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

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Question 535976: a ladder 9m long is placed against a wall 2m away from its base. what is the height reached by the ladder?
find the approximate distance that will be saved by walking diagonally across a field 450m by 250m instead of walking along the two adjacent sides.
A flagpole is to be made firm. how much wire will be needed if, from 3 pegs, each 120cm away from the foot of the people, wire will be tied to a point on the pole 2and1/2m from the ground?

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Question 536417: Hi I have a binary division problem. can you show me how its done

10,010,101 by 1010

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Question 536521: Given: Q is the midpoint of line segment PR and R is the midpoint of line segment QS
Prove: PR=QS

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Question 536378: i don't know how to do 2 column proof with sas sss asa sas ect. please help
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Question 537312: Given the figure with:
AD=CB and AB=CD
Prove that AK=CK

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Question 538702: how would you answer a proof if they give u a shape of a rhombus and put a number in each corner
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Question 540312: Can you help me prove this theorem? "Complements of congruent angles are congruent"

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Question 540541: I'm trying to figure out if this is a valid or invalid argument. I have been trying to use a truth table to prove , but am having a hard time.
the argument is:
if something is a bug then it is ugly
spiders are ugly
conclusion spiders are a bug

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Question 541598:
I had a bit of time finding the right image to use. This is pretty much what I'm working with, only it's stands like an hourglass and the base and top extend out farther. (It should also say line AB, line DC and the midpoint on the bisected lines should say E. Also, if there's _?_ then (), then it's where I have to fill out. Everything else is what my textbook says.)
Given: Line segment AB is congruent to line segment DC
Line segment AD and line segment BC bisect each other.
Line AB || line CD
Prove: ▲ ABE is congruent to _?_ (▲ DCE)
Statements----------------------------------------------------------- Reason
1. line segment AB is congruent to line segment DC--------------1. Given
2. line segment AD and line segment BC bisect each other------2. _?_ (Given)
3. line segment AE is congruent to line segment _?_ (DE)------3. Def. of angle bisector
4. line segment BE is congruent to line segment CE-------------4. _?_ (Def. of angle bisector)
5. line AB || line CD-----------------------------------------------5. _?_ (Given)
6. angle BAE is congruent to angle CDE------------------------6. _?_
7. angle _?_ (ABE) is congruent to angle DCE-----------------7. If 2 || lines are intersected by a transversal, then the alternate interior angles are congruent
8. angle _?_ (AEB) is congruent to angle _?_ (CED)----------8. Vertical angles are congruent
9. ▲ ABE is congruent to ▲ DCE-------------------------------9. Definition of congruent polygons

(Feel free to correct my answers as well)

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Question 533672: Lisa, Bree, and Caleb are meeting at an amusement park. They each enter at a different gate. On this diagram of the park, explain where the friends can meet so that each walks the same distance from the gate to their meetind point. Please explain each step.
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Question 541965: Could you please help me to find the missing angles
I have a diagram two corresponding triangle the vertex angles is 56 and the other base measure in unkown and connected to tropozid and all the angles is missing I have to compelete the missing angle in the tropozid and the other triangle.
Thank you for your quick response.

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Question 542805: I have the diagram for a crook problem but how do I solve it?
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Question 543090: How would I answer this proof? Given: <1 and <2 are supplementary.
Prove: m is perallel to n

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Question 543120: sorry this is geometry but my proof is hard and i need your help.
given: segment BC is congruent to segment BA, segment CD is congruent to AD.
prove: triangle ABD is congruent to triangle CBD..

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Question 543760: How am I supposed to get help with my proof, if I can't show you what the picture that goes along with it looks like?
Click here to see answer by Edwin McCravy(8909) About Me 

Question 545333: given: dw=on
prove: do=wn
please help as soon as possible!!

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Question 546907: t+p=?
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Question 547047: I was wondering if you could help me prove that Rstq (a rhombus) is a rhombus
The given is that rstq is a quadrilateral and that angle srt in congruent to angle str and angle str is congurent to rtq and angle rtq is congurent to trq and the rhombus looks like__s
__________________R/_\T
___________________\_/
____________________q
and could you set it up as a two column proof please?

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Question 547240: Given: GH is parrallel to HJ, KJ is parallel to HJ, Prove: Triangle GHJ is congruent to Triangle KJH (use AAS theorem)
PLEASE HELP

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Question 547780: if arms of a parallelogram are not equal then prove that bisectors of the angles form a rectangle.

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Question 547583: what is all the terms i need to use when i state the reason?
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Question 547580: prove that ab+bc+ac
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Question 548583: please give me a short definiton of prrof that referrs to geometry Please
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Question 548848: write an indirect proof for the following statements:
1. a scalene triangle cannot have 2 congruent angles.
2. an isosceles triangle cannot have a base angle that is a right angle.

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Question 548884: Can you help me do a two colum proof of 2x+8=35
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Question 548543: Given S is the Midpoint of segment QT and segment QR is parallel to segment TU Prove that Triangle QSR is congruent to Triangle TSU

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Question 548932: I'm having a little trouble with trying to figure this problem out
Given: Isos. Triangle STU
ST is congruent to TU
V is the midpoint of SU
Prove: a)triangle svt is congruent to triangle uvt
B)tv is perpendicular to su
C)tv bisects angle stu
D) angle s is congruent to angle u
All I can get is:
ST is congruent to TU:Given
V is the midpoint of SU:Given
SV is congruent to VU:Def. Of midpoint
I'm stuck on what to do next.

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Question 548951: in a figure, ABC is a triangle in which AB=AC.Find x° and y°.
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Question 549081: Given: RT Perpendicular TS
Prove: RS greater than RT

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Question 549203: what is the answer to this proof?
Given:Isosceles triangle with a bisector of the vertex angle
Prove: The vertex angle bisector is perpendicular to the base of the isosceles triangle

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Question 549375: Given: ABCD is an isosceles trapezoid
Prove: AC is congruent to BD

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Question 549444: given: AB= 12, Bc=8, Ac=8
Prove: Angle DCE is obtuse

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Question 549583: Can someone help me with proofs.
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Question 549865: If line AB and CD bisect eachother at point e prove: triangle cea is congruent to triangle deb,
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Question 550468: PROVE: An angle bisector of the vertex angle of an isosceles triangle is also an altitude. Thanks.
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Question 550587: 1.M is the mid-point of a line segment AB;AXB and MYB are equilateral triangles on opposite sides of AB;XY cuts AB at Z.Prove that:AZ=2 ZB.
2.In trapezium ABCD,AB//DC and DC=2 AB.EF,drawn parallel to AB cuts AD in F and BC in E such that 4 BE=3 EC.Diagonal DB intersects FE at point G.Prove that:7 EF=10 AB.

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Question 549495: What is the paragraph proof for a geometric square?

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Question 550878: I have no clue how to do this its way too confusing. Please Help me.
Write a paragraph proof.
Given:BC is congruent with EC and AC is congruent to DC
Prove: BA is congruent to ED
There is no Graph with this

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Question 550878: I have no clue how to do this its way too confusing. Please Help me.
Write a paragraph proof.
Given:BC is congruent with EC and AC is congruent to DC
Prove: BA is congruent to ED
There is no Graph with this

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Question 551176: In the diagram below, AB = 7, AD = 4, CD = 4 and BC = 7. Prove that Angle ABD = Angle CBD.
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Question 551195: Solve in a two collum proof:
Given: x/2+4x-7=11 Prove:x=4. I only got to step 3:
STATEMENT REASON
1) x/2+4x-7=11 Given
2) 5x/2-7=11 combine like terms
3) 5x/2=18 ??

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Question 551309: If line segment PQ bisects angle SPT; where segment SP is congruent to PT. What Is the reason for angle PSQ congruent to angle TPQ
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Question 551644: how to prove that a triangle is congruent from stating that its segments are congruent? What statement will i put next?
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Question 552021: OK this might be hard to read but its a proof-
so PA(line segment) is congruent to PB and QA is congruent to QB is given
PQ is congruent to PQ (reflexive)
Then triangle PAQ is congruent to PBQ is it because of symmetric property?
Then angle APQ is congruent to BPQ is that corresponding angles?
PR is congruent to PR because of reflexive
Triangle APR is congruent to BPR is that corresponding angles also?

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