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The figure shows the letter Z and four of its transformed images—A, B, C, and D:

Which of the following rules will transform the pre-image of Z in quadrant 2 into its image in quadrant 1?

a.( x , y ) ⟶ ( − y , − x )

b. ( x , y ) ⟶ ( x , − y )

c. ( x , y ) ⟶ ( − x , y )

d. ( x, y ) ⟶ ( - x, -y )

The figure shows the letter Z and four of its transformed images—A, B, C, and D: Which-example-1
User Joocer
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1 Answer

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Given:

The figure shows the letter Z and four of its transformed images—A, B, C, and D.

To find:

Which of the following rules will transform the pre-image of Z in quadrant 2 into its image in quadrant 1?

Solution:

From the figure it is clear that the pre-image of Z in quadrant 2 and its image in quadrant 1 (image A) are the mirror image of each other along the y-axis.

It means the pre-image of Z in quadrant 2 reflected across the y-axis to get the image in quadrant 1.

If a figure reflected across the y-axis, then rule of transformation is


(x,y)\to (-x,y)

So, the rule
(x,y)\to (-x,y) transform the pre-image of Z in quadrant 2 into its image in quadrant 1.

Therefore, the correct option is c.

User Bharathwaaj
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