The triangle shown will undergo a scale factor of 2.5 and a center of dilation at the origin. What are the new coordinate points of the Triangle? (Click Here for Help Video)
(10 points)
A′=
B′=
C′=
To find the new coordinate points of the triangle after a scale factor of 2.5 and a center of dilation at the origin, we multiply each coordinate of the original triangle by the scale factor.
Let's say the original coordinates of the triangle are:
A(1, 4)
B(3, 2)
C(5, 6)
To find the new coordinates, we multiply each coordinate by the scale factor of 2.5.
For point A:
A' = (2.5 * 1, 2.5 * 4) = (2.5, 10)
For point B:
B' = (2.5 * 3, 2.5 * 2) = (7.5, 5)
For point C:
C' = (2.5 * 5, 2.5 * 6) = (12.5, 15)
Therefore, the new coordinate points of the triangle are:
A' = (2.5, 10)
B' = (7.5, 5)
C' = (12.5, 15)