Worksheet on Reflection in the Origin

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

• Position of a Point in a Plane
• Reflection of a Point in a Line
• Reflection of a Point in the x-axis
• Reflection of a Point in the y-axis
• Reflection of a Point in the Origin
• Reflection of a Point in a Line Parallel to the x-axis
• Reflection of a Point in a Line Parallel to the y-axis
• Problems on Reflection in the x-axis or y-axis
• Invariant Points for Reflection in a Line
• Reflection in Lines Parallel to Axes
• Worksheet on Reflection in the Origin

10th Grade Math

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