Question

the point A (5 ,- 1)on reflection in the x-axis is mapped onto A'.Also A on reflection in the y-axis is mapped onto A". Write the distance between the images A'and A"​

Answer 1

Answer:

the distance between A andA" is √85

Step-by-step explanation:

Reflection of point(5,-1) in x axis

A(5,1)

and I n y axis A"(-5,-1)

the distance between A andA"

=√(-4-5)^2+(-1-1)^2

=√(-9)^2+(-2)^2

√81+4

=√85

Answer 2

Given :

Point A(5,-1)

To find :

The distance between the points A¹ and A¹¹

Solution :

Reflection of the point (5,-1) in X-axis is (5,1)

Reflection of the point (5,-1) in Y-axis is (-5,-1)

Distance betwen two points A¹ and A¹¹

       =√(-4-5)²+(-1-1)²

       =√(-9)²+(-2)²

       =√81+4

       =√85

The distance between the points is √85 cm