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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

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 13**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*}$

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