AnswersNC-Math 4 CRVector Multiplication Using Matrices

Vector Multiplication Using Matrices Answers

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The graph below shows the transformation from triangle 1 to triangle 2.Which sequence of steps would transform triangle 1 to triangle 2?

Question illustration
A
reflect across the y-axis; rotate 180° counterclockwise about the origin
B
reflect across the x-axis; rotate 270° counterclockwise about the origin
C
reflect across the y-axis; rotate 90° counterclockwise about the origin
D
rotate 90° counterclockwise about the origin; rotate 270° counterclockwise about the origin
2
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Which angle of rotation is determined by the matrix below?

Question illustration
A
30°
B
60°
C
120°
D
300°
3

Which transformation matrix would result in a 270° counterclockwise rotation about the origin?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Which sequence of steps would transform v to v’?

Question illustration
A
reflect across the x-axis; rotate180° counterclockwise about the origin
B
reflect across the y-axis; rotate 90° counterclockwise about the origin
C
reflect across the line y = –x; rotate 90° counterclockwise about the origin
D
reflect across the line y = x; rotate 180° counterclockwise about the origin
5

Which transformation matrix would result in a 300° counterclockwise rotation about the origin?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

The diagram below shows vector v. Given transformation matrix , which diagram shows the application of T to v?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Triangle ABC is shown below. Which point is the coordinate of the image of A under the transformation ?

Question illustration
A
( –1, 2)
B
(–4, 2)
C
(–1, 7)
D
(2, –4)
8

The transformation T = is applied the figure below. What type of transformation of triangle ABC was applied by T?

Question illustration
A
rotate 180° counterclockwise about the origin
B
reflect across the line y = x
C
reflect across the line y = –x
D
rotate 270° counterclockwise about the origin
9

The diagram below shows vector v.. If is a transformation matrix, which expression correctly applies T to v?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Triangle ABC is shown below.Which point is the coordinate of the image of A under the transformation ?

Question illustration
A
( –2, 4)
B
(2, 4)
C
(4, 2)
D
( –4, –2)

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