Question

The point (-5,0) on reflection in a line is mapped 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-ordinate of the image of (5,-8) in the line obtain in (a).​

Answer 1

EXPLANATION.

Point (-5,0) on reflection in a line is mapped as (5,0).

The point (-2,-6) on reflection in the same line is mapped as (2,-6).

As we know that,

Quadrant in the graph.

In first quadrant sign taken as = (+, +).

In second quadrant sign taken as = (-, +).

In third quadrant sign taken as = (-, -).

In fourth quadrant sign taken as = (+, -).

We denotes point as,

⇒ x = abscissa.

⇒ y = ordinates.

Points = (-5,0).

⇒ Abscissa = - 5.

⇒ ordinates = 0.

This point lies in x-axes in negative direction.

Points = (5,0).

⇒ Abscissa = 5.

⇒ ordinates = 0.

This point lies in x-axes in positive direction.

Points = (-2,-6).

⇒ Abscissa = - 2.

⇒ ordinates = - 6.

This point lies in 3rd quadrant.

Points = (2,-6).

⇒ Abscissa = 2.

⇒ ordinates = - 6.

This point lies in 4th quadrant.

(a) = The line of reflection is x = 0.

(b) = Co-ordinates of the image of (5,-8).

Points = (5,-8).

⇒ Abscissa = 5.

⇒ ordinates = - 8.

This point lies in 4th quadrant.

As we can clearly see that,

this point lies on 4th quadrant and line of reflection is about x axes.

We can write new points, we get.

Points = (-5,-8).

⇒ Abscissa = - 5.

⇒ ordinates = - 8.

This point lies in 3rd quadrant.

Answer 2

Answer:

$\huge\color{blue}\boxed{\colorbox{lightgreen}{♧Solution♧}}\bigstar$

(a) We know that reflection in the line x = 0 is the reflection in the y-axis. It is given that: Point (-5, 0) on reflection in a line is mapped as (5, 0).

Point (-2, -6) on reflection in the same line is mapped as (2, -6).

Hence, the line of reflection is x = 0.

(b) It is known that My (x, y) = (-x, y)

Co-ordinates of the image of (5, -8) in the

line x = 0 are (-5,-8)