please answer this question
Draw the mirror image of ∆ABC in
(i) x – axis
(ii) y – axis with coordinates
A (1,1) , B ( 4,3) , C (7 , 2).
Answers
SOLUTION
TO DETERMINE
A (1,1) , B ( 4,3) , C (7 , 2).
Draw the mirror image of ∆ABC in
(i) x - axis
(ii) y - axis
CONCEPT TO BE IMPLEMENTED
Mirror image by x - axis
When a point is reflected in x-axis, then the x - coordinate remains unchanged , but the y - coordinate becomes of opposite sign
Mirror image by y - axis
When a point is reflected in y - axis, then the y - coordinate remains unchanged , but the x - coordinate becomes of opposite sign
EVALUATION
Here the given given points are
A (1,1) , B ( 4,3) , C (7 , 2).
(i) Figure : Figure is referred to the attachment named as Figure 1
We first draw a triangle ∆ABC
We know that when a point is reflected in x-axis, then the x - coordinate remains unchanged , but the y - coordinate becomes of opposite sign
By the above argument the mirror image of the points A (1,1) , B ( 4,3) , C (7 , 2) are D (1,- 1) , E ( 4, - 3) , F (7 , - 2).
Hence the mirror image of ∆ABC by x - axis is ∆ DEF
(ii) Figure : Figure is referred to the attachment named as Figure 2
We first draw a triangle ∆ABC
We know that when a point is reflected in y - axis, then the y - coordinate remains unchanged , but the x - coordinate becomes of opposite sign
By the above argument the mirror image of the points A (1,1) , B ( 4,3) , C (7 , 2) are G (- 1, 1) , H ( - 4, 3) , I (- 7 , 2).
Hence the mirror image of ∆ABC by y - axis is ∆ GHI
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