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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°

Triangle OLD below needs to be enlarged by a scale factor of 4 so that Triangle OLD-example-1
User Diego Pino
by
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1 Answer

3 votes

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.

User Robertwb
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