Mathematics
The co-ordinates of the image of the point (-5, -8) when reflected in y-axis followed by the reflection in origin is :
(-5, 8)
(5, -8)
(-5, -8)
(5, 8)
Answer
Given,
Let the point (-5, -8) be P.
We know that,
On reflecting in y-axis the sign of x-co-ordinate changes.
Let on reflection in y-axis, P(-5, -8) becomes P'.
P(-5, -8) ⇒ P'(5, -8).
We know that,
On reflecting in origin the sign of both x and y co-ordinate changes.
Let on reflection in origin, P'(5, -8) becomes P".
P'(5, -8) ⇒ P"(-5, 8).
Hence, Option 1 is the correct option.
Related Questions
The co-ordinates of the point (4, -7) when reflected in the x-axis followed by the reflection in the y-axis is :
(4, -7)
(-4, 7)
(4, 7)
(-4, -7)
The co-ordinates of the image of the point (-6, 9) when reflected in y-axis followed by the reflection in x-axis is :
(-6, 9)
(6, 9)
(-6, -9)
(6, -9)
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)