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WorksheetsMaths Ch.9 Symmetry Transformations
Total questions: 25
Worksheet time: 17mins
The rule for reflection over the y-axis is
(x, y) --> _
(-x, y)
(x, -y)
(y, x)
(-y, x)
Point (-5,2) is reflected over the y-axis. Where is the new point located?
(5,2)
(-5,-2)
(-5,2)
(5,-2)
How many axes of symmetry does this shape have?
1
2
4
6
How many of these shapes have EXACTLY ONE axis of symmetry?
0
3
6
9
A(–2, 1) is translated to the right by 3 units and then translated upwards by 2 units to A1. Find the coordinates of A1
(1, 3)
(1, –1)
(0, 4)
(3, 2)
Which of the following is true about points P(a, b) and Q(–a, b)?
P is the image of Q when Q is reflected about the x-axis.
Q is the image of P when P is reflected about the y-axis.
P is the image of Q when Q is rotated anti-clockwise about the origin through 90°.
Q is the image of P when P is rotated clockwise about the origin through 180°.
S(–2, 6) is first translated upwards by 2 units, and then rotated clockwise about the origin through 90° to W. Find the coordinates of W.
(2, –8)
(–2, –8)
(–6, 0)
(8, 2)
What order of rotation and angle of rotation does the picture have?
order = 0, 360⁰
order = 1, 360⁰
order = 2, 180⁰
order = 3, 120⁰
T(–a, b) is rotated clockwise about the origin through 270° to T'. Find the coordinates of T'.
(b, a)
(b, a)
(–b, a)
(–b, –a)
A(–2, –3) is first reflected about the y-axis to P, then P is rotated anti-clockwise about the origin through 90° to Q. Find the coordinates of P and Q.
P(–2, 3), Q(–3, –2)
P(2, –3), Q(3, 2)
P(–3, 2), Q(–3, –2)
P(–3, 2), Q(3, 2)
A(3, –9) is rotated anti-clockwise about the origin through 180° to A'. Find the coordinates of A'.
(–3, –9)
(–3, 9)
(3, 9)
(9, –3)
If N(5, –8) is reflected about line L to M(5, –1), then L is a line
passing through (5, –3.5).
passing through (5, 0).
perpendicular to the x-axis.
passing through the origin.
Which of the following is true about points P(a, b) and Q(–a, b)?
P is the image of Q when Q is reflected about the x-axis.
Q is the image of P when P is reflected about the y-axis.
P is the image of Q when Q is rotated anti-clockwise about the origin through 90°.
Q is the image of P when P is rotated clockwise about the origin through 180°.
P(a, b) is rotated anti-clockwise about the origin O through 180° to Q(c, d). Which of the following is/are true?
I. OP = OQ
II. a = –c
III. b = d
I only
II only
III only
I and II only
