# 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.

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

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Intersecting Lines | What Are Intersecting Lines? | Definition

Jun 14, 24 11:00 AM

Two lines that cross each other at a particular point are called intersecting lines. The point where two lines cross is called the point of intersection. In the given figure AB and CD intersect each o…

2. ### Line-Segment, Ray and Line | Definition of in Line-segment | Symbol

Jun 14, 24 10:41 AM

Definition of in Line-segment, ray and line geometry: A line segment is a fixed part of a line. It has two end points. It is named by the end points. In the figure given below end points are A and B…

3. ### Definition of Points, Lines and Shapes in Geometry | Types & Examples

Jun 14, 24 09:45 AM

Definition of points, lines and shapes in geometry: Point: A point is the fundamental element of geometry. If we put the tip of a pencil on a paper and press it lightly,

4. ### Subtracting Integers | Subtraction of Integers |Fundamental Operations

Jun 13, 24 04:32 PM

Subtracting integers is the second operations on integers, among the four fundamental operations on integers. Change the sign of the integer to be subtracted and then add.