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

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Question 510920: how do you solve algebraic proofs that include missing reasons?
Click here to see answer by richard1234(7193) About Me 

Question 511217: Given:
Angle 1 and Angle 2 are complementary.
Angle 2 and Angle 3 are supplementary.
Prove: Angle 1 and Angle 3 are congruent.
Is this possible or is this an error in the question? If both sets were complementary or supplementary, the proof is straight forward. But with one set complementary and the other supplementary, how can Angle 1 and Angle 3 have the same measure?

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Question 511217: Given:
Angle 1 and Angle 2 are complementary.
Angle 2 and Angle 3 are supplementary.
Prove: Angle 1 and Angle 3 are congruent.
Is this possible or is this an error in the question? If both sets were complementary or supplementary, the proof is straight forward. But with one set complementary and the other supplementary, how can Angle 1 and Angle 3 have the same measure?

Click here to see answer by richard1234(7193) About Me 

Question 511077: How do i solve this:
Given- EF is a line segment
Prove-EF is congruent or equal to EF

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Question 511603: Give an argument for the statement, including a reason for each step.
If angle 1 and angle 2 are right angles, then they are supplementary.
This is my answer but I don't think it's correct:
Angle 1 and Angle 2 are right angles. (given)
Angle 1= 90 Angle 2= 90 (definition of right angles)
90+90= 180 (definition of supplementary angles)
Please help me. Thanks!

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Question 511599: Given: AB=CD
Prove: AC=BD

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Question 512025: Some facts about the maximum banking angles of Daytona International Speedway at corners 1,2,3, and 4 are below. Find angle 3. Explain your steps.
Facts:
Angle 1 + Angle 3 + Angle 4= 93
Angle 2 + Angle 4=62
Angle 2=Angle 3
Angle 1=Angle2
Please help me. I'm so confused and I don't know where to start.

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Question 512185: Determine whether each statement is always, sometimes, or never true. Explain your reasoning.
1. Three collinear points determine a plane.
-I Put "Never, 3 noncollinear points make a plane." Is that right?
2. Two points A and B determine a line.

-I put "sometimes, it depends where the points are located." Is that right?
3. A plane contains at least 3 lines.
-Always. (I'm not sure why though) Is this right?

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Question 512636: if ray ACFG and ray BCDE intersect at C and angle ADC is conngruent to angle BFC, then angle ADE is congruent to angle BFG.

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Question 512944: Solve the proof
Given 6(x+5)=60
Prove x=5

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Question 513478: please help me solve:
Given m<2=m<3
Prove: <1 is congruent to <4

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Question 513789: Given: AB=BC
Prove: 1/2AC=BC

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Question 513943: If angle A and angle B are supplementary find the value of x
Measure of angle A= 2x, m of angle B= x-15

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Question 513785: How do I write a 2 coloumn proof ?
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Question 514869: what are the statements and reasons in geometric proof of the given angle2is congruent to angle3?
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Question 515071: Graph each set of lines. then: A. identify two congruent triangles that are formed by the lines. b. write a paragraph proof to justify your statement in part A.
y=3 y=2x+1
y=-1 y=-2x+1

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Question 515070: Graph each set of lines. then: A. identify two congruent triangles that are formed by the lines. b. write a paragraph proof to justify your statement in part A.
3) y=-4..y=x-2
x=-2..y=-x
A.____
B.____

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Question 515067: Graph each set of lines. then: A. identify two congruent triangles that are formed by the lines. b. write a paragraph proof to justify your statement in part A.
1) y=5 y=-x+1
y=-4 y=-3x+2 {grid is here}
A.______________________________________________________
B.______________________________________________________

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Question 515068: Graph each set of lines. then: A. identify two congruent triangles that are formed by the lines. b. write a paragraph proof to justify your statement in part A.
2)y=3..y=2x+1
x=-1..y=-2x-3
A:____
B:____

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Question 515062: 2p-20= -4+6 i need help with the algebraic proof for it
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Question 514688: Given: <1 and <2 are complementary, <2 and <3 are complementary
Prove: <1=<2

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Question 516210: Describe your plan for proving the following. You don't need to give all the details.
Given: ∠2 ≅ ∠3
Prove: ∠1 ≅ ∠4

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Question 516573: write a two column proof for AD is congruent to CE and DB is congruent to EB to prove that AB is congruent to CB. Lines ADB and CEB meet at point B
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Question 516400: I am in Honors Geometry and we are dôing proofs, oh no. Here is the problem we need to solve:
Given line AB is perpendicular to line BC and angle 2 and angle three are complimentary angles, prove angle one is congruent to angle three. The picture shows a triangle with a right angle and a line (not a bisector going through it). Thank you very much, I appreciate any help.

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Question 516394: Use an indirect proof in the paragraph method to show: that John exceeded the 55mph speed limit if he left his house at 8:15 a.m. and arrived at his office 60 miles away at 9:00 a.m.
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Question 516671: : Provide the reasons for the proof.
Given: m angle 1 = m angle 2
Prove: (line over)AC(up-side down T)(line over)BD

Statements:
a. m angle 1 = m angle 2
b. Angle 1 is supplementary to angle 2
c. m angle 1 + m angle 2= 180 degrees
d. m angle 1 + m angle 2 +180 degrees
2(m angle 1)= 180 degrees
e. m angle 1 = 90 degrees
f. angle 1 is a right angle
g. .:.(line over)AC(up-side down T)(line over)BD

Reasons:
a. given
b. ?
c. ?
d. ?
e. ?
f. ?
g. ?

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Question 516751: how do you solve a geometry proof when not given the statements or the reasons? what are some tips to help me remember how to solve them? thank you.
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Question 516939: How do i solve this proof?
I will attach a picture to this so you can open it and see what i'm talking about.
I am so confused i know it's a postulate, but i don't know where to start
http://tinypic.com/r/33v2maq/7
THANKS IN ADVANCE.

Click here to see answer by Edwin McCravy(20081) About Me 

Question 516940: How do i solve this proof?
I will attach a picture to this so you can open it and see what i'm talking about.
I am so confused i know it's a postulate, but i don't know where to start
http://tinypic.com/r/33v2maq/7

Click here to see answer by Edwin McCravy(20081) About Me 

Question 517147: is it possible to have congruent angles created by complementary angles?
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Question 517366: GIVEN:
triangle ABC has vertices A(2,1) B(7,4) and C(4,-1)
triangle DEF has vertices D(-3,1) E(0,-4) and F(-5,-1)
PROVE:
triangle ABC is congruent to triangle DEF
(it is a 7 step proof)
I understand that I need to utilize the distance formula to prove corresponding sides congruent, then use the SSS (side side side) postulate to prove the triangles congruent, but I do not understand how to fit this into seven steps. I also don't know whether to use properties of equality or not to justify my equations, but that would make the proof far too long.
-thanks for the help.

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Question 517551: Write a two-column proof-
Given: Angle ABD is congruent to angle YXZ
Prove: Angle CBD is congruent to angle WXZ

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Question 517506: If m ∠ ABC = 2x + 20 and ∠ CBD = 5x -15
find the value of x so that ∠ ABC and
∠ CBD form a linear pair.

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Question 518336: What is the proof for 3x+5/2=7
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Question 519172: Given: E is the midpoint of segment AC.
Prove: AE=EC?
it's not a 2 step proof

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Question 519318: my teacher gave us an extra credit question which was:
given: A=B
prove: B=26
he did half of it like this
1. A=b 1. given
2. a*a=b*a 2. multiplication postulate of equality
a^2=ba
3. a^2-b^2=ba-b^2 3.multiplication postulate of equality.
(a+b)(a-b)/(a-b)=b(a-b)/(a-b)
4.(a+b)=b
5. b+b=b
the extra credit is to tell him what he did wrong and why?

Click here to see answer by Edwin McCravy(20081) About Me 

Question 519333: Hi. Is there any trick to doing proofs or do you just have to memorize the different postualtes and theorems. I have a test on them on monday and I am confused. Also, how do you know which step you are supposed to write next.
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Question 519860: In proofs, My 9th grader has difficulty "seeing" the correct triangles to solve for, especially when they are overlapping or a detour proof. Any suggestions for helping him through this? Thanks.
Click here to see answer by Edwin McCravy(20081) About Me 

Question 520226: GIVEN: angle ABD is congruent to angle YXZ
PROVE: ANGLE CBD Is congruent to angle WXZ
write a two column proof.

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Question 520290: What is it called when you go from a statement like AB = CD then in the next one it has the lines over the AB and the CD?
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Question 520843: write a proof to show that <4 and <5 are supplementary if <3=<2

/\
/ \
______1/2__3\4______________________________
5/6 7\8
/ \

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Question 521335: How do you do a 2 column proof for corollary 4-4?
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Question 521467: given AL=SK how do you prove AS=LK
on a line segment of ALSK

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Question 522090: what is the distance between the points (-4,3) and (3,-1)
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