Question

The point P(5, 5) is first reflected in the line y = 0 and then in y-axis to get the point Q. The co-ordinates of point Q are ______.

Options

• (5, 5)

• (−5, 5)

• (5, −5)

• (−5, −5)

Answer 1

The point P(5, 5) is first reflected in the line y = 0 and then in y-axis to get the point Q. The co-ordinates of point Q are (5, 5).

Explanation:

Given,

The point P(5, 5) is first reflected in line y = 0 and then in x-axis to get the point Q.

We know that,

Equation of x-axis is y = 0.

Thus, we can say that,

Point P is first reflected in x-axis and then again in x-axis to get point Q.

We know that,

On reflecting in x-axis the sign of y co-ordinate changes.

Let on first reflection in x-axis point P becomes P'.

P(5, 5) = P'(5, −5)

On second reflection in x-axis point P' becomes Q.

P'(5, −5) = Q(5, 5)