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

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Geometry: Proofs in Geometry

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Question 163037: A(-2,0) B(0,2) C(2,0) D(0,-2) prove ABCD is equilateral
Click here to see answer by jim_thompson5910(13787)

Question 163332: I need a two-column proof for the following:
PROVE:If a diagonal of a parallelogram bisects an angle of the parallelogram, the parallelogram is a rhombus. (State your plan and give a proof.)
GIVEN:ABCD is a parallelogram with angle 1 congruent to angle 2.
TO PROVE: ABCD is a rhombus.
PLAN: ??????
Thanks in advance...Joanne
Click here to see answer by elima(1433)

Question 163479: given: RON
Prove RO=RN-ON
Click here to see answer by gonzo(654)

Question 163434: Please i really need this answer because i need to pass the quarter test for Geometry. Proofs is what i need help in. Given: What is m<1= 35, m<2= 55 and Prove: line segment PQ is perpendicular to QR. This right angle is bisected by ray S.
Click here to see answer by elima(1433)

Question 163653: Use the Law of Detachment or the Law of Syllogism to determine a conclusion that follows from statements (1) and (2). If a valid conclusion does not follow, write no valid conclusion.
(1) ALL SQUARES ARE RECTANGLES.
(2) IF A QUADRILATERAL IS A RECTANGLE, THEN IT HAS CONGRUENT DIAGONALS.
I must show my work. I don't understand this. Please help.
Thanks
Click here to see answer by Edwin McCravy(2920)

Question 163744: This proof cannot be solved in the traditional two-column proof fashion. It has to be solved in an algebraic manner starting with an equation. Prove this theorem: One exterior angle for a regular polygon is 360/n, where n is the number of sides. Please help!
Click here to see answer by jim_thompson5910(13787)

Question 164726: what are parallel lines

Click here to see answer by edjones(3292)

Question 165076: What are the correct reasons for the following geometric proof?
(I already have the statements, and a few reasons)

Given: AB = 1/4BC and BC = CD
Prove: CD = 4AB

Statements:
1- AB = 1/4BC
2- 4=4
3- 4AB = BC
4- BC = CD
5- 4AB =CD
6- CD = 4AB

Reasons I have come up with:
1- Given
2- Given
3- Reflexive property of equality

Click here to see answer by padmameesala(36)

Question 165289This question is from textbook Geometry
: Given: triangle ABC with coordinates A(0,0);B(a,0); and C(b,c). S is the midpoint of AC and T is the midpoint of BC.
Prove ST=1/2 ABThis question is from textbook Geometry

Click here to see answer by gonzo(654)

Question 165621: I am having trouble with proofs mainly over angles and lines. I am not sure how to practice and get better at them? I just need to know how i can go around and solve it better?
Click here to see answer by elima4(15)

Question 165749: Given: angle ABD is congruent to angle EFH, and angle CBD is the complement of angle ABD, and angle GFH is the complement of angle EFH, then prove that angle CBD is congruent to angle GFH. use a statement reason chart help please
Click here to see answer by Mathtut(3670)

Question 165766: Given:angle ABD is congruent to angle EFH, and angle CBD is the supplement of angle ABD, and angle GFH is the supplement of angle EFH, then prove that angle CBD is congruent to angle GFH. use a statement reason chart please help thank you.
Click here to see answer by Mathtut(3670)

Question 165773: Given: angle ABC and angle CBD form a linear pair, then prove angle ABC and angle CBD are supplmementary use a statement reason chart and for the reasons please use the postulates as reasons thank you.
Click here to see answer by Mathtut(3670)

Question 165755: I need help solving this proof that my teacher had assigned us to do for homework and i am having trouble how to start the proof can you please help me.

__ __ __ __ Given: PQ @ PS; QR @ SR Ð1 @ Ð2 Prove: Ð3 @ Ð4

Click here to see answer by Edwin McCravy(2920)

Question 165849: If a is parallel to b and t is perpendicular to a then tell how t is perpendicular to b
Click here to see answer by midwood_trail(310)

Question 166141This question is from textbook Properties from Algebra and Proof
: complete proof for the following:
26. If 4 - x = 10, then x = -6
This question is from textbook Properties from Algebra and Proof

Click here to see answer by elima(1433)

Question 166138This question is from textbook

: how do i layout the proof. i mean i have an idea of what do do but how do i do it. PLEASE HELP!!
thank you so much.

-samThis question is from textbook

Click here to see answer by Alan3354(6059)

Question 166901This question is from textbook geometry
: the corollary to theorem 4.7 states, "if a triangle is equiangular then it is equiladeral." Write a proof of this corollary.This question is from textbook geometry

Click here to see answer by Mathtut(3670)

Question 167277: I DON'T UNDERSTAND PROOFS AT ALL.
we're doing them in my geometry class and i'm like..
duh.
can't do it.
i dont know the reasons and i dont know how to find anything to get reasons
and i really need help cause i have like a 20 in this class because of stupid proofs...
Click here to see answer by elima(1433)

Question 167329: what is the term geometric mean?
Click here to see answer by Mathtut(3670)

Question 167427: How am I supposed to prove that two angles are congruent? I can see they are congruent Angle 1 and 2 are shorter then angle 3 and 4 but i do not understand how to make that into a proof. the given statement is that angle 1 is congruent to angle 3.
Click here to see answer by Mathtut(3670)

Question 167637: Given: Triangle MLP is isosceles, N is the midpoint of MP
Prove: LN is perpendicular to MP
2 column chart
so far i have done
Triangle MLP is isoscele - Given
ML is congruent to PL- Def. of isosceles triangle
N is the midpoint of MP- Given
MN is congruent to PN- Def. of midpoint
Angle LNM is congruent to Angle LNP- Linear Pair angles are congruent
Triangle LNM is congruent to Triangle LPN- SAS
im not sure if this is right plus i have to find the result
Click here to see answer by gonzo(654)

Question 167643: how do you prove that triangle ABE is isosceles when all your given is rectangle BCED and paralelogram ABCD
Click here to see answer by alexpcah(3)

Question 167941: QUESTION: Prove that the area of a kite is equal to half the product of its diagonals.
I started by stating that ABCD is a kite with AB=AD and CD=CB and E is the intersection of the lines containing the diagonals AC and BD. I showed that AC=AC by the reflexive property. The triangle ABC is congruent to triangle ADC by SSS congruence postulate. THe angle BAE is congruent to angle DAE by corresponding parts of congruent triangles are congruent. The triangle ADE is congruent to triangle ABE by SAS. The line DE is congruent to line BE by corresponding parts of congruent triangles are congruent. The Angle AED is congruent to angle AEB by corresponding parts of congruent triangles are congruent.
I don't know what to do next/ if I am even going in the right direction. Thanks!
Click here to see answer by Edwin McCravy(2920)

Question 168048: derivation of (a-b)^2
Click here to see answer by stanbon(26259)

Question 168164: For Triangle RST and Triangle UVW, Angle R is congruent to Angle U, ST is congruent to VW, and Angle S is congruent to Angle V. I have to explain how I can prove Triangle RST is congruent to Triangle UVW by ASA?
Click here to see answer by gonzo(654)

Question 168296: Can you help me solve (Given: n is odd )(Prove: n^2 is odd)
Click here to see answer by stanbon(26259)

Question 168589: I want to pass my test on Monday and I need help please tutors and thank you.
Given: S is the midpoint of QT, QR is parallel to TU
Prove: triangle QSR is congurent to TSU
Click here to see answer by Edwin McCravy(2920)

Question 168787: Can you solve this proof for me. I tried every thing and could not prove this triangle congruent.
Given: DA is perpendicular to AB, DC is perpendicular to CB, and AB is congruent to CB. Prove: angle CBD is congruent to angle ABD

Click here to see answer by gonzo(654)

Question 168900: What are the importance of proofs?
When will i ever use them in life?
Click here to see answer by checkley77(7035)

Question 169428: I really do not understand proofs.
I was given this question:
Goldbach's conjecture is that every integer greater than 2 can be expressed as the sum of two primes. What would a counterexample for this conjecture be? (or what characteristics would a couterexample have?)
Thank You
Click here to see answer by solver91311(5072)

Question 169651This question is from textbook Discovering Geometry An Invetigative Approach

: How do you figure the angle?What can you mark so it tells you that they are congruent?This question is from textbook Discovering Geometry An Invetigative Approach

Click here to see answer by Mathtut(3670)

Question 169764: FM=FN, KM=HN, EF= GF, DE=HG PROVE DEN=HGM
Click here to see answer by Alan3354(6059)

Question 169937: 1.Describe a condition which assures the diagonal of a parallelogram are congruent?
2.In what most general type of quadrilaterals are opposite angles congruent?
3.Draw a square whose vertices (corner) all lie on the same circle. How is a diameter of the square relate to a diameter( line segment through the center) of the circle.
4. Draw a kite with two right angles that is not a parallelogram. What can you say about the sum of the two interior angle which are unequal?
5. In what most general type of quadrilateral do diagonals bisect each other?
Click here to see answer by stanbon(26259)

Question 169478: Prove that if 'n' is a positive integer, and 'n^2' is even, then n is also even.
Thank You for your help!
Click here to see answer by edjones(3292)

Question 168050: derivative of(a+b)^2
Click here to see answer by Alan3354(6059)

Question 170618This question is from textbook Geometry

: Find the values of x and y.
In equangular triangle ABC, AB = 4x - y, BC = 2x + 3y, and AC = 7.This question is from textbook Geometry

Click here to see answer by Mathtut(3670)

Question 170803This question is from textbook McDougal Littell GEOMETRY

: How in the WORLD do you do this?!!This question is from textbook McDougal Littell GEOMETRY

Click here to see answer by Alan3354(6059)

Question 171263This question is from textbook Geometry
: I have tried many approaches. Still i cant find the answer. Your help is greatly appreciated.
THANK YOUThis question is from textbook Geometry

Click here to see answer by Mathtut(3670)

Question 171290This question is from textbook Geometry Concepts and Skills
: if line ab is congruent to line ae and angle acb is congruent to angle ade angle b is congruent to angle eThis question is from textbook Geometry Concepts and Skills

Click here to see answer by Mathtut(3670)

Question 171690: what does reflexive mean, can i get an example?
Click here to see answer by jim_thompson5910(13787)

Question 171791This question is from textbook geometry

: I need help on page 130 and problem number 3 i tried over and over and i cant figure it outThis question is from textbook geometry

Click here to see answer by Mathtut(3670)

Question 172105: I don't know exaclty how to do proofs. what should I do?
Click here to see answer by Alan3354(6059)

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