Find the measure of angle R
1 answer:
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Given:
Scale factor
Center of dilation = (4,2)
To find:
The coordinates of the points C' and A.
Solution:
We know that, if a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
The scale factor is and the center of dilation is at (4,2).
...(i)
Suppose the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using rule (i), we get
Hence, the coordinates of Point C' are C'(2,5).
Let us assume that point A is A(m,n).
Using rule (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).
Answer:
D
Step-by-step explanation:
The formula for the circumference of a circle is 2r. So if we know that C=60
then we can trace our steps back. We are given that pi remains constant so we are left with the 2r from the formula and a 60. 60/2 =30.
The radius is 30cm