91Ó°ÊÓ

Given: Rectangle $\text{QRST}$; $â–\pm \text{RKST}$; $â–\pm \text{JQST}$

Prove: $\stackrel{¯}{\text{JT}}â‰\dots \stackrel{¯}{\text{KS}}$.

Given: ABCD is a $â–\pm ,\stackrel{¯}{CD}â‰\dots \stackrel{¯}{CE}$

Prove: $∠\mathrm{A}â‰\dots ∠\mathrm{E}$

Given: $\stackrel{¯}{\mathbf{AD}}â‰\dots \stackrel{¯}{\mathbf{BC}}$; $\stackrel{¯}{\mathbf{AD}}âˆ\yen \stackrel{¯}{\mathbf{BC}}$.

Prove: $\stackrel{¯}{\mathbf{EF}}â‰\dots \stackrel{¯}{\mathbf{FG}}$.

Given: ABCDis a $â–\pm ,∠\mathrm{A}â‰\dots ∠\mathrm{E}$

Prove: localid="1637661691185" $\stackrel{¯}{AB}â‰\dots \stackrel{¯}{CE}$

Prove Theorem 5-12.

For the following figure, given that $ABCD$is a trapezoid with median $\stackrel{¯}{MN}$.

If $DC=3x,AB=2x^2,EF=7$ then find the value of x.

$\stackrel{¯}{VE},\stackrel{¯}{FG}$are congruent. $J,K,L,M$are the midpoint of $\stackrel{¯}{EF},\stackrel{¯}{VF},\stackrel{¯}{EG},\stackrel{¯}{VG}$. What name best describes JKLM? Explain.

Prove Theorem 5-14 for one diagonal of the rhombus, (Note that a proof for the other would be similar, step-by-step).

Find something interesting to prove. Then prove it. Answers may vary.

Given: $â–\pm \mathrm{ABCD};∠1â‰\dots ∠2$

Find something interesting to prove. Then prove it. Answers may vary.

Given: $â–\pm \mathrm{EFIH};â–\pm \mathrm{EGHJ};∠1â‰\dots ∠2$