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

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Tutors Answer Your Questions about Geometry proofs (FREE)


Question 51742This question is from textbook Geometry
: Write a two-column proof
Given: G is between F and H
Given: H is between G and J
Prove: FG + GJ == FH + HJ
I have the given and FG + GH = FH and GH + HJ = GJ because of addition of line segment.
Where do I go from there
This question is from textbook Geometry

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Question 52048: How do i prove the characterization of the internal angle bisector theorem: Let (P) be in the interior of an angle with arms L1 and L2 then (P) is on the angle bisector if and only if d(P,L1) = d(P,L2)
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Question 52259: what do noncollinear and noncoplanar mean?

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Question 52288: Given: 3(2x-4) = 5x+2
? : 6x-12 = 5x+2
? : x-12 = 2
? : x=14
Given: 4x+8 = 2x-12
? : 2x+8 = -12
?: 2x = -20
?: x = -10
THANX IN ADVANCE!!

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Question 52244: How do I proof that ALL Right Angles Are Congruent?
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Question 52244: How do I proof that ALL Right Angles Are Congruent?
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Question 52484: How do i prove that given triangle ABC with the altitude from B of the same length as the altitude from C, then the triangle must be isosceles.
I can prove this question without it saying altitude that is where i am confused.
thank you
Nadia

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Question 52839: 2.false
3.false

4.false
5.true

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Question 53372: Hi i've been trying to solve this question for a couple of days but I just cant seem to be able to figure it out. The vertices of a triangle are
A(-3,1,2), B(1,-3,-1), and C(3,-1,-1)verify that the triangle is a right-angled triangle.

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Question 53743This question is from textbook prentice hall geometry
: having trouble solving proof problems. page 71 #10
WRITE A PROOF
ANGLE ABC IS CONGRUENT TO ANGLE ACB.RAY BP AND RAY CP ARE ANGLE BISECTORS OF ANGLE DBC AND ANGLE ECB. PROVE THAT ANGLE CBP IS CONGRUENT TO ANGLE BCP.
This question is from textbook prentice hall geometry

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Question 54032: Prove or disprove by giving a counterexample.
If two medians of a triangle are of the same length, then the triangle is isosceles.

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Question 54034: Use Ceva's Theorem to prove that the external bisectors of two angles of a triangle and the internal bisector of the third angle are concurrent.
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Question 54369: The length of a rectangle is twice as its width. Its area is 6 more than the width. Find the dimension of the rectangle.
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Question 54372: Find three consecutive integers whose squares add to 110.
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Question 54370: The sum of the areas of two squares is 225. If one square is 3 units larger per side then the other, find the sizes of the squares.
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Question 54370: The sum of the areas of two squares is 225. If one square is 3 units larger per side then the other, find the sizes of the squares.
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Question 54378: factor completely.
512x^3-1

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Question 54444: The area of a circle is twice its circumference. What is the area of the circle?
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Question 54441: In a right triangle, one leg is 4 times the other. The hypotenuse squared is 153. what is the area of the triangle?
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Question 54442: A man has a square garden area with a sidewalk 2 feet wide all around it. If the area of the sidewalk plus garden is 196 square feet, what are the dimensions of the garden area?
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Question 54440: Find two consecutive numbers such that the sum of their squares is 35 more than twice the square of the smaller.
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Question 54376: In a right triangle, one leg is twice the other leg, and the area is 9. How long is the hypotenuse?
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Question 54375: In a right triangle, one leg is 3 units longer than the other leg. The aquare of the hypotenuse is 89. What is the are of the triangle?
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Question 54489: Factor completely.
16+2x^3y^3

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Question 54371: Find two consecutive even integers whose squares add to 164.
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Question 54488: x^9-y^9
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Question 54487: Factor:
(a+b)^3+8

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Question 54569This question is from textbook Geometry
: Could someone explain the difference between the Substitution property and the Transitive property? If you state that the measure of angle "A" is equal to 90 degrees, and the measure of angle "B" is equal to 90 degrees, then the measure of angle "A" = measure of angle "B" is proved by which property?This question is from textbook Geometry

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Question 54373: A positive number is three more than twice another number. Their product is 10 more than the square of the smaller number. Find the numbers.
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Question 54898This question is from textbook Roads to Geometry
: The problem is: The area of a rhombus is one-half the product of the lengths of its diagonals.
I know the answer as with the previous problem, I just do not know how to go about writing a proof for this.
Thank You
This question is from textbook Roads to Geometry

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Question 54895This question is from textbook Roads to Geometry
: The question in the text is: The area of a trapezoid is the product of its height and the arithmetic mean of its bases.
I know what the answer would be, a general formula. I just dont know how to go about getting a written proof for the problem.
Thank you
This question is from textbook Roads to Geometry

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Question 54930This question is from textbook
: Determine whether statement (3) follos from statements(1) and (2) by the Law of Detachment or the Law of Syllogism. State which law.
(1) If a whole number is even, the its square is divisible by 4.
(2) The number I am thinking of is an even whole Number
(3) The square of the number I am thinking of is divisble by 4.
(1) If a football team win its homecoming game, the Conrad will attend the school dance the following Friday.
(2) Conrad attends the school dance on Friday.
(3) The football team won the homecoming game.
This question is from textbook

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Question 55262: Please give me an example proof where you use the reflexive property(a=a) correctly.
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Question 55162This question is from textbook Geometry
: How do you do this problem?
This question is from textbook Geometry

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Question 57030This question is from textbook
: Given: L is the midpoint of line JN, line PJ is congruent line QN, line PL is congruent line QL, angle PKJ and angle QMN are right angles
Prove: triangle PKJ congruent triangle QMN
This question is from textbook

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Question 57180: Given: trianle MGR is an isoceles triangle with vertex angle MGR
K is the midpoint of segment MR
Prove triangle MGK is congruent to triangle RGK

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Question 58317: Prove that the diagonals of a parallelogram bisect each other.
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Question 58347: Directions: Set up and complete a proof of the statement.
If a triangle is isosceles, the triangle formed by its base and the angle bisectors of its base angles is also isosceles.

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Question 58867: 4. Prove that the sum of the interior angles of a triganle equals 180 degrees without using that theorem.
Given: line r is parrel to line s
Prove: m<1 + m<2 + m<3 = 180 degees
http://img244.imageshack.us/img244/7227/photo18ti6.jpg

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Question 59934: Write a coordinate proof (( ^ = Triangle)) ((~ = congruent to))
Given--> Coordinates of TRIANGLE[^]NPO and ^NMO
Prove--> ^NPO ~ NMO
y
P(0,2h)|\
| \
| \N(h,h)
| / \
O(0,0) |/___\M(2h,0)__x
^PNO is same shape of triangle as ^MNO i just didn't no how to draw it.
My Proof so far--
Statements | Reasons
1) Coordinates|
of ^NPO & ^NMO| 1) Given
2)Do i need to| 2) Reflexive Property
prove NO~NO? |
3) NO bisects | 3) Definition of an angle bisector?
4)^NPO & ^NMO | 4) Distance formula
have same |
lenght |
5) ^NPO~^NMO | 5) SSS congruence postulate
--^what am i doing wrong?

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Question 59941: I need to prove that verticle angles are congruent.
They gave me a diagram that shows 2 intersecting lines .
the < on the left it labeled 1
the < on the right is labeled 3.
and the < on the top is labeled 2.

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Question 60395: Help!!! I dont understand proofs at all-can you tell me some tricks???
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Question 60904: If a line through the center of a circle is perpendicular to a chord, then the line also bisects the chord.
I have some work done with a drawing on sketchpad, but I am not sure where to even start with writing my proof. They make no sense to me since I have not had a good teacher to teach me proofs. Thank you

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Question 62185This question is from textbook elementary geometry
: I can't seem to figue out a 2 column proof for C.4.4.2: The diagonols of an isosceles trapezoid are congruent.This question is from textbook elementary geometry

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Question 62347: please help me slove this proof problem ---> "Prove that the exterior vertex angel is congruent to the central angle of a regular ploygon. [using congruence and or equal angle measure relationships, not by formula]
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