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Maths · Grade 6 · Set A
All Four Corners
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A
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Remember: The signs of a pair tell its corner. A mirror changes the signs.

Name the places

1
Which pair names point A? Say across first, then up.
(3, 2)(2, −3)(−3, 2)(−3, −2)
2
What is the y-number of point B?
3
Point P is at (−3, −2). Which corner is it in?
Quadrant 1, top rightQuadrant 2, top leftQuadrant 3, bottom leftQuadrant 4, bottom right
4
The point (2, −3) is in the top right corner.
TrueFalse
5
Join each point to the corner it is in.
  1. 1(3, 4)
  2. 2(−3, 4)
  3. 3(−3, −4)
  4. 4(3, −4)
  • Abottom right
  • Btop right
  • Ctop left
  • Dbottom left
6
Which graph shows the point (−2, 3)?
Graph 1
Graph 2
Graph 3
7
A mirror lies along the x-axis. Which point is the mirror image of A?
Point PPoint QPoint R
8
Point A is at (−5, 2). Its mirror image across the y-axis is at (, 2). What is the new x-number?
9
Which mirror turns A into B?
The x-axisThe y-axisBoth axes
10
Point A is at (3, −2). Which point is its mirror image across both axes?
(3, 2)(−3, −2)(−3, 2)
11
Number the steps to find where (−3, 2) goes.
  • Start at the origin, (0, 0)
  • Go 2 steps up, because y is 2
  • Mark the point
  • Go 3 steps left, because x is −3
12
In a pair (x, y), x tells how far across and y tells how far up.
TrueFalse
13
A is at (2, 3) and B is at (2, −3). How many units apart are they?
14
Write a pair that is in the bottom left corner. Tell how you know which corner it is in.
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Answer key · Set A
All Four Corners
1(−3, 2) A is 3 steps left of the y-axis, so x is −3, and 2 steps up, so y is 2.
2-2 B is 2 steps below the x-axis, so its y-number is −2.
3Quadrant 3, bottom left Both numbers are negative: left of the y-axis and below the x-axis, the bottom left corner.
4False The x-number is positive, so it is to the right. The y-number is negative, so it is below. That is the bottom right.
51-B, 2-C, 3-D, 4-A The signs tell the corner. Positive x is right, negative x is left, positive y is up and negative y is down.
6Graph 1 Across first: 2 steps left. Then up: 3 steps.
7Point Q The x-axis mirror swaps up and down: x stays −3 and y changes from 1 to −1. That is Q.
85 A mirror across the y-axis swaps left and right, so x changes sign. The y-number stays 2.
9The x-axis A and B have the same x-number, −2. Only y changes sign, so the x-axis is the mirror.
10(−3, 2) Mirroring across both axes changes both signs: (3, −2) becomes (−3, 2).
111, 3, 4, 2 Across first, then up.
12True The first number is across and the second is up.
136 They are on the same vertical line. From 3 down to 0 is 3 and from 0 to −3 is 3 more: 3 + 3 = 6.
14Your own words: a grown-up reads it.
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