Compositions of Transformations

9.4 Compositions of Transformations

Multiple Choice

The coordinates of quadrilateral ABCD before and after a rotation about the origin are shown in the table. Find the angle of rotation.

• 90° clockwise

• 90° counterclockwise

• 60° clockwise

• 45° clockwise

Multiple Choice

The coordinates of triangle XYZ before and after a rotation about the origin are shown in the table. Find the angle of rotation.

• 180° clockwise

• 270° clockwise

• 90° clockwise

• 90° counterclockwise

Multiple Choice

• A

• B

• C

• D

Multiple Choice

The point (–2, 4) was rotated about the origin so that its new coordinates are (–4, –2). What was the angle of rotation?

• 180° clockwise

• 120° counterclockwise

• 90° counterclockwise

• 60° counterclockwise

Multiple Choice

Quadrilateral RSTU has vertices R(1, –1), S(4, –2), T(3, –4), and U(1, –3). Graph RSTU and its image after a translation along 〈–4, 1〉 and a reflection in the x-axis. Which point is located at (–3, 0)?

• R'

• S'

• T'

• U'

Multiple Choice

ΔJKL has vertices J(2, 3), K(5, 2), and L(3, 0). Graph ΔTUV and its image after a translation along 〈3, 1〉 and a rotation 180° about the origin. What are the new coordinates of L''?

• (–3, –1)

• (–6, –1)

• (1, 6)

• (–1, –6)

Multiple Choice

Copy and reflect figure ABC in line s and then line t. Then describe a single transformation that maps ABC onto A''B''C''.

• ABC is reflected across lines and translated down 2 inches.

• ABC is translated down 2 inches onto A''B''C''.

• ABC is translated down 2 inches and reflected across line t.

• ABC is translated down 4 inches onto A''B''C''.

Multiple Choice

What transformation must occur to the brick at point M to further complete the pattern shown here?

• The brick must be rotated 180° counterclockwise about point M.

• The brick must be translated one brick width right of point M.

• The brick must be rotated 90° counterclockwise about point M.

• The brick must be rotated 360° counterclockwise about point M.

Multiple Choice

What transformation must occur to the brick at point M to further complete the pattern shown here?

• The two bricks must be translated one brick length to the right of

  point M.

• The two bricks must be translated one brick length down from point M.

• The two bricks must be rotated 180° counterclockwise about point M.

• The two bricks must be rotated 90° counterclockwise about point M.