Mathematics
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)
Answer
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)
Hence, Option 1 is the correct option.
Related Questions
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)
State the co-ordinates of the following points under reflection in the line x = 0 :
(i) (-6, 4)
(ii) (0, 5)
(iii) (3, -4)
State the co-ordinates of the following points under reflection in the line y = 0 :
(i) (-3, 0)
(ii) (8, -5)
(iii) (-1, -3)