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Maths · Grade 6 · Set C
Bigger Plane, Bigger Mirrors
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C
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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
What is the x-number of point A?
2
What is the y-number of point B?
3
Which pair names point C?
(−3, −6)(−6, −3)(6, 3)(−6, 3)
4
A point has a positive x-number and a negative y-number. Which corner is it in?
Quadrant 1, top rightQuadrant 2, top leftQuadrant 3, bottom leftQuadrant 4, bottom right
5
Circle every point in the bottom right corner (Quadrant 4).
(−4, −4)(6, −2)(−1, 8)(1, −9)(9, 3)
6
Point A is at (−7, 4). Its mirror image across the y-axis is at (, 4). What is the new x-number?
7
The triangle is in the top right corner. Which graph shows its mirror image across the y-axis?
Graph 1
Graph 2
Graph 3
8
Point A is at (−6, 9). Which point is its mirror image across both axes?
(6, 9)(−6, −9)(6, −9)
9
Which mirror turns A into B?
The y-axisThe x-axisBoth axes
10
Mirror (−3, 2) across the x-axis and then across the y-axis. It lands at (3, −2).
TrueFalse
11
P is at (−6, 2) and Q is at (4, 2). How many units apart are they?
12
The rectangle has corners at (−4, 3), (2, 3), (2, −1) and (−4, −1). How many units long is its top side?
13
Pip says (−2, 5) and (2, −5) are mirror images across the x-axis. Write how you know Pip is wrong, and the pair that is the mirror image of (−2, 5) across the x-axis.
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Answer key · Set C
Bigger Plane, Bigger Mirrors
1-5 A is 5 steps left of the y-axis, so its x-number is −5.
2-6 B is 6 steps below the x-axis, so its y-number is −6.
3(−6, −3) C is 6 steps left, so x is −6, and 3 steps down, so y is −3.
4Quadrant 4, bottom right Positive x is to the right and negative y is below. That is the bottom right.
5(6, −2), (1, −9) Bottom right means x is positive and y is negative: (6, −2) and (1, −9).
67 A mirror across the y-axis swaps left and right, so x changes sign. The y-number stays 4.
7Graph 3 The y-axis mirror changes the sign of x only: the corners (1, 1), (4, 1) and (4, 3) become (−1, 1), (−4, 1) and (−4, 3).
8(6, −9) Mirroring across both axes changes both signs: (−6, 9) becomes (6, −9).
9The y-axis A and B have the same y-number, 3. Only x changes sign, so the y-axis is the mirror.
10True The x-axis mirror makes (−3, −2). The y-axis mirror then makes (3, −2).
1110 They are on the same horizontal line. From −6 to 0 is 6 and from 0 to 4 is 4 more: 6 + 4 = 10.
126 The top side goes from x = −4 to x = 2. From −4 to 0 is 4 and from 0 to 2 is 2 more: 4 + 2 = 6.
13Your own words: a grown-up reads it.
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