, a trapezoid has points A (n...]
Option B
C
[Image: On a coordinate plane, a trapezoid has points A (n...]
Option C
D
[Image: On a coordinate plane, a trapezoid has points A (0...]
Option D
11

You are given the coordinates of a triangle and coordinates for only one of the vertices of its image under a translation. Explain how to translate the entire triangle.

Answer:

Translations move every point on a figure the same distance and direction. You can use the one vertex and its image to find the rule that maps the triangle to its image. This rule can then be used to find the images of the other vertices of the triangle. Plot the vertices and connect them to form the image of the triangle.

13

What did you include in your response? Check all that apply.

A
Translations move every point the same distance and direction.
B
Use the given image to determine the translation rule.
C
Plot the remaining vertices using the rule.
14

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