91Ó°ÊÓ

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.

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.

Given: $\stackrel{¯}{\mathrm{AB}}â‰\dots \stackrel{¯}{\mathrm{AC}};\stackrel{\mathbf{¯}}{\mathrm{BN}}\mathbf{âŠ\yen }\stackrel{\mathbf{¯}}{\mathrm{AC}}\mathbf{;}\mathbf{}\stackrel{¯}{\mathrm{CM}}âŠ\yen \stackrel{¯}{\mathrm{AB}}$ .

Explain how you could prove that $\mathrm{Δ}\mathbf{ABN}â‰\dots \mathrm{Δ}\mathbf{ACM}$.

Suppose that$\mathrm{Δ}FINâ‰\dots \mathrm{Δ}WEB,$ then is the following statement is the correct way to say?

$\mathrm{Δ}INFâ‰\dots \mathrm{Δ}EWB$

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

In the following figure, given the triangles at the right, which of the following can you conclude are true?

$\begin{array}{l}\mathrm{a}.∠Dâ‰\dots ∠R\mathrm{b}.\stackrel{¯}{DE}â‰\dots \stackrel{¯}{DF}\\ \mathrm{c}.\stackrel{¯}{DF}â‰\dots \stackrel{¯}{RT}\mathrm{d}.∠Eâ‰\dots ∠F\\ \mathrm{e}.∠Eâ‰\dots ∠S\mathrm{f}.∠Sâ‰\dots ∠T\end{array}$

Describe your plan for proving the following.

Given:$\stackrel{¯}{ZW}âˆ\yen \stackrel{¯}{YX};\stackrel{¯}{ZW}â‰\dots \stackrel{¯}{XY}$ Prove:$\stackrel{¯}{ZY}âˆ\yen \stackrel{¯}{WX}$

With proofs in two- column form

Given $\stackrel{\mathbf{¯}}{\mathbf{R}\mathbf{T}}\mathbf{â‰\dots }\stackrel{\mathbf{¯}}{\mathbf{A}\mathbf{S}}$

$\stackrel{\mathbf{¯}}{\mathbf{R}\mathbf{S}}\mathbf{â‰\dots }\stackrel{\mathbf{¯}}{\mathbf{A}\mathbf{T}}$

Prove $\mathbf{∠}\mathit{T}\mathit{S}\mathit{A}\mathbf{â‰\dots }\mathbf{∠}\mathit{S}\mathit{T}\mathit{R}$

Suggest a plan for proving that $∠\mathbf{D}â‰\dots ∠\mathbf{F}$.

For the following figure, state which congruence method can be used to prove the triangle congruent. If no method applies, say none.