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Grade 7 · Math · Unit 13 of 16

Coordinates & Transformations

Plot, slide, flip and turn

What your child practises

Reading and plotting points in all four quadrants, and describing translations, reflections, 180° rotations and combinations of them.

Nunavut Curriculum approved guide: Alberta Mathematics K–9 (2007), Shape and Space · plotting points in four quadrants and transforming shapes

How we explain it

Children can open this short lesson before they practise.

  1. A point is (x, y). Go across for x, then up or down for y.
  2. A translation adds or subtracts from x and y.
  3. A reflection in the x-axis changes the sign of y.

Example: Move the point (2, 3) right 4 and down 1. Where does it land? Right 4: x = 2 + 4 = 6. Down 1: y = 3 − 1 = 2. Answer: (6, 2)

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Rectangle ABCD has vertices A(-3, 1), B(3, 1), C(3, -5) and D(-3, -5). What is its area?

    -6-6-5-5-4-4-3-3-2-2-1-100112233445566ABCD

    answer boxsq. units

  2. Question 2

    What are the coordinates of point A?

    -6-6-5-5-4-4-3-3-2-2-1-100112233445566A
    • (2, 3)
    • (3, 2)
    • (3, -2)
    • (-3, 2)

  3. Question 3

    Point A(1, 5) is translated 2 units left and 4 units up. What is the x-coordinate of its image, A′?

    answer box

  4. Question 4

    How many units apart are A(-1, -2) and B(5, -2)?

    -6-6-5-5-4-4-3-3-2-2-1-100112233445566AB

    answer boxunits

  5. Question 5

    Where is the point (-8, 5)?

    • Quadrant I
    • Quadrant II
    • Quadrant III
    • Quadrant IV

  6. Question 6

    Point P(1, -3) is translated 1 unit right and 2 units down. What are the coordinates of its image, P′?

    -6-6-5-5-4-4-3-3-2-2-1-100112233445566P
    • (2, -1)
    • (0, -1)
    • (2, -5)
    • (-1, -2)

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