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Triangle $TUV$ is dilated by a scale factor of $\frac{2}{3}$ to form triangle $T'U'V'$ . What is the measure of side $UV$ ?

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Dilations and parallel lines

Full solution

Q. Triangle

TUV

is dilated by a scale factor of

\frac{2}{3}

to form triangle

T'U'V'

. What is the measure of side

UV

?

Identify length: Identify the original length of side $UV$ . Assume $UV = 9\,\text{cm}$ .
Apply scale factor: Apply the dilation scale factor to UV to find the length of U'V'. Calculation: $9 \text{ cm} \times \frac{2}{3}$ .
Perform multiplication: Perform the multiplication to find the new length. $9 \times \frac{2}{3} = 6$ cm.

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