Home
Class 10
MATHS
Point A (4,-1) is reflected as A' in the...

Point A (4,-1) is reflected as A' in the y - axis . Point B on reflection in the x - axis is mapped as B' (-2,5) . Write the co- ordinates of A' and B.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, let's analyze the reflections of points A and B. ### Step 1: Reflect Point A in the Y-axis Point A has coordinates (4, -1). When a point is reflected in the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. **Calculation:** - Original coordinates of A: (4, -1) - Reflected coordinates A' in the y-axis: (-4, -1) ### Step 2: Identify the Coordinates of A' From the reflection, we find that the coordinates of A' are (-4, -1). ### Step 3: Understand the Reflection of Point B Point B is reflected in the x-axis to give us B'. The coordinates of B' are given as (-2, 5). When a point is reflected in the x-axis, the y-coordinate changes its sign while the x-coordinate remains the same. **Calculation:** - Reflected coordinates B' (given): (-2, 5) - To find the original coordinates of B, we change the sign of the y-coordinate of B': - Original coordinates of B: (-2, -5) ### Step 4: Write the Coordinates of B From the reflection, we find that the coordinates of B are (-2, -5). ### Final Answer - Coordinates of A': (-4, -1) - Coordinates of B: (-2, -5) ---
Promotional Banner

Similar Questions

Explore conceptually related problems

The point A(4, 6) is first reflected in the origin to point A'. Point A' is then reflected in the y-axis to point A". Write down the co-ordinates of A"

A point P is reflected in the x-axis. Co-ordinates of its image are (-4, 5). Find the co-ordinates of P.

The point P(3, 4) is reflected to P' in the x-axis, and O' is the image of O (the origin) when reflected in the line PP'. Write : the co-ordinates of P' and O',

The point A(-3, 2) is reflected in the x-axis to the point A'. Point A' is then reflected in the origin to point A". Write down the co-ordinates of A".

A point P is reflected in the x - axis . Co - ordinates of its image are (8,-6). Find the co - ordinates of P.

A' is the image of A(2,3) when reflected in the x-axis. Write down the co-ordinates of A' .

B' is the image of B(3,2) when reflected in the y-axis . Write down the co-ordinates of B' .

Point P (a, b) is reflected in the x-axis to P' (5,-2). Write down the values of a and b.

The point (-2, 0) on reflection in a line is mapped to (2, 0) and the point (5, -6) on reflection in the same line is mapped to (-5, -6). State the co-ordinates of the image of (-8,-5) in the mirror line.

The point (-5,0) on reflection in a line is mappped as (5,0) and the point (-2,-6) on reflection in the same line is mapped as (2,-6) (a) Name the line of reflection. (b) Write the co-ordinates of the image of (5,-8) in the line obtained in (a).