91Ó°ÊÓ

Complete.

If $â–³BADâ‰\dots â–³TOP$, then role="math" localid="1649245739017" $\stackrel{¯}{DB}â‰\dots \underset{\_}{?}$and role="math" localid="1649245766553" $â–³PTOâ‰\dots \underset{\_}{?}$.

Complete.

If $\mathit{K}$is the midpoint of $\stackrel{\mathbf{¯}}{\mathit{S}\mathit{T}}$,then$\stackrel{\mathbf{¯}}{\mathbf{R}\mathbf{K}}$ is called$\mathit{a}\left(n\right)\underset{\mathbf{¯}}{\mathbf{?}}$ of$\mathbf{Δ}\mathit{R}\mathit{S}\mathit{T}$

Explain how you would prove the following. Given that$\stackrel{¯}{HY}â‰\dots \stackrel{¯}{LY},\stackrel{¯}{WH}\left|\right|\stackrel{¯}{LF}$. Prove that$\mathrm{Δ}WHYâ‰\dots \mathrm{Δ}FLY$.

Explain how corollary 2 follows from corollary such that an equilateral has three 60-degree angles.

In the following figure, the two-triangle shown are congruent. Then explain the following statement.

Deduce that $\stackrel{¯}{DC}âˆ\yen \stackrel{¯}{AB}.$

Solve each equation by factoring or by using the quadratic formula. The quadratic formula is:

If $a{x}^2+bx+c=0$, with $a≠0$, then $x=\frac{-bÂ\pm \sqrt{b^2-4ac}}{2a}$.

$49z^2=1$

Write proofs in two-column form.

Given: $∠\mathbf{JMK}â‰\dots ∠\mathbf{LMK}$; $\stackrel{¯}{\mathbf{MK}}$$âŠ\yen$plane $\mathbf{P}$.

Prove: $\stackrel{¯}{\mathbf{JK}}â‰\dots \stackrel{¯}{\mathbf{LK}}$

Write proofs in the form specified by your teacher (two-column form, paragraph form, or a list of key steps)

Given: Congruent parts as marked in the diagram. Prove:$∠\mathbf{B}â‰\dots ∠\mathbf{F}$

(Hint: First draw two auxiliary lines.)

The two triangles shown are congruent. Complete.

a. $\mathrm{Δ}STOâ‰\dots$? .

b. $∠Sâ‰\dots$? because ?.

c. $∠SOâ‰\dots$? because ? .

Then point O is the midpoint of? .

d. $∠Tâ‰\dots$? because ?.

Then $\stackrel{¯}{ST}âˆ\yen \stackrel{¯}{RK}$because ?.

Draw a diagram for the following:

a. equilateral$\mathbf{Δ}\mathit{E}\mathit{F}\mathit{G}$.

b. equiangular $\mathbf{Δ}\mathit{E}\mathit{F}\mathit{G}$.