Describing reflections

The Maths Habit Handout to print

  1. P (4, 3) is reflected in the x-axis. Write the coordinates of P′.

    (4, −3)

  2. P (−2, 5) is reflected in the line x = 1. Write the coordinates of P′.

    (4, 5)

  3. P (3, −1) is reflected in the line y = 2. Write the coordinates of P′.

    (3, 5)

Hold up your right hand to a mirror.
Which hand does your reflection seem to hold up?

Its left hand. Argue it out: has the mirror swapped left and right, or front and back?

Reflection

The mirror line

What is the mirror line?

−4−224240AB The y-axis

What is the mirror line?

−112345−3−2−1123450AB y = 1

Describe fully the transformation from A to B. Reflection in x = −1

−5−4−3−2−11234123450AB

Describe fully the transformation from A to B. Reflection in the x-axis

−5−4−3−2−11−4−3−2−112340AB

Describe fully the transformation from A to B. Reflection in x = −1

−5−4−3−2−11234123450AB

Describe fully the transformation from A to B. Reflection in y = x

1234561234560AB

Describe fully the transformation from A to B. Reflection in x = −1

−5−4−3−2−11234123450AB

Describe fully the transformation from A to B. Reflection in y = −1

12345−4−3−2−1120AB

Describe fully the transformation from A to B. Reflection in x = −1

−5−4−3−2−11234123450AB

Describe fully the transformation from A to B. Reflection in the y-axis

−4−3−2−11234123450AB

Describe fully the transformation from A to B. Reflection in x = −1

−5−4−3−2−11234123450AB

Describe fully the transformation from A to B. Reflection in x = 3

123456123450AB

Describing reflections worksheet, page 1

Answer sheet

  1. A (1, 2) is reflected to A′ (−3, 2). B is (0, 5). Where does the same reflection send B?

    (−2, 5)

  2. Which mirror line sends every point (a, b) to (b, a)?

    y = x

  1. P (4, −1) is reflected to P′ (4, 5). Find the equation of the mirror line.

    y = 2

  2. Describe fully the transformation from A to B.

    Reflection in x = 5
    AB12345678901234

  3. A reflection maps (1, 3) to (7, 3). Where does the same reflection map (6, 5)?

    (2, 5)
Exit tickets to print