Question

9. The point A(3, 4) is mapped onto A' on reflection in the line L, parallel to the x-axis and at a
distance 2 on the positive side of the y-axis. A' is mapped onto A" on reflection in the line L2,
parallel to the y-axis and at a distance 2 on the negative side of the x-axis. Find the distance
between A and A".​

Answer 1

Given : The point A(3, 4) is mapped onto A' on reflection in the line L, parallel to the x-axis and at a  distance 2 on the positive side of the y-axis. A' is mapped onto A" on reflection in the line L2,  parallel to the y-axis and at a distance 2 on the negative side of the x-axis

To Find : the distance  between A and A"

Solution:

Line L  || to x axis and at a distance 2 on positive side of y axis

=> Line L   is   y = 2

A = ( 3 , 4 )

A'  - x coordinate  will remain unaffected

and Y coordinate will be at   2 + ( 2 - 4)  =  0  

A' = ( 3 , 0)

L2   || to the y-axis and at a distance 2 on the negative side of the x-axis.

=> L2  is x = - 2

A' = ( 3 , 0)

y coordinate remain unaffected

x coordinate will be at   - 2  + ( - 2 - 3)   =   - 7

=> A'' = ( - 7 , 0 )  

A = ( 3 , 4 )  

A'' = ( - 7 , 0 )  

Distance  = √(-7 - 3)² + (0 - 4)² = √100 + 16  = √116

= 2√29

Learn More:

7. The image of the point (1,5) when reflected in a lineLM is (9,5 ...

https://brainly.in/question/21007879

'A' (a) Image in a plane mirror (b) Regular reflection

https://brainly.in/question/4718907

Answer 2

Step-by-step explanation:

Here's the explanation