Questions on Geometry: Proofs in Geometry answered by real tutors!

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Question 660937: Given: no diagram shown
Angle 5 is supplementary to angle 6
Angle 7 is supplementary to angle 6
Prove: angle 5 is congruent to angle 7

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Question 661425: I am in the 8th grade taking geometry and need to know how to do proofs. Can you help?
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Question 661624: i have a question. what the poop is going on with proofs its so hard and my teacher confuses me.
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Question 661744: prove that, if the difference of two numbers is 4, then the difference of their squares is a multiple of 8.
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Question 661890: What is the reason of angle 1 plus angle 3 plus angle 5 equal 180?
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Question 661893: What is the reason of angle 1 plus angle 3 plus 90 equal 180?
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Question 661897: What is the reason of angle 1 plus angle 3 equal 90?
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Question 661903: What is the reason of angle 4 plus angle 2 equals 90?
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Question 662167: angle 2 equals angle 4


given : m<1=m<3 and m<2=m<4
prove : m I NEED THE REASONS!!!!

statements
1 m<1=m<3
2 m<2=m<4
3 m<1+m<2=m<3+m<2
4 m<1+m<2=m<3+m<4
5 m<1+m<2=m

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Question 662200: If a liquid is water, then it is composed of hydrogen and oxygen. How can it be false.
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Question 662751: I don't quite understand proofs. I need serious help because I have a geometry test coming up and I have a horrible grade in Geometry could you please help me?
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Question 662786: Given: 3/4x-9=2x+5
Prove: x=-56/5

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Question 662858: Can you write a two column proof for this problem?
Given: B, C, D are between A and E respectively
BC congruent to CD, C is the midpoint of AE
Prove: AD=BE

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Question 663204: If angle 4 is congruent to angle 3, ray DG bisects angle BDE
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Question 663230: Hello
First of all in advance I thank you for the help you give me!
Okay so here is the problem I am having a hard time with.
Instruction:
Write a paragraph proof for this form of Theorem 2-2.
If two angles are supplements of congruent angles, then the two angles are congruent.
Given: <1 and <2 are supplementary
<3 and <4 are supplementary
<2 is congruent to <4
Prove: <1 is congruent to <3
What I have:
By the definition of supplementary angles, m<1 + m<2=180 and m<1 + m<4=180. By substitution, m<1 + m<2= m<1 + m<4. Subtract m<1 from each side. You get m<2= m<4, or angle 2 is congruent to angle 4.
That is all I have so far...
However that would only prove...angle 2 is congruent to angle 4...it wouldn't prove what I need to prove...
May you help me?

Click here to see answer by solver91311(24713) About Me 
Question 663230: Hello
First of all in advance I thank you for the help you give me!
Okay so here is the problem I am having a hard time with.
Instruction:
Write a paragraph proof for this form of Theorem 2-2.
If two angles are supplements of congruent angles, then the two angles are congruent.
Given: <1 and <2 are supplementary
<3 and <4 are supplementary
<2 is congruent to <4
Prove: <1 is congruent to <3
What I have:
By the definition of supplementary angles, m<1 + m<2=180 and m<1 + m<4=180. By substitution, m<1 + m<2= m<1 + m<4. Subtract m<1 from each side. You get m<2= m<4, or angle 2 is congruent to angle 4.
That is all I have so far...
However that would only prove...angle 2 is congruent to angle 4...it wouldn't prove what I need to prove...
May you help me?

Click here to see answer by MathLover1(20849) About Me 

Question 663868: I don't understand proofs. For example:
Given: Segment AB is congruent to segment TP.
Prove: Segment AT is congruent to segment BP.
There is a line image accompanying it.
<---a--b--------t--p--->

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Question 664072: -8(k-4)=8(1-2k)
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Question 664053: Given: y=2x+5
y=3x-1
Prove: the solution is (6, 17)
I have to solve this equation in the 2 step method form (Solve on the left and Reasons on the right) i have the first step down(given) but this question stumped me

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Question 664181: Please help me solve this problem!
Given: line k is parallel to line p
prove:m<1 is congruent to m<3
i need the statements and reasons! please help me! thank you

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Question 664715: Instructions: First Prove that triangles are congruent, and then use CPCTC
Given: Angle P and Angle R are right Angle's, M is the midpoint of PR
Prove: Angle N is congruent to Angle Q

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Question 664778: given: 2(x+5)= 8(x-7)rove x = 11
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Question 664785: the proof is
Given: AB = CD
prove AC = BD
AB = CD
BC = BC
AB + BC = CD + BC
AB + BC = BD
BC + CD = AC
AC = BD

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Question 664896: The Sum of the measures of the interior angles of any triangle is 180 degrees
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Question 664899: complements of congruent angles are congruent ..
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Question 664900: if two lines are perpendicular, they form four right angles ..
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Question 664898: if two angles are vertical, then they are congruent ..
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Question 664904: whats the proof of extierior angles
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Question 665167: Please help me solve : PQ = RS, Prove PR = QS
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Question 665856: if triangle ABC is congruent to ACD then what is the postalute?
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Question 666146: given: measure of angle A = 30 and measure of angle B = 2nd measure of angle A. prove: angle A and B are complemntary
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Question 667454: Please help me find the reason for this statement. The Given is: B is between A and D. C is between B and D. The Prove is: AD= BA+BC+CD +AD=AB%2BBC%2BCD+
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Question 667465: THE BISECTOR OF
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Question 667490: A triangle with < BAC = 20 DEG.and AB=AC. D IS such a point on AB that AD=BC.Then find out < ADC.

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Question 667490: A triangle with < BAC = 20 DEG.and AB=AC. D IS such a point on AB that AD=BC.Then find out < ADC.

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Question 667490: A triangle with < BAC = 20 DEG.and AB=AC. D IS such a point on AB that AD=BC.Then find out < ADC.

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Question 668393: Why do you need definitions to write proofs ?
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Question 668503: GIVEN: Line AE is congruent to Line CE
GIVEN: Line AB and Line CD bisect each other
PROVE: Line EB is congruent to Line ED

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Question 668557: What are the four ways to determine if triangles are congruent, describe each of the four ways using vocab?
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Question 668671: What theorem could be used to explain that AB=ZR, if AB=CD and CD=ZR?
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Question 668724: Given: line ab is perpindicular to bc, angle 1 is congruent to angle 2
Prove: angle 3 is congruent to angle 4

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Question 668882: 2/3 and 5/8 are they proportional
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Question 668985: In a geometric proof, how do you know what statement to say next, after you state the given? I kind of understand proofs when the teacher gives me each statement, but when i am by myself i am blank!
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Question 669081: if c is the midpoint of aoverb and d lies on aoverc which of the following expressions are also true? a. dc+cb=db b. ad>db c. ad+cb=ab d. ad
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Question 669221: Use coordinate geometry to prove the statement.
The segments joing the midpoints of a rectangle form a rhombus.
A(0,0)
D(0,b)
C(a,b)
B(a,0)
A is on the orgin of the coorndiante plan, while D is located on the Y axis.
B is located on the X axis. C is not n an axis.

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