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****From Worksheet on Reflection in the Origin to HOME PAGE**

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