Reflecting shapes

The Maths Habit Handout to print

Why is this word written back to front on the front of an ambulance?

AMBULANCE

So drivers ahead read it the right way round in their mirrors.

Mirror line
The line a shape is reflected in. Each point ends up the same distance away on the other side.

Where does P end up?

P (3, 2) reflected in the y-axis (−3, 2)

Where does P end up?

P (3, 2) reflected in the x-axis (3, −2)

Which way does the line go?

x = 2 Up and down

Reflect A in the line x = −1. P′ (−3, 1)

−5−4−3−2−11234123450APBP′

Reflect A in the line y = −1. P′ (−4, −3)

−5−4−3−2−11−5−4−3−2−112340APBP′

Reflect A in the line x = −1. P′ (−3, 1)

−5−4−3−2−11234123450APBP′

Reflect A in the line y = x. P′ (3, 2)

1234561234560APBP′

Reflect A in the line x = −1. P′ (−3, 1)

−5−4−3−2−11234123450APBP′

Reflect A in the line y = 4. P′ (4, 3)

1234561234560APBP′

Reflect A in the line x = −1. P′ (−3, 1)

−5−4−3−2−11234123450APBP′

Reflect A in the line x = 4. P′ (5, 1)

1234567123450APBP′

Reflect A in the line x = −1. P′ (−3, 1)

−5−4−3−2−11234123450APBP′

Reflect A in the line y = x. P′ (1, 3)

1234561234560APBP′

Reflecting shapes worksheet, page 1

Answer sheet

  1. P (3, 4) is reflected to P′ (3, −2). What is the mirror line?

    y = 1

  2. A shape is reflected in the y-axis, then in the y-axis again. Where does it end up?

    Where it started

  1. P (5, −2) is reflected in the x axis. Write the coordinates of its image.

    (5, 2)

  2. Reflect shape A in the line x = 4. (Draw it on your ticket.)

    A1234567801234

  3. P (4, 1) is reflected to P′ (4, 7). Find the equation of the mirror line.

    y = 4
Exit tickets to print