Mathematics
The point P(-7, 13) is reflected in origin followed by reflection in y-axis. The co-ordinates of the image of point P are :
(7, 13)
(-7, -13)
(7, -13)
(-7, 13)
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, 13) becomes P'.
P(-7, 13) ⇒ P'(7, -13).
We know that,
On reflecting in y-axis, the sign of x co-ordinate changes.
Let on reflection in y-axis, P'(7, -13) becomes P".
P'(7, -13) ⇒ P"(-7, -13).
Hence, Option 2 is the correct option.
Related Questions
The co-ordinates of the image of the point (7, 11) when reflected in x-axis followed by the reflection in origin is :
(-7, 11)
(7, 11)
(-7, -11)
(7, -11)
The point P(-14, -18) is reflected in origin and after that reflected in x-axis. The co-ordinates of the image of point P are :
(-14, -18)
(14, -18)
(-14, 18)
(14, 18)
If the point P(a, b) is reflected in the x-axis to P'(3, -7), then the value of (a - b) is :
10
-10
4
-4
If the point P(a, b) is reflected in the y-axis to P'(-3, -9), then the value of (a + b) is :
-6
6
-15
-12