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...)
Instead of a formal (two-column proof) consisting of a "Statements" and "Reasons" column, the evidence is shown in a paragraph form... I suppose...what do you mean by "paragraph proofs"?
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.Write a paragraph proof.
Given: AM = CN, MB = ND
Prove: AB = CD
A _____M______ B
.______._______.
| _____________|
| _____________|
.______._______.
D _____N ______C
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
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
So I start with my Statements and reasons chart...
I got this far... what are the last two?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________???