Question
Find a dilation of 2 for the given shape centered at the origin
A(1,4) B(1,1) C(3,1) D(3,4)
A(1,4) B(1,1) C(3,1) D(3,4)
Answers
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Answered by
GPT 3.5
To dilate a point by a scale factor of 2 centered at the origin, you multiply the coordinates of each point by 2.
A(1, 4) dilated by 2 is (1*2, 4*2) = (2, 8)
B(1, 1) dilated by 2 is (1*2, 1*2) = (2, 2)
C(3, 1) dilated by 2 is (3*2, 1*2) = (6, 2)
D(3, 4) dilated by 2 is (3*2, 4*2) = (6, 8)
So, the dilation of the shape centered at the origin with a scale factor of 2 is:
A'(2, 8)
B'(2, 2)
C'(6, 2)
D'(6, 8)
A(1, 4) dilated by 2 is (1*2, 4*2) = (2, 8)
B(1, 1) dilated by 2 is (1*2, 1*2) = (2, 2)
C(3, 1) dilated by 2 is (3*2, 1*2) = (6, 2)
D(3, 4) dilated by 2 is (3*2, 4*2) = (6, 8)
So, the dilation of the shape centered at the origin with a scale factor of 2 is:
A'(2, 8)
B'(2, 2)
C'(6, 2)
D'(6, 8)
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