91Ó°ÊÓ

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

$\_\_=RP$

Complete.

If$\stackrel{\mathbf{¯}}{\mathit{R}\mathit{K}}$is both an altitude and a median of $\mathbf{Δ}\mathit{R}\mathit{S}\mathit{T}$, then:

1. $\mathbf{Δ}\mathit{R}\mathit{S}\mathit{K}\mathbf{â‰\dots }\mathbf{Δ}\mathit{R}\mathit{T}\mathit{K}$by $\underset{¯}{?}$
2. $\mathbf{Δ}\mathit{R}\mathit{S}\mathit{T}$is $\mathit{a}\mathbf{\left(}\mathbf{n}\mathbf{\right)}\underset{\mathbf{¯}}{\mathbf{?}}$triangle
   
   

For the following figure, can the triangle be proved congruent? If so, what postulate can be used?

For the following figure, find the value of $x$.

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to $\mathrm{Δ}ABC$. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

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

$\mathrm{Δ}ABOâ‰\dots \mathrm{Δ}\_\_\_$

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to $\mathrm{Δ}ABC$. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

For the following figure, can the triangle be proved congruent. If so, what postulate can be used?

Complete each sentence with the most appropriate word, phase or value.

If $∠\mathbf{1}$ and $∠\mathbf{2}$ are complements and $\text{m}∠\mathbf{1}=\mathbf{74}$, then$\text{m}∠\mathbf{2}=$ ________.

Prove the following statement: If both pairs of opposite sides of a quadrilateral are parallel, then they are also congruent.

Given:$\stackrel{¯}{SK}âˆ\yen \stackrel{¯}{NR};\stackrel{¯}{SN}âˆ\yen \stackrel{¯}{KR}$

Prove:$\stackrel{¯}{SK}â‰\dots \stackrel{¯}{NR};\stackrel{¯}{SN}â‰\dots \stackrel{¯}{KR}$