Bismarck's Questions

[Ted]

Here are the questions, along with the associated images, that i received from Bismarck:

I need to write a two column proof. Help me please. On the first drawing this are the directions:

1.Given: Triangle MQPand Triangle MNP are isosceles with base MP
(the line that you see on MP should be on the top not on the bottom).
Proof: triangle MQN is congruent to Triangle PQN
All I know is that the first one is the given can you help me complete the
next statements and the reasons please.

Statements Reasons
1. 1.








Second figure: remember about the underlined letter it shoul be on the top ok.
2. Given: AC is congruent BC, Angle 1 is congrunt to angle 2
Prove: Triangle ACX is congruent to triangle BCX
statements reasons






Third figure

3. Given: PR bisects both angle SPQ and angle QRS

Prove: triangle PQR is congruent to triangle PSR

statements reasons

 

[Guest]

need help fast please

It's me Bismarck

I already have the answer to the firt problem but i still need the other two.

 

[soroban]

Hello, Ted!

These are probably the easiest problems you'll ever get.
Can you explain <u>exactly</u> where your difficulty lies?

2. Given: \(\displaystyle AC\,=\,BC,\L\angle 1 = \angle 2.\)

Prove: \(\displaystyle \Delta ACX\) is congruent to \(\displaystyle \Delta BCX\)

Statements. . . . . . . . . . . Reasons

1. \(\displaystyle AC\.=\,BC\). . . . . . . . .1. Given

2. \(\displaystyle \angle 1 = \angle 2\) . . . . . . . . . 2. Given

3. \(\displaystyle CX\,=\,CX\) . . . . . . . 3. Identity postulate

4. \(\displaystyle \Delta ACX \approx \Delta BCX\) . . 4. s.a.s.

3. Given: \(\displaystyle PR\) bisects \(\displaystyle \angle SPQ\) and \(\displaystyle \angle QRS\)

Prove: \(\displaystyle \Delta PQR\) is congruent to \(\displaystyle \Delta PS\)

Statements. . . . . . . . . . . Reasons

1. \(\displaystyle \angle QPR = \angle SPR\) . . . . 1. Given

2. \(\displaystyle \angle QRP = \angle SRP\) . . . 2. Given

3. \(\displaystyle PR\,=\,PR\) . . . . . . . . . 3. Identity postulate

4. \(\displaystyle \Delta PQR\,\approx\,\Delta RSR\) . . . 4. a.s.a

 

[Guest]

hi

Hello, Soroban!

It's Bismarck!

It was not Ted's question it was my question what happens is that i don't know for what reason i couldn't copy the images to this site. So i sent a e-mail to Ted so he could of help me plugging the drawings to this site.

Where i'm having trouble is where you have put the statements in order I just knew the Givens and the SAS but that was it. And you know what the teacher that I have right know told us to put exactly the same thing that is given in the statements. But I believe you. It makes a lot more sence what you put for the answers than what he esplains. I don't like that teacher because He doesn't expalin good. He just get the book and start copying what is in the section.

I have another Question are you sure in the problem number three. Because there some number missing and some that are repited like in problem three number 4 for the statements. That all I have right now I don't know if i Explained myself.


Well write you later.