Mixed transformations: describe

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  1. P (−3, 4) is reflected in the line y = 1. Write the coordinates of its image.

    (−3, −2)

  2. P (2, 5) is rotated 90° anticlockwise about (0, 0). Write the coordinates of its image.

    (−5, 2)

  3. P (−1, −4) is translated by 53. Write the coordinates of its image.

    (4, −1)

Talk a friend from the door to your seat without pointing. What must you tell them?

Which way to go, how far, and where and which way to turn

Reflection
Give the mirror line.
Rotation
Give the angle, the direction and the centre.
Translation
Give the vector.
Enlargement
Give the scale factor and the centre.

What is the mirror line?

−3−2−112345−112340AB x = 1

What is the vector?

−1123456−3−2−11230AB 3−2

What is the angle of rotation?

−4−3−2−11234−3−2−11230AB 180°

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

−3−2−112345−112340AB

Describe fully the transformation from A to B. Rotation 90° anticlockwise, centre (0, 0)

−3−2−11234−112340AB

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

−3−2−112345−112340AB

Describe fully the transformation from A to B. Translation −32

−3−2−11234−2−112340AB

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

−3−2−112345−112340AB

Describe fully the transformation from A to B. Rotation 180°, centre (0, 0)

−4−3−2−11234−3−2−11230AB

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

−3−2−112345−112340AB

Describe fully the transformation from A to B. Enlargement, scale factor 2, centre (−1, 0)

−1123456−11234560AB

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

−3−2−112345−112340AB

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

−2−112345−1123450AB

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

    The x-axis

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

    The y-axis

  3. P (2, 3) goes to P′ (5, 1). Write the translation vector.

    3−2

  4. P (2, 3) goes to P′ (−2, −3) by a rotation about (0, 0). What is the angle?

    180°

  5. P (2, 3) goes to P′ (6, 9) by an enlargement, centre (0, 0). What is the scale factor?

    3

Mixed transformations: describe worksheet, page 1

Answer sheet

  1. A reflection takes P (1, 4) to P′ (7, 4). What is the mirror line?

    x = 4

  2. P (2, 5) is reflected in the x-axis, then in the y-axis. Describe the single transformation.

    Rotation 180°, (0, 0)

  3. A triangle has corners (2, 1), (4, 1) and (2, 2). Its image has corners (4, 2), (8, 2) and (4, 4). Describe fully the single transformation.

    Enlargement, SF 2, (0, 0)

  1. Describe fully the transformation from A to B.

    Translation by −4−1
    AB

  2. A rotation about (0, 0) maps P (3, 1) to P′ (−1, 3). Describe the rotation fully.

    90° anticlockwise, centre (0, 0)

  3. A triangle has corners (1, 1), (2, 1) and (1, 3). Its image has corners (3, 3), (6, 3) and (3, 9). Describe fully the single transformation.

    Enlargement, scale factor 3, centre (0, 0)
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