Question

Reflect the point P[1 2] through the line y = 0​

Answer 1

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There are at least two ways of doing so.

Method 1

The line y = 3 is parallel to x-axis.

Let the required image is P′

By common sense, we know

(Distance between the line y = 3 and point P) = (Distance between line y= 3 and point P′)

Since line joining PP′ is perpendicular to y = 3, the x- coordinates of P′ will remain 1. The y coordinate must be 4 because the distance between line and P is equal to 3 - 2 = 1).

Reflected point P′ should also be 1 unit away from the line making y-coordinate (3 + 1 = 4).

Required point = P′ = (1,4)

Answer 2

Reflect the point P[1 2] through the line y = 0​ is (-1,2)