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

reflect across the y-axis; rotate 180° counterclockwise about the origin

reflect across the x-axis; rotate 270° counterclockwise about the origin

reflect across the y-axis; rotate 90° counterclockwise about the origin

rotate 90° counterclockwise about the origin; rotate 270° counterclockwise about the origin

Which angle of rotation is determined by the matrix below?

30°

60°

120°

300°

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

Option

Which sequence of steps would transform v to v’?

reflect across the x-axis; rotate180° counterclockwise about the origin

reflect across the y-axis; rotate 90° counterclockwise about the origin

reflect across the line y = –x; rotate 90° counterclockwise about the origin

reflect across the line y = x; rotate 180° counterclockwise about the origin

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

Option

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

Option

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

( –1, 2)

(–4, 2)

(–1, 7)

(2, –4)

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

rotate 180° counterclockwise about the origin

reflect across the line y = x

reflect across the line y = –x

rotate 270° counterclockwise about the origin

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

Option

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

( –2, 4)

(2, 4)

(4, 2)

( –4, –2)

Vector Multiplication Using Matrices Answers

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