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

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Question 1072980: Angle cab is a right angle and angle dab is 45 degrees. Write a subs traction problem

Click here to see answer by Alan3354(69443)

Question 1073222: Given- Line AB is parallel to line DE
Prove- Triangle BAC is similar to Triangle EDC
I'm sorry but I don't know how to show the actual triangles for the proof however if you may be able to help me out it would be greatly appreciated
Click here to see answer by ikleyn(53763)

Question 1073648: Given Triangle ABC is a right triangle then prove that a^2+b^2=c^2
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Question 1073988: Prove that pq and rs are parallel line if p(1,5) q(4,2) r(1,9) s(7,3)
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Question 1074569: Triangle ABC has vertices A(-3,4), B(5,8), and C(6,-3). Find the equation of the medians from vertices A and B.
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Question 1074839: Given Angle ASU is 90 degrees. Given VST is 37 degrees and AST is a straight line.
Solve for Measure of angle USV.
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Question 1074839: Given Angle ASU is 90 degrees. Given VST is 37 degrees and AST is a straight line.
Solve for Measure of angle USV.
Click here to see answer by josgarithmetic(39799)

Question 1075049: Determine the equation of the right bisector of the line segment joining C(-3,5) and D(3,2).
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Question 1075052: For the triangle with vertices P(-2,0), Q(4,6) and R(5,-3), find the equation for the median from P.
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Question 1075109: How to prove the statement " If a parallelogram has a circumscribed circle, then it is a rectangle " and its converse " If a parallelogram is a rectangle, then it has a circumscribed circle ".
Click here to see answer by ikleyn(53763)

Question 1075104: I need to find two addition postulates. Below are the other given values.
Given:ABC=EBD
Reflection: m∠CBE=m∠CBE
Equal Angles: m∠ABC+m∠CBE=m∠EBD+m∠CBE
Addition Postulate: ?
Addition Postulate: ?
No other information is given except for the picture of the angles with the letters A,B,C,E,D. I do not understand how to find the Addition Postulates. Can someone please help?
Click here to see answer by addingup(3677)

Question 1075106: How to prove if a parallelogram is a rectangle, then its diagonals are congruent, and in that case the diagonals bisect each other.

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Question 1074982: Write a paragraph proof for the figure and information given below. (Hint: Show that the triangles are congruent by proving that the triangles� sides are congruent (SSS postulate).
https://lh3.googleusercontent.com/t_TGYnufLqP9tGTDMjGLUOd16Vp19vs1iJOCqJ7YnfLZgfptNOEThayO5qbEE-oBL6Th=s170
Click here to see answer by solver91311(24713)

Question 1075229: Please help me with the following proof. Thank you!
How to prove statement "If a rectangle is a square, then its diagonals are perpendicular" and its converse " If the diagonals of a rectangle are perpendicular, then the rectangle is a square"
Click here to see answer by KMST(5347)

Question 1075360: Write a proof that shows vertical angles are congruent.
Note: You cannot use the Vertical Angle Theorem as your proof.
Use either a paragraph or two-column proof.
Click here to see answer by Boreal(15235)

Question 1075375: Find the flaw in the following argument purporting to construct a rectangle. Let A and B be any two points. There is a line l through A perpendicular to line AB (proposition 3.16) and, similarly, there is a line m through B perpendicular to line AB. Take any point C on m other than B. There is a line through C perpendicular to l- let it intersect l at D. Then ABCD is a rectangle.
Proposition 3.16: For every line l and every point P there exists a line P perpendicular to l.
Click here to see answer by KMST(5347)

Question 1075873: Solve via direct proof:
n^5 - 64n^3 - n^2 ∈ Θ (n^5)
I'm not exactly sure what to do. I factored the left side:
n^2 (n^3 - 64n - 1)
and the right:
Θ (n^2)(n^3)
to get:
n^2 (n^3 - 64n - 1) ∈ Θ (n^2)(n^3)
What do I do now?
Also, is there a paid tutor online that could help me with a few others (that are even more difficult?) ~J
Click here to see answer by ikleyn(53763)

Question 1076204: Let ABC be a triangle. We construct squares ABST and ACUV with centers O_1 and O_2, respectively, as shown. Let M be the midpoint of BC.
(a) Prove that line BV and lineCT are equal in length and perpendicular.
(b) Prove that line O_1M and line O_2M are equal in length and perpendicular.
https://latex.artofproblemsolving.com/6/0/a/60a3c441dce5aeaefa28343e595b787aa82c6b61.png
Click here to see answer by ikleyn(53763)

Question 1076951: Let A, B, and C be three points on the curve xy = 1 (which is a hyperbola). Prove that the orthocenter of triangle ABC also lies on the curve xy = 1.
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Question 1078122: This is a Proving question for Analytical Geometry.
Prove analytically that the vertex and the midpoints of the three sides of an isosceles triangle are the vertices of a rhombus.
Thank you for taking your time to answer.
Click here to see answer by rapture(86)

Question 1078596: Write a two-column proof for the following information.
Given: M is the midpoint of CD; CM = 5x � 2; MD = 3x + 2
Prove: x = 2
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Question 1079028: Prove that the sum of all three reflex exterior angle is always 900�.
Click here to see answer by Edwin McCravy(20081)

Question 1079219: uyttiuy
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Question 1079685: Answer not submitted
A model rocket is launched and follows the path of a parabola for 10 seconds until it lands.
At which time would the rocket's height be neither increasing or decreasing?
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Question 1079704: Given: Right triangle RST with hypotenuse ST and altitude RU
Prove: (RS)^2 + (RT)^2 = ST^2
Click here to see answer by Edwin McCravy(20081)

Question 1079704: Given: Right triangle RST with hypotenuse ST and altitude RU
Prove: (RS)^2 + (RT)^2 = ST^2
Click here to see answer by ikleyn(53763)

Question 1079691: Let BAC be a right triangle. O is a point on side AC. D and E are points on side BC. AD is a line and OE is a line. DA intersects BO at point F. ADC is a right triangle. BOE is a right triangle.
Given AB = OA and OA equals CO, how do I calculate OF/OE?
This is so hard, my teacher said she doubts anyone can solve it. ;(
Click here to see answer by jim_thompson5910(35256)

Question 1080010: Chord AB has the same length as the radius of the circle in which it is drawn. Endpoints of a chord AB are points of tangency of two lines to this circle. These two tangents intersect each other at point C. What is the measure of angle ACB?
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Question 1080245: Give proof that this is true:
The angles that lie on the same base in a isosceles trapezium are equal
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Question 1080468: Given:
Line segment UW bisects
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Question 1080893: in parallelogram RSTW, diagonals RT and SW intersect at point A. If SA = x+2 and AW = 3x-42, what is the length of SW? I've gone over everything I could to solve it, but I don't get the answer I need.
Click here to see answer by Boreal(15235)

Question 1081439: Thank you for your help in advance.
Choose a proof to complete from the options below.
Use either a Two-column Proof, Paragraph Proof, or Flow Chart Proof to complete your work. Be sure to include all logical steps if you include a picture or drawing.
Prove the opposite angles of a parallelogram are congruent.
Prove the base angles of an isosceles triangle are congruent.

Click here to see answer by MathLover1(20855)

Question 1082204: Circle A and B lie inside the biggest circle. The two small circles are tangent to the largest circle and to each other. The radius of circle A is and the radius of circle B is 4. Find the sum of the circumferences of the three circles.
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Question 1082353: if m
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Question 1082410: Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the appropriate geometric figures.
Click here to see answer by Edwin McCravy(20081)

Question 1082292: Look at the figure shown below.

A student made the table below to show the steps to prove that DC is equal to EC.
Statements Justifications
AC = BC
Given
m∠ EAC = m∠ DBC
Given
m∠ ACD = m∠ BCE
Given
m∠ ACE = m∠ ACD + m∠ DCE
Angle Addition Postulate
m∠ BCD = m∠ BCE + m∠ DCE
Angle Addition Postulate
m∠ BCD = m∠ ACD + m∠ DCE
Substitution
DBC ≅ EAC
ASA postulate
DC = EC
CPCTC
Provide the missing statement and justification in the proof.
Using complete sentences, explain why the proof would not work without the missing step.
Click here to see answer by solver91311(24713)

Question 1082517: Circle A and B lie inside the biggest circle. The two small circles are tangent to the largest circle and to each other. The radius of circle A is 6 and the radius of circle B is 4. Find the sum of the circumferences of the three circles.
Click here to see answer by ikleyn(53763)

Question 1082649: Two isoscales triangles ABC and DBC are situated o opposite side of BC. Prove that AD bisects BC perpendicularly.
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Question 1082718: Triangle ABC with vertices (-J,0) (0,K) (L,0) and midpoints M,N,and O of the line segments Ab, BC, and AC.
Prove the perimeter of triangle MNO is one half the perimeter of triangle ABC.
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Question 1083050: find the true conjecture for the following table under x 0,1,2,3 under y 1,0-1,-2
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Question 1084322: write a proof.
Given: Ab times BE= CB times BD
Prove: triangle ABC~ triangle DBE
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Question 1084969: Lines MN and PQ are parallel. Lines RS and TV intersect them.

Which statements are true about these lines? Check all that apply.
Click here to see answer by Fombitz(32388)

Question 1085376: Which of the following statements is true and would show that the 4 points are the vertices of a parallelogram? A. DA = AB = BC = CD = B. AB = CD = ; DA = BC = C. DB = ; AC = D.
Click here to see answer by ikleyn(53763)

Question 1085504: http://157.233.51.52/Library/00001027_106_A1.gif
Click here to see answer by Alan3354(69443)

Question 1085664: Hello! I am having a tough time solving this problem. It is: Find the true conjecture for the following table. X= 0,1,2,3,4 and y= 3,2,1,0,-1. I know that it starts as y=x+3, then y=x+1, then y=x-1, y=x-3, y=x-5. I know that y for the next set (if given) would be y= x-7. You basically subtract 2 each time, right? I just don't know how to do put this into an equation. Could you please help?
Thank you! Ashley
Click here to see answer by MathLover1(20855)

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