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

Tutors Answer Your Questions about Geometry proofs (FREE)

Question 172857: given Y is the midpoint of segment XZ, segment XV is congruent to segment ZW,segment XV is parallel to segment ZW prove triangle XVY is congruent to triangle ZWY
Click here to see answer by colliefan(239)

Question 172823: I have this problem that i have to solve in front of my class tomorrow and my teacher did not tell if it was right or wrong...
It is a quadrilateral with 2 right trianglea at the 2 opposite corners of the quadrilateral both of their legs are congruent and there is 2 other triangles in the quadrilateral that are connected to both of the right triangles. its really confusing.
given: BE PERPENDICULAR TO AC, DF PERPENDICULAR TO AC
BE CONGRUENT TO DF, AF CONGRUENT TO EC
PROVE: AB CONGRUENT TO DC
Click here to see answer by jim_thompson5910(28593)

Question 173153: ABC isosceles and CD is angle bisector of the vertex angle
prove that BD = AD
Thanks for your help
Click here to see answer by jim_thompson5910(28593)

Question 173265: Given: Segment CS and segment AT are altitudes; Segment CS is congruent to segment AT
Prove: Segment AS is congruent to segment CT
Use this diagram to help you:
http://i164.photobucket.com/albums/u27/foxymccloud/geometry.jpg
Click here to see answer by jim_thompson5910(28593)

Question 173257: How Would You Figure THis Problem Out? How Would You Draw The Flowchart?
Click here to see answer by Mathtut(3670)

Question 173232: i need help with this proof
given:line segment vt bisects line segment rw
line segment rw bisects line segment tv
prove:triangle rsv is equal and congruent to triangle tsw
Click here to see answer by colliefan(239)

Question 173264: Given: H is the midpoint of segment DK and segment PG.
Prove: Segment DG is congruent to segment KP
Click here to see answer by gonzo(654)

Question 173520: the lengths of the sides of a triangle are 2x+5, 3x+10, and x+12. Find the values of x that make the triangle isoceles.
Click here to see answer by checkley77(12569)

Question 173736:
Click here to see answer by Mathtut(3670)

Question 173814: Prove: the sum of the interior angles of a triangle is 180 degrees, can you please write a 2 column proof
Click here to see answer by Edwin McCravy(8908)

Question 173835: Hello,
I have submitted the following (please open web link for my work)twice for grading, and my grader keeps telling me this:
"Through a point outside a line, there is exactly one line parallel to the given line." but this is Euclid's postulate and as such does not require proof. Please provide the theorem that can be proved in Euclidean geometry but not in non-Euclidean geometry."
http://www.taskstream.com/ts/brechtel/MGA5Task2.html-Web link for my work
Thanks for your help!
Click here to see answer by solver91311(16877)

Question 173567: RS bisects PQ at T. PQ bisects RS at T.
prove: Triangle PTS congruent Triangle QTR
Click here to see answer by nycsub_teacher(90)

Question 173896: what is a two-column proof on Theorem 6-6?
Click here to see answer by solver91311(16877)

Question 173911: Hi! How Are You?! im having trouble with this proof can u please help me?!

D_________C I hope you ge tthe idea how it is... Can u please check if
|\------/| it is right.. and if its wrong can u please give me the
|-\----/-| corrections
|--\--/--|
|___\/___|
A---M----B

Given:
ABCD is a rectangle
M is the midpoint of line AB
Prove:
line DM is congruent to Line CM
i wrote
1. ABCD is a rectangle - Given
2. Line DA + Line CB is Congruent - Properties of a rectangle
Angle DAM + Angle CBM is Congruent -
3. M is the midpoint of Line AB - Given
4. Line AM + Line BM is congruent - DEFfinition of a midpoint
5. Triangle DAM + Triangle CBM - S.A.S
6. Line DM is congruent to Line CM - CPCTC

Click here to see answer by solver91311(16877)

Question 173910: Hi! How Are You?! im having trouble with this proof can u please help me?! D__________C |\-------2/| I think u kinda get the figure?!? thers a rectangle |-\------/-| With the diagonal inside and E is the midpoint of the |-----E----| Diagonals |-/------\-| |/1_______\| A B Given Line DB Bisects Line AC (THey meet at point e in the middle of the rectangle) Angle 1 is congruent to Angle 2 Prove ABCD = rectangle Thank you for helping appreciate it!

Click here to see answer by Edwin McCravy(8908)

Question 173906: Hi! How Are You?! im having trouble with this proof can u please help me?!
Rhombus ABCD
Given
Line AB is parallel to line CD
Line AB is congruent to line CD
Line AC is perpendicular to BD
Prove:
ABCD is a Rhombus
i dont get it so please help me thank you..
Click here to see answer by Mathtut(3670)

Question 173907: can you please help me with this problem <<<< write a proof about of Theorem 6-6 >>>>> theorem 6-6 states that if both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
THANK YOU SO MUCH!!

Click here to see answer by Mathtut(3670)

Question 174017: Given: RP is congruent to QS
RS is congruent to QP
Prove that: triangle RPQ is congruent to triangle QSR
Click here to see answer by Mathtut(3670)

Question 173749: Given: Segment AB is parallel to segment BE; Segment CD is parallel to segment BE; Segment AD is perpendicular to segment CE
Prove: Angle A is congruent to angle C
Here's a picture to help you:
http://i164.photobucket.com/albums/u27/foxymccloud/321gogeometry.jpg
Click here to see answer by Edwin McCravy(8908)

Question 173953: Given: line WJ is congruent to line kz, and w and angle k are right angles
prove: triangle jwz is congruent to triangle zkj
hint: 4 steps
Click here to see answer by gonzo(654)

Question 174240: can you help me with this please...Thank you
Given:ABCD is a rectangle E is the midpoint of line AD
Prove: traingle BEC is isosceles

please help... really appreciate it thank you
Click here to see answer by vleith(2825)

Question 173746: I need help with a proof. It is a pentagon with a star within it, the letters on the outside of the pentagon starting at the top and going righ are D, C, B, A and E. The only letter on the interior is an O in the bottom of a smaller pentagon formed by the star which is in the middle of the original. My goal is to make EC paralell to AB, please, please help if you can.
Click here to see answer by Edwin McCravy(8908)

Question 173951: Given: Angle PQT and angle RQT are right angles, Line PQ is congruent to line QR, Angle VQT is congruent to angle SQT.
Prove: Line VQ is congruent to line SQ.
Click here to see answer by Mathtut(3670)

Question 173426: Given: the measure of angle one equals the measure of angle 4
Prove: the measure of angle 2 equals the measure of angle 3
This book does not explain these problems so i can understand them. it has showed me how to do proofs but i still cannot understand what i am supposed to do.
Click here to see answer by solver91311(16877)

Question 173897: Can you please help me with the following problem <<<<< write a paragraph proof for theorem 6-6 >>>>> theorem 6-6 states that if both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
THANK YOU!!!! :]
Click here to see answer by Mathtut(3670)

Question 173843: Write a paragraph proof.
Given: measure of angle GFI = measure of angle HFJ
Prove: measure of angle GFH = measure of angle HFI
Click here to see answer by Mathtut(3670)

Question 174284: Given: ABCD is a square and XYZW is a figure inside the square
AX is congruent to BY which is congruent to CZ which is congruent to DW
BX is congruent to CY which is congruent to DZ which is congruent to AW
Prove that WXYZ is a square
Click here to see answer by Edwin McCravy(8908)

Question 173109: Given: RS bisects Prove: Triangle PQR is isosceles
Click here to see answer by nycsub_teacher(90)

Question 173114: Given: Angle RBA is congruent to angle DAB; Angle D is congruent to angle R.
Prove: triangle DBX is congruent to triangle RAX
Click here to see answer by nycsub_teacher(90)

Question 173738: Hi, I am trying to solve a problem-- I have to write a paragraph proof for If m<1=m<2, then m <1=m<2. The diagram cannot be loaded onto this box forum and it is not in a book. sorry but maybe this is enough information to help you out? if not that is okay.
Click here to see answer by midwood_trail(310)

Question 174585: My teacher assigned a problem called Dilcue's Chair. She said that it required some research to answer and I have tried to research the answer online all week and I have found nothing. The problem says that the chair was built such that the legs, segment HN and segment AO are attached at their midpoint R. Even though the legs turn out to be unequal in length, the seat of the chair, segment HA, is parallel to the floor, segment ON. Can you please help me solve this problem? Thank You.
Click here to see answer by Mathtut(3670)

Question 174596: Hi I need help providing reasons for this proof.
I already provided some but don't know the rest.

Given: Square ABCD, Diagonals AC and BD
Prove:∠DEC and ∠BEC are right angles.
Statements: Reasons
scuare ABCD: Given.
segment DC is congruent to segment BC:
segment DE is congruent to segment BE:
segment EC is congruent to segment EC: Reflexive Property of Congruence.
triangle DEC is congruent to triangle BEC:
angle DEC is congruent to angle BEC:
measure of angle DEC is equal to measure of angle BEC: Definition of Congruence.
angle DEC supplements angle BEC:
measure of angle DEC plus measure of angle BEC equals 180degrees: Definition of supplementary angles.
measure of angle DEC equals measure of angle BEC queals 90degrees: Substitution and Division Property of Equality.
angle DEC and angle BEC are right angles: Definition of a right angle.
Click here to see answer by Mathtut(3670)

Question 174950: Hello, I am a 10th grade and I really need help with this proof please. The question is triangle ACB. At point C, two lines are drawn. Point D and E. Which go on the same line of A and B, so points D and E are in between those two corners/points. I was just describing it, thats not the question.
The Given: angle CDE is congruent to angle CED, line AD is congruent to line EB.
I need to prove that angle ACD is congruent to angle BCE.
So far I drew that angle CDE is congruent to angle CED. I marked the triangle. and that AD is congruent to EB. I dont know where to start. Please help me.

Click here to see answer by Mathtut(3670)

Question 175013: I am a 10th grade in geometry. Please help me with this proof.
Given: rhombus ABCD, line DEF, line ABF, and E is the midpoint of line DF.
I have to prove that line AD is congruent to line BF.
I marked the diagram marking drawing line DE congruent to line EF.
From this point I dont know where to start. Please help me.
Click here to see answer by Mathtut(3670)

Question 175256: __ __
Given: CK is the perpendicular bisector of AE
Prove: triangle CAK is congruent to triangle CEK
Click here to see answer by gonzo(654)

Question 175443: Given: AB is parallel to DE; AD is parallel to EB
Prove: Triangle BAD is congruent to Triangle DEB
Click here to see answer by Mathtut(3670)

Question 175477: What is the area of an ellipse with the major axis 20 m and the minor axis 10 m?
Round answer to the nearest whole number
Click here to see answer by Alan3354(30993)

Question 175476: What is the approximate area of a segment of a circle with a height 6 m and the length of the chord is 20 m? Round answer to the nearest whole number.
Click here to see answer by nycsub_teacher(90)

Question 175475: a part of a circle bounded by an arc and a chord is a radian,secant,sector or a segment
Click here to see answer by nycsub_teacher(90)

Question 175635: GIVEN: ABCDEF is a regular hexagon
PROVE: triangle ABC congruent to triangle BCD
Click here to see answer by Mathtut(3670)

Question 175611: Hi All,
I'm a HS Senior with my last class in Geometry, I saw a problem similar to mine, but with a different fact to prove...so here it is:

Prove:If an isosceles triangle has an altitude fron the vertex to the base, then the altitude bisects the vertex angle
Given:(triangle)ABC is isosceles; (line) CD is the altitude to base (line) AB

To Prove: (line)CD bisects (angle) ACB

Plan: (this space is blank, what should I write here? It's slightly confusing)

What I do know now is that two sides are congruent, and the altitude creates two right angles. This is all pretty confusing to me, math isn't my strong suit.
Click here to see answer by jim_thompson5910(28593)

Question 175664: How do you prove that triangles are congruent if SAS=SAS
Click here to see answer by Mathtut(3670)

Question 175664: How do you prove that triangles are congruent if SAS=SAS
Click here to see answer by gonzo(654)

Question 175665: Prove the consecutive angles between the parallels of a trapezoid are supplementery.
Click here to see answer by gonzo(654)

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