Practice the questions given in the worksheet on reflection in the origin. The reflection of the point P(x, y) in the origin is the point P’(-x, -y).
For example:
(i) the reflection of the point (-10, 5) in the origin is the point (10, -5).
(ii) the reflection of the point (-2, -7) in the origin is the point (2, 7).
(iii) the reflection of the point (3, -4) in the origin is the point (-3, 4).
(iv) the reflection of the point (-6, 0) in the origin is the point (6, 0).
1. State the co-ordinates of the following points under reflection in origin:
(i) (-2, -4)
(ii) (-2, 7)
(iii) (0, 0)
2. Find the points onto which the following points are
mapped on reflection in the origin.
(i) (-5, 4)
(ii) (7, 0)
(iii) (0, -9)
(iv) (p\(^{2}\), q\(^{2}\))
(v) (m + n, m - n)
3. The point P (a, b) is mapped onto P’ (-17, 10) on reflection in the origin. Find the values of a and b.
4. Write down the coordinates of the image of the point (3, -11) when reflected in the origin.
5. The point P (1, 8) is reflected in the origin to get the image P’. Write down the coordinates of P’.
Answers for the worksheet on reflection in the origin are given below.
Answers:
1. (i) (2, 4)
(ii) (2, -7)
(iii) (0, 0)
2. (i) (5, -4)
(ii) (-7, 0)
(iii) (0, 9)
(iv) (-p\(^{2}\), -q\(^{2}\))
(v) (-m - n, -m + n}
3. a = 17, b = -10
4. (-3, 11)
5. (-1, -8)
● Reflection
10th Grade Math
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