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Question


If Figure A is translated 5 units right and 2 units down, which figure will be the correct final representation of Figure A?

A
Figure B
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B
Figure C
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C
Figure D
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D
All the figures are correct
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Solution

The correct option is A Figure B
Original image is Figure A.

The coordinates of the figure are:

On translating the figure by 5 units right, we see:

So, the coordinates are written as:
Original coordinate Changed coordinate
(0,2) (5,2)
(-2,0) (3,0)
(2,0) (7,0)

Now on translating the last obtained figure 2 units down, we get:

So, the final coordinates are written as:
Original coordinate Final coordinate
(0,2) (5,0)
(-2,0) (3,-2)
(2,0) (7,-2)

We observe that the coordinates of Figure B only matches with the final coordinates.

So, Option (A) is correct.

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