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

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Question 201493: two angles are complementary. one angle is 12 degree larger than the other. using two variables x and y, find the size of each angle by solving a system of equations.
Click here to see answer by nerdybill(6948)

Question 201650: Given:B is the midpoint of AC
Prove:AC =2AB
Click here to see answer by stanbon(57219)

Question 201650: Given:B is the midpoint of AC
Prove:AC =2AB
Click here to see answer by solver91311(16868)

Question 201874: Have a triangle (JKL) with J as point of triangle with a line going down to line K L and the point on the line where it meets is M .the angles created at M are right angles. The given is that angle KJM is equal to angle LJM and line JM bisects line KL. How do I write a 2 column proof for tringle JKL as an isosceles.
Click here to see answer by Theo(3458)

Question 201873: Have a triangle (JKL) with J as point of triangle with a line going down to line K L and the point on the line where it meets is M .the angles created at M are right angles. The given is that angle KJM is equal to angle LJM and line JM bisects line KL. How do I write a 2 column proof for tringle JKL as an isosceles.
Click here to see answer by Theo(3458)

Question 202665: ) For sets A and B, determine whether A = B, A is a subset of B, or B is a subset of A

A = {x| x є N and 13 < x < 20}
B = {14, 15, 16, 17, 18}

Click here to see answer by jsmallt9(3296)

Question 202822: I would appreciate help with this, I am on the SECOND semester of this class, due to this proof and I am about to run out of time. I have submitted this 4x and each time it is wrong. Please help me out, thanks!
Prove: If the base angles of a triangle are congruent, then the triangle is isosceles.

Given: Triangle BAC with angle B = angle C
To Prove: Triangle is isosceles.
Construction:
Draw a perpendicular line from vertex A on side BC which meets side BC at L.

Click here to see answer by stanbon(57219)

Question 202818: How do you prove the base angles of an isoceles trapezoid are congruent?
Click here to see answer by jsmallt9(3296)

Question 199566: Please help me with this proof:
Given circle O with diameters AB and DC
Prove triangle AOC is congruent to triangle DOB
Click here to see answer by jsmallt9(3296)

Question 202921: I do I prove triangle BGE is congruent to triangle to DGE. I thought the answer was ASA. I was wrong. Is it SAS. What is SAS?
Click here to see answer by RAY100(1637)

Question 200593: If 2 chords of a circle intersect at a point outside the circle, then prove that the product of the two segments of one chord is equal to the product of the two segments of the other.
Click here to see answer by psbhowmick(529)

Question 204123: Given a triangle ABC with an altitde AD and sides AB and AC measuring 5 units, prove that AD bisects BC.
Click here to see answer by RAY100(1637)

Question 204307: Given: C is on the perpendicular bisector of segment AB
Prove: Prove that triangle ADC is congruent to triangle BDC
C
/|\
/ | \
/ | \
A/___|___\B
D
Click here to see answer by RAY100(1637)

Question 204861: Prove: If a*c = b*c and c ? 0, then a = b
1| a*c = b*c
2| a*c*(1/c) = b*c*(1/c)
3| a*[c*(1/c)] = b*[c*(1/c)]
4| a*1 = b*1
5| a = b
Then the question is
Choose the reason for line 1 of the proof.
Identity Property for Multiplication
Associative Property for Multiplication
Property of Reciprocals
Multiplication Property of Equality
Given

Click here to see answer by jim_thompson5910(28476)

Question 205407: Proof B

This task is a geometric proof, and you will need to develop logical statements that are supported by reasons. Support each statement with a reason. * i am going to write out the triangle since it wont let me draw it on here. Help me prove triange AGC is isosceles.......?
Draw a triangle with a vertical line down the middle and a horizontal line not necessarily in the middle. Label the vertices of the triangle (starting at the lower left vertex) A,G,C. Label the midpoint of line segment AC (which is the base of the triangle) F. Label the left point of the horizontal line (inside the triangle) B and the right point of the horizontal line D. Now label the point where GF and BD meet as E.
Now that you have this, the given info is: Triangle AGC; Line segment GB is congruent to line segment GD; Angle BGE is congruent to Angle DGE; Line segment GF is perpendicular to line segment AC.
How do I prove the triangle is an Isosceles?

Click here to see answer by Edwin McCravy(8879)

Question 206347: Describe a pattern in the sequence of numbers.

0,1,4,9

predict the next number.
Click here to see answer by stanbon(57219)

Question 206726: {3} is a subset of {1, 2, 4, 5, 6}?
Click here to see answer by stanbon(57219)

Question 207323: I would like some help with this one,
Given the diagram below, find a) P ∩ Q and b) P U Q

Venn Diagram two circles with A D C inside the first circle to the left
and C, F, G to the right circle
and B, E in the middle of the combined circles
both circles is enclosed in a rectangle, with U and P at the left and Q and H to the right inside the rectangle and outside the circles
Click here to see answer by vleith(2825)

Question 207598: The question is at this blog http://situpirelality.blogspot.com/
Please help me prove why DEFh is a parallelogram and why BF=DG and CH=GE
The diagram is at my blog as I cannor draw it out
Thanks
Click here to see answer by Edwin McCravy(8879)

Question 207420: Please help me prove that DEFH is a parallelogram and why BF=DG and CH=GE
AD=DC
AE=EB
F and H are the midpoints of BG and CG respectively
The diagram is at the website: http://situpirelality.blogspot.com/
(THE FIRST POST)
Thank You
Click here to see answer by Edwin McCravy(8879)

Question 207719: What is the counter example of "The sum of any 2 odd numbers is even?"
Click here to see answer by jim_thompson5910(28476)

Question 207728: What is the counter example of "The product of a number (n-1) and number (n+1) is always equal to n^2-1?"
Click here to see answer by jim_thompson5910(28476)

Question 209023: Prove: If an isosceles triangle has an altitude from the vertex to the base, then the altitude bisects the vertex angle.
Given: Triangle ABC is isosceles; Line segment CD is the altitude to the base AB
Could you help me solve this 2-column proof by using statements and reasons please?

Click here to see answer by Edwin McCravy(8879)

Question 209154: prove that: b-a=b+(-a)
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Question 209812: prove that any two right angles are congruent

Click here to see answer by RAY100(1637)

Question 211409: Given: angle 1 and angle 2 are supplementary, and angle 3 and angle 4 are supplementary, angle 2 and angle 3 are congruent.
Prove: angle 1 and angle 4 are congruent.
HELP! i'm not sure of the two collum proofs and the Thereoms to go with it.
Click here to see answer by RAY100(1637)

Question 210553: Tell whether each statment is true or false. Then write the converse and tell whether it is true or false.
If ,then .
Note: I understand what the converse of this statement is, and I know the answer is false, but I cont comprehend why this converse would be false.
Click here to see answer by engchunh(1)

Question 212632: If ray AB and ray CD intersect, then segment AB and segment CD intersect. How is this statement false?
Click here to see answer by vleith(2825)

Question 212913: if b is the mid point of ac and c is the mid point of bd, where a,b,c,d lie on a straight line, say why ab=cd?
Click here to see answer by HyperBrain(694)

Question 213194: Given: Angle NPR is a right angle
__ ___
WE is perpendicular to ET
Angle SPR is congruent to angle XET
Conclusion?

I can email you a copy of the picture it just won't let me copy and paste it. Thanks
Click here to see answer by Edwin McCravy(8879)

Question 214292: how do you do proofs?

Click here to see answer by vleith(2825)

Question 214429: Given: in ΔXYZ, ∠XYZ is a right angle.
Prove: ∠YXZ and ∠YZX are complementary.
Click here to see answer by solver91311(16868)

Question 214687: what do geometric proofs prove?
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Question 215605: Hi - another question we have is "A line passing through the mid-point of one side of a triangle will passt through the mid point of a second side if and only if it is parallel to the third side of the triangle". We think it has to deal with extending lines to make a quadrilateral and then using congruent triangles...but again we are not sure where to go next...
Thanks
Click here to see answer by stanbon(57219)

Question 216014: On a formal proof how do I choose which statement to write first. (besides the given)
Click here to see answer by vleith(2825)

Question 216032: I really need help with these!! I cannot find the indicated angle measurements for the angles.
Click here to see answer by stanbon(57219)

Question 216261: What is a counterexample for the following statement? If a number is real then it is irrational.
Click here to see answer by vleith(2825)

Question 216778: If two points are noncollinear, then a right triangle contains one obtuse angle? true or false? and why would it be false?
Click here to see answer by Alan3354(30959)

Question 218341: What is the side splitting theorem proof?
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Question 219099: finding angle measures
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Question 219394: write a two-column proof
given <1 and <2 form a linear pair
<2 and <3 are supplementary
proven <1=<3
Click here to see answer by susanaramya(12)

Question 219819: Moody wants to find the height of the tallest building in his city. He stands 332 feet away from the building. There is a tree 34 feet in front of him, which he knows is 20 feet tall. How tall is the building to the nearest foot?
Click here to see answer by checkley77(12569)

Question 220356: what do you need to do in oreder to solve a proof
Click here to see answer by chibisan(131)

Question 220481: 3x+9y=-7
Click here to see answer by Alan3354(30959)

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