write a proof of the triangle midsegment theorem

now write a proportion using $\overline{gh}$ and $\overline{df}$. choose the correct answer below.

$\bigcirc$ a. $\dfrac{gh}{df} = \dfrac{eh}{hf}$

$\bigcirc$ b. $\dfrac{gh}{df} = \dfrac{ef}{eh}$

$\bigcirc$ c. $\dfrac{gh}{df} = \dfrac{eh}{ef}$

$\bigcirc$ d. $\dfrac{gh}{df} = \dfrac{ef}{ed}$

Question

write a proof of the triangle midsegment theorem

now write a proportion using $\overline{gh}$ and $\overline{df}$. choose the correct answer below.

$\bigcirc$ a. $\dfrac{gh}{df} = \dfrac{eh}{hf}$

$\bigcirc$ b. $\dfrac{gh}{df} = \dfrac{ef}{eh}$

$\bigcirc$ c. $\dfrac{gh}{df} = \dfrac{eh}{ef}$

$\bigcirc$ d. $\dfrac{gh}{df} = \dfrac{ef}{ed}$

Accepted Answer

# Brief Explanations:
The Triangle Midsegment Theorem involves similar triangles formed by midsegments. For segments $\overline{GH}$ and $\overline{DF}$, the correct proportion comes from corresponding sides of similar triangles, where $\overline{GH}$ corresponds to $\overline{DF}$, $\overline{EH}$ corresponds to $\overline{EF}$.
# Answer:
C. $\frac{GH}{DF} = \frac{EH}{EF}$

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