# Thread: Paragraph Proofs! - Geometry

1. ## Paragraph Proofs! - Geometry

Help... I don't know how to write a paragraph proof and my test is tommorrow. It's not my fault, I swear. I'm a good student, I just don't have a good teacher

Write a paragraph proof.
Given: AM = CN, MB = ND
Prove: AB = CD

A _____M______ B
.______._______.
| _____________|
| _____________|
.______._______.
D _____N ______C

(that's pretty much the drawing they give me. "." represents the points on the quadrilateral...)

2. Originally Posted by Melancholy
Help... I don't know how to write a paragraph proof and my test is tommorrow. It's not my fault, I swear. I'm a good student, I just don't have a good teacher

Write a paragraph proof.
Given: AM = CN, MB = ND
Prove: AB = CD

A _____M______ B
.______._______.
| _____________|
| _____________|
.______._______.
D _____N ______C

(that's pretty much the drawing they give me. "." represents the points on the quadrilateral...)
what do you mean by "paragraph proofs"?

this can be done in one line:

AB = AM + MB = CN + ND = CD

3. what do you mean by "paragraph proofs"?
Instead of a formal (two-column proof) consisting of a "Statements" and "Reasons" column, the evidence is shown in a paragraph form... I suppose...

Like for instance...

Given that M is the midpoint of PQ, write a paragraph proof to show that PM [is congruent to] MQ.

Given : M is the midpoint of PQ.
Prove: PM [is congruent to] MQ

"From he definition of a midpoint of a segment, PM = MQ. This means that PM and MQ have the same measure. By the definition of congruence, if two segments have the same measure, then they are congruent. Thus, PM [is congruent to] MQ."

That's just an example...

I don't need to know just the answer from the problem above...
Write a paragraph proof.
Given: AM = CN, MB = ND

Prove: AB = CD

A _____M______ B
.______._______.
| _____________|
| _____________|
.______._______.
D _____N ______C
... I need to know how to get it using paragraph form.

4. Originally Posted by Melancholy
Instead of a formal (two-column proof) consisting of a "Statements" and "Reasons" column, the evidence is shown in a paragraph form... I suppose...

Like for instance...

Given that M is the midpoint of PQ, write a paragraph proof to show that PM [is congruent to] MQ.

Given : M is the midpoint of PQ.
Prove: PM [is congruent to] MQ

"From he definition of a midpoint of a segment, PM = MQ. This means that PM and MQ have the same measure. By the definition of congruence, if two segments have the same measure, then they are congruent. Thus, PM [is congruent to] MQ."

That's just an example...

I don't need to know just the answer from the problem above...
... I need to know how to get it using paragraph form.
all you will be doing, it seems, is describing what i did in the equation i posted. try to describe it in words, i will guide you

5. I don't really know how to understand it/work it. Am I basing it off a theorem? Or a postulate? I think it would be a theorem... but I don't know.

Would it be the segment congruence theorem?

6. Originally Posted by Melancholy
I don't really know how to understand it/work it. Am I basing it off a theorem? Or a postulate? I think it would be a theorem... but I don't know.

Would it be the segment congruence theorem?
well, i don't know what theorems you want to use, but the gist of what you say should be:

since AB is composed of the segments AM and MB, we have that AB = AM + MB. But we were told that AM is congruent to CN and MB is congruent to ND. And so we have that AB = CN + ND. but CN and ND are the segments that compose CD. therefore, AB = CD

7. That's a good proof, Jhevon. Thank you. How do you get your mind to find it though lol?

Also, is there any particular method I could use to help me study for a test on algebraic and paragraph proofs, postulates, theorems, truth tables, truth values, an etc? It's so stressful! I need to find a way to understand it all! ... because my teacher is unfortunately not teaching. He's preaches

Could someone help me with this proof?

Write a two column proof.

Given: /1 and /2 are supplementary
_____/3 and /4 are supplementary
_____ / 1 [is congruent to] / 4

Prove: / 2 [is congruent to] / 3

Statements___________________| Reasons
1. /1 and /2 are supplementary.___ Given
_ /3 and /4 are supplementary.
_ /1 = /4

2. m /1 + m /2 = 180____________Definition of Supplementary Angles
_ m /3 + m /4 = 180

3. m /1 + m /2 = m /3 + m /4_____Substitution

4. m /1 = m /4_________________Definition of congruent angles

5. m /2 = m /3_________________???

6. /2 [is congruent to] /3________???
I got this far... what are the last two?

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### paragraph proof math

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