Question

Triangle OLD below needs to be enlarged by a scale factor of 4 so that Triangle OLD ~ Triangle NEW. Which

of these best describes the resulting triangle NEW?


A. EW=6, m/N=72°
B. EW=6, m N=18°
C. NE=16, mZW=72°
D. NE=16, m/W=108°

Answer 1

Answer: C

Explanation:

Dilations do not change angle measure, so
`\angle D \cong \angle W`. However, because
`\Delta OLD` is isosceles,
`\angle O \cong \angle D \implies \angle O \cong \angle W`.

Since sides
`OD` and
`NE` correspond, we know
`NE=1.5 \cdot 4=6`.