91影视

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

Suppose that $螖BIG鈮�螖CAT$, then complete the following statement.

$\_\_\_鈮�螖CTA$

Draw a diagram for the following:

a.$\stackrel{炉}{XY}$ bisects$\stackrel{炉}{CD}$.

b.$\stackrel{鈫�}{XY}$ bisects$鈭�CXD$.

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

If $a{x}^2+bx+c=0$, with$a鈮�0$, then$x=\frac{鈭�b卤\sqrt{b^2鈭�4ac}}{2a}$.

$2z^2+7z=0$

In Exercises 1-6 you are given a diagram that is marked with given information. Give the reason for each key step of the proof.

Prove:$鈭�\mathbf{CBA}鈮�鈭�\mathbf{DBA}$

Key steps of proof:

a.$\stackrel{炉}{\mathrm{OC}}鈮�\stackrel{炉}{\mathrm{OD}}$

b.$\mathrm{螖}\mathbf{CAO}鈮�\mathrm{螖}\mathbf{DAO}$

c.$鈭�\mathbf{CAO}鈮�鈭�\mathbf{DAO}$

d.$\mathrm{螖}\mathbf{CAB}鈮�\mathrm{螖}\mathbf{DAB}$

e.$鈭�\mathbf{CBA}鈮�鈭�\mathbf{DBA}$

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

Given the conditional 鈥淚f $\text{x}=\mathbf{9}$, then $\mathbf{3}\text{x}=\mathbf{27}$,鈥� its converse is ________.

Can you deduce from the given information that $鈻�\mathbf{RXY}鈮�鈻�\mathbf{SXY}$? If so, what postulate can you use?

Given:$\stackrel{炉}{\mathrm{RY}}鈮�\stackrel{炉}{\mathrm{SY}}$;$鈭�\mathbf{R}鈮�鈭�\mathbf{S}$

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

Use the information given in each exercise to name the method $\mathbf{(}\mathit{S}\mathit{A}\mathit{S}\mathbf{,}\mathbf{}\mathit{A}\mathit{A}\mathit{S}\mathbf{,}\mathbf{}\mathit{S}\mathit{S}\mathit{S}\mathbf{,}\mathbf{}\mathit{A}\mathit{S}\mathit{A}\mathbf{,}\mathbf{}\mathbf{or}\mathbf{}\mathit{H}\mathit{L}\mathbf{)}$you could use to prove $\mathit{螖}\mathbf{\text{鈥�}}\mathit{A}\mathit{O}\mathit{B}\mathbf{鈮�}\mathit{螖}\mathit{A}\mathit{O}\mathit{C}$.You need not write the proofs.

Given $\stackrel{\mathbf{炉}}{\mathbf{A}\mathbf{O}}\mathbf{鈯�}\mathbf{\text{辫濒补苍别鈥�}}\mathit{M}\mathbf{;}\mathbf{}\mathbf{鈭�}\mathit{B}\mathbf{鈮�}\mathbf{鈭�}\mathit{C}$

Complete.

A segment from a vertex of a triangle to the midpoint of the opposite side is called a(n) $\underset{\_}{?}$ of the triangle.