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Standard X
Mathematics
Co-ordinate Axes
If Figure A i...
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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