Mixed transformations: perform

The Maths Habit Handout to print

Name something that slides, something that turns and something that flips.

A drawer slides, a door turns, a pancake flips

Reflection
A flip in a mirror line.
Rotation
A turn about a point.
Translation
A slide: every point moves the same way.
Enlargement
A change of size from a centre.

Which transformation?

AB Reflection

Which transformation?

AB Translation

Which transformation?

AB Rotation

Reflect A in the line x = 1. P′ (−2, 1)

−3−2−112345−112340APBP′

Rotate A 90° clockwise about (0, 0). P′ (1, −3)

−2−11234−4−3−2−11230APBP′

Reflect A in the line x = 1. P′ (−2, 1)

−3−2−112345−112340APBP′

Translate A by −42. P′ (−1, −2)

−4−3−2−11234−5−4−3−2−1120APBP′

Reflect A in the line x = 1. P′ (−2, 1)

−3−2−112345−112340APBP′

Rotate A 90° anticlockwise about (0, 0). P′ (−1, 1)

−3−2−11234−112340AB

Reflect A in the line x = 1. P′ (−2, 1)

−3−2−112345−112340APBP′

Reflect A in the line y = −1. P′ (1, −2)

−112345−4−3−2−1120AB

Reflect A in the line x = 1. P′ (−2, 1)

−3−2−112345−112340APBP′

Translate A by 4−4. P′ (1, −3)

−4−3−2−11234−4−3−2−11230AB

Mixed transformations: perform worksheet, page 1

Answer sheet

  1. R (−1, 6) is reflected in the line y = 2. Where does it land?

    4 above y = 2, so 4 below: (−1, −2)

  2. A shape is rotated 90° clockwise about (0, 0), then 90° clockwise again. Describe the single rotation.

    180° about (0, 0)

  1. P (2, 5) is reflected in the line y = 3. Write the coordinates of its image.

    (2, 1)

  2. Rotate shape A 90° clockwise about (0, 0). (Draw it on your ticket.)

    A1234−4−3−2−11234

  3. Kai translates (3, 1) by −24 and gets (5, −3). What has he done wrong? Write the right answer.

    Subtracted: (1, 5)
Exit tickets to print