58. Triangle OA, B, is the reflection of triangle OAB in origin, where A, (4, -5) is the image
of A and B (-7, 0) is the image of B.
(i) Write down the co-ordinates of A and B and draw a diagram to represent this
to the figure
information.
(1) Give a special name to the quadrilateral ABA,B,. Give reason.
cli
) Find the co-ordinates of Ay, the image of A under reflection in x-axis followed by
(iv) Find the co-ordinates of B2, the image of B under reflection in y-axis followed by
reflection in y-axis.
reflection in origin.
Answers
Given : OA'B' is reflection of OAB in Origin
A' = ( 4 , -5) is the image of A
B' =(-7 , 0) is the image of B
To Find : co-ordinates of A and B and draw a diagram to represent this
to the figure information.
Give a special name to the quadrilateral ABA'B'
Solution:
reflection wrt origin
(x , y) Becomes (-x , - y)
A' = ( 4 , -5) => A = (-4 , 5)
B' =(-7 , 0) => B = ( 7 , 0)
ABA'B' would be a parallelogram
as lines are parallel in reflection.
A = (-4 , 5)
the image of A under reflection in x-axis
( - 4 , - 5)
followed by reflection in y-axis.
= (4 , - 5)
B = ( 7 , 0)
image of B under reflection in y-axis
= (-7 , 0)
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