Question

The point (5, 7) is reflected to P' in x-axis and O' is the image of O (origin) in the line PP'. The co-ordinates of O' are ______.

Options

• (10, 0)

• (0, 10)

• (10, 10)

• (5, 5)

Answer 1

The point (5, 7) is reflected to P' in x-axis and O' is the image of O (origin) in the line PP'. The co-ordinates of O' are (10, 0).

Explanation:

We know that,

On reflection in x-axis, the sign of y-coordinate changes.

P(5, 7) = P'(5, −7)

Steps of construction:

1. Mark point P and P' in the graph.
2. Join the points to form line PP'.
3. From origin (O) draw a straight perpendicular line to PP' and produce. On this line mark a point O' which is at same distance as point O.

From figure,

O' = (10, 0).