Question

PLZ HELP ME

Triangle WXY has coordinates W(2, 4), X(2, 2), and Y(4, 2). Which of the following sets of points represents a dilation of triangle WXY?
A.
W'(4, 6), X'(4, 4), Y'(8, 4)
B.
W'(4, 8), X'(6, 4); Y'(8, 4)
C.
W'(2, 6); X'(2, 2); Y'(4, 2)
D.
W'(8, 16), X'(8, 8), Y'(16, 8)

Answer 1

D

Explanation:

Lengths:

WX: 2

XY: 2

WY: sqrt[(4-2)² + (2-4)²]

sqrt(4+4)

4sqrt(2)

W'(8, 16), X'(8, 8), Y'(16, 8)

W'X': 8 --> 4 × 2

X'Y': 8 --> 4 × 2

W'Y': sqrt[(16-8)² + (8-16)²]

sqrt(64 + 64)

8sqrt(2) --> 4 × 2sqrt(2)

D is a dilation with factor 4