Mathematics
A point P(-7, 8) is first reflected in the origin and then in x-axis to get the point Q. The co-ordinates of point Q are :
(-7, 8)
(7, 8)
(7, -8)
(-7, -8)
Answer
We know that,
On reflecting in origin the sign of both x and y co-ordinate changes.
Let on reflection in origin P(-7, 8) becomes P'.
P(-7, 8) = P'(7, -8)
We know that,
On reflecting in x-axis the sign of y co-ordinate changes.
According to question,
On reflection in x-axis P'(7, 8) becomes Q.
P'(7, -8) = Q(7, 8).
Hence, Option 2 is the correct option.
Related Questions
A point P is its own image in a line l, then point P is :
on the line l
below the line l
above the line l
none of the above
A point P is reflected first in the y-axis and then in the origin to get the point (6, 6). The co-ordinates of the point P are :
(6, -6)
(-6, -6)
(-6, 6)
(6, 6)
The point P(4, -8) is reflected in the line x = 0 to get the point R. The co-ordinates of point R are :
(4, -8)
(-4, 8)
(4, 8)
(-4, -8)
The point P(5, 5) is first reflected in line y = 0 and then in x-axis to get the point Q. The co-ordinates of point Q are :
(5, 5)
(-5, 5)
(5, -5)
(-5, -5)