The Trapezoid ABCD, shown in the above figure, is reflected over the y-axis to $A^{'} B^{'} C^{'} D^{'}$ , find the co-ordinates of $D^{'}$ .

(- 12, 1)

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(- 12, - 1)

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(12, - 1)

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(1, - 12)

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Solution

The correct option is A $(- 12, 1)$
The graph is symmetric(reflection) w.r.t to the $y$ -axis i.e. $x = 0$ , If $(x, y)$ is a point on the graph ,then $(- x, y)$ is also a point on the graph .

given point $D$ $(12, 1)$
from the above concept ,co-ordinates of $D^{^{'}}$ is $(- 12, 1)$ .

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The Trapezoid ABCD, shown in the above figure, is reflected over the y-axis to A′B′C′D′, find the co-ordinates of D′.

The correct option is A (−12,1)The graph is symmetric(reflection) w.r.t to the y-axis i.e. x=0 , If (x,y) is a point on the graph ,then (−x,y) is also a point on the graph .given point D (12,1)from the above concept ,co-ordinates of D′ is (−12,1).

The Trapezoid ABCD, shown in the above figure, is reflected over the y-axis to $A^{'} B^{'} C^{'} D^{'}$ , find the co-ordinates of $D^{'}$ .

The correct option is A $(- 12, 1)$
The graph is symmetric(reflection) w.r.t to the $y$ -axis i.e. $x = 0$ , If $(x, y)$ is a point on the graph ,then $(- x, y)$ is also a point on the graph .

given point $D$ $(12, 1)$
from the above concept ,co-ordinates of $D^{^{'}}$ is $(- 12, 1)$ .