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25 votes
25 votes
quadrilateral ABCD is dilated with center 0,0 taking B to B'. draw or give the new coordinates for points A'B'C'D'

quadrilateral ABCD is dilated with center 0,0 taking B to B'. draw or give the new-example-1
User David Tischler
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2.8k points

1 Answer

14 votes
14 votes

The coordinates of the points on the new quadilateral are;

A' = (-4,-6)

B' = (6,2)

C' = (2,-2)

D' = (-6,-4)

Here, we need to get the transformation that turned B to B'

Afterwards, we can get the coordinates of the other points that make up the new quadilateral we are trying to plot

To get the transformation rule, we need to note the coordinates of B and B'

The coordinates of B are (3,1) , while the coordinates of B' are (6,2)

What we see clearly here is that the coordinates of the new point is twice the coordinates of the old point

What this mean is that the new quadilateral was formed as a result of dilating the coordinates of the old quadilateral by 2

Thus, to get the coordinates of the new points on A'B'C'D', we shall start multiplying each of the old coordinates by 2

A (-2,3) - A' (-4,6)

C (1,-1) - (2,-2)

D (-3,-2) - (-6,-4)

User Mark Pim
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3.0k points