Question

The reflection of the point (−7, −6) in y-axis is …………….​

Answer 1

Answer:

(-7,6)

Step-by-step explanation:

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Answer 2

Answer:

The answer is (4,7) because when we reflect a point over y-axis then x coordinate becomes negative of x coordinate and y axis remains same.

What is the reflection of the point (1, 2) in the line y = 3?

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)

Method 2

The line y = 3 bisects the line joining P and P′.

The midpoint of th

Let A = (6,2), and let B be the reflection of A over the line y = 1/2 (x) + 5. What are the coordinates of B?

Since the line joining A and B is perpendicular to the line(mirror) and intersects it at the point P with AP=BP.

∴