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Question

# (a). Draw trapezoid ABCD. Let E and F be points on $\overleftrightarrow{A B}$ such that $\overrightarrow{C E} \perp \overleftrightarrow{A B}$ and $\overrightarrow{D F} \perp \overleftrightarrow{A B}$.(b). Prove that CE=DF.($c$). Let AB=$b_1, CD=b_2$, and CE=DF=h. Prove that the area of trapezoid ABCD is $\frac{h}{2}\left(b_1+b_2\right)$.

Solution

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a) After drawing ${ABCD}$, we are asked to plot points $E$ and $F$ on $\overline{AB}$, where;

\begin{align*} &(i)&\text{ \overline{CE} \perp \overline{AB}} \tag{1} \end{align*}

\begin{align*} &(ii)&\text{ \overline{DF} \perp \overline{AB}} \tag{2} \end{align*} ## Recommended textbook solutions #### Geometry

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