A triangle is dilated with the center of dilation at point U. Point E is a vertex of the triangle and point E' is the corresponding vertex of the image. If UE=2 centimeters and U'E'=10 centimeters, what is the scale factor?
A. -5.0
B. -0.2
C. 0.2
D. 5.0***
Is my answer correct?
looks ok to me
Yes, your answer is correct. You found the scale factor correctly. The scale factor is the ratio of the corresponding side lengths in the dilated image and the original triangle. In this case, the corresponding side lengths are UE' and UE.
The ratio of UE' to UE is 10/2 = 5.
Therefore, the scale factor is 5.0. So, the correct answer is D.
Yes, your answer is correct. The scale factor can be determined by dividing the length of the corresponding side of the image triangle by the length of the corresponding side of the original triangle.
In this case, the length of side UE is 2 centimeters and the length of side U'E' is 10 centimeters. Therefore, the scale factor is given by:
Scale factor = U'E' / UE
= 10 cm / 2 cm
= 5
The scale factor is positive because the image triangle is larger than the original triangle, so none of the options A, B, or C are correct. The correct answer is option D, 5.0.