Translations

Question 1

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

Revolt · Accepted Answer

C: (x, y) → (x + 4, y – 3)

Question 2

Question 2

Revolt · Accepted Answer

107506

Question 3

Which rule describes the translation?

Revolt · Accepted Answer

C: (x, y) → (x + 8, y – 3)

Question 4

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

Revolt · Accepted Answer

A: (0.4, –1.7)

Question 5

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?

Revolt · Accepted Answer

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

Question 6

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

Revolt · Accepted Answer

C: No, the image does not have the same orientation.

Question 7

Randy draws triangle ABC on the coordinate plane with vertices A(7, –4), B(10, 3), and C(6, 1). He then translates the figure so the coordinates of the image are A′(5, 1), B′(8, 8), and C′(4, 6). What rule did he use to draw the image?

Revolt · Accepted Answer

B: T–2, 5(x, y)

Question 8

Triangle ABC is translated to image A′B′C′. In this translation, A(5, 1) maps to A′(6, –2). The coordinates of B′ are(–1, 0). What are the coordinates of B? B(, )

Revolt · Accepted Answer

Part 1: -2; Part 2: 3

Question 9

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?

Revolt · Accepted Answer

A: [Image: On a coordinate plane, a trapezoid has points A (n...]

Question 10

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.

Revolt · Accepted 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.

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