Sara can type 90 words in 4 minutes. About how many words would you expect her to type in 10 minutes at this rate?
2 answers:
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Given:
The red figure dilated with a scale factor of and the center of dilation is at the point (4,2) to get the green figure.
To find:
The coordinates of C' and A.
Solution:
If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
In given problem, the scale factor is and the center of dilation is at (4,2).
...(i)
Let the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
From the given figure it is clear that the image of point A is (8,4).
On comparing both sides, we get
And,
Therefore, the coordinates of point A are (16,8).