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Maths · Grade 6 · Set B
Across, Up and Over the Mirror
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B
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Goal: 15 min
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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 D? Say across first, then up.
(4, 1)(1, −4)(−1, 4)(−4, 1)
2
What is the x-number of point E?
3
Point K is at (−2, 4). Which corner is it in?
Quadrant 4, bottom rightQuadrant 2, top leftQuadrant 1, top rightQuadrant 3, bottom left
4
The point (−4, 3) is in the bottom left corner.
TrueFalse
5
Join each point to the corner it is in.
  1. 1(−2, 5)
  2. 2(2, 5)
  3. 3(2, −5)
  4. 4(−2, −5)
  • Abottom left
  • Btop left
  • Ctop right
  • Dbottom right
6
Which graph shows the point (3, −2)?
Graph 1
Graph 2
Graph 3
7
A mirror lies along the y-axis. Which point is the mirror image of A?
Point PPoint QPoint R
8
Point A is at (4, −3). Its mirror image across the x-axis is at (4, ). What is the new y-number?
9
Which mirror turns A into B?
The x-axisBoth axesThe y-axis
10
Point A is at (−4, 1). Which point is its mirror image across both axes?
(4, −1)(−4, −1)(4, 1)
11
The point (−3, −5) is in the same corner as (−1, −1).
TrueFalse
12
Number the steps to mark (−2, 5).
  • Put your pencil on the origin, (0, 0)
  • Slide 5 steps up, because y is 5
  • Slide 2 steps left, because x is −2
  • Make a dot and write the pair
13
P is at (−2, 4) and Q is at (−2, −3). How many units apart are they?
14
Write the pair for the mirror image of (5, −2) across the y-axis. Tell how you know.
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Answer key · Set B
Across, Up and Over the Mirror
1(−4, 1) D is 4 steps left of the y-axis, so x is −4, and 1 step up, so y is 1.
2-3 E is 3 steps left of the y-axis, so its x-number is −3.
3Quadrant 2, top left x is negative, so K is left of the y-axis. y is positive, so K is above the x-axis. That is the top left.
4False x is negative, so it is left. y is positive, so it is above. That is the top left corner.
51-B, 2-C, 3-D, 4-A Positive x is right, negative x is left, positive y is up and negative y is down.
6Graph 3 Across first: 3 steps right. Then down: 2 steps.
7Point R The y-axis mirror swaps left and right: y stays 3 and x changes from 2 to −2. That is R.
83 A mirror across the x-axis swaps up and down, so y changes sign. The x-number stays 4.
9The y-axis A and B have the same y-number, 2. Only x changes sign, so the y-axis is the mirror.
10(4, −1) Mirroring across both axes changes both signs: (−4, 1) becomes (4, −1).
11True Both x-numbers are negative and both y-numbers are negative: the bottom left corner.
121, 3, 2, 4 Across first, then up.
137 They are on the same vertical line. From 4 down to 0 is 4 and from 0 to −3 is 3 more: 4 + 3 = 7.
14Your own words: a grown-up reads it.
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