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Geometry: Proofs in Geometry

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Question 143397This question is from textbook amscos mathematics b
: givin am+cn
Mb=Nd
Prove ab+cdThis question is from textbook amscos mathematics b

Click here to see answer by solver91311(5072)

Question 144282: Given: angle AOC and angle COB are a linear pair.
Prove: angle AOC and angle COB are a supplementary.
Do i just need to say that they are supplementary because they are linear pairs? Does that mean the same thing?
Click here to see answer by solver91311(5072)

Question 144172: Given: triangle ABC A(-1,2) B(7,0) C(1,-6) and a point D(4,-3) on segment BC
Prove: segment AD is the perpendicular bisector of segment BC
Click here to see answer by Edwin McCravy(2920)

Question 144417: Given: A(1,6), B(7,9), C(13,6), D(3,1).
Prove: ABCD is a trapazoid
Click here to see answer by shahid(44)

Question 140748: in rhombus ABCD, AB = 2x + 3 and BC = 5x find x

Click here to see answer by shahid(44)

Question 145856: In triangle ABC, the length of the altitude to side AB is 6 inches, and the measures of angles A and B are 45 and 60 degrees, respectively. What is the area of triangle ABC? express as a deimal to the nearest tenth.

Click here to see answer by vleith(1977)

Question 145854: If there is a right triangle ABC and AB is 6 cm, angle A is 15 degrees, angle B is 90 degrees, and angle is 75 degrees? What is the area in simplest radical form?
Click here to see answer by nerdybill(2446)

Question 146818: Given A(1,-1), B(3,3), C(4,5). Prove that A,B,C are collinear.
How do I prove this? I can't find any formula for this and the only thing I did was graphing the points. Can the graph prove this alone?
Click here to see answer by jim_thompson5910(13787)

Question 146947This question is from textbook

: on page 145This question is from textbook

Click here to see answer by Alan3354(6059)

Question 146964This question is from textbook geometry

: Given:AB parallel to CD; BF bisects angle ABE; DG bisects angle CDB
Prove: BF is parallel to DGThis question is from textbook geometry

Click here to see answer by mangopeeler07(450)

Question 147137: 3(3x – 7) = 6 if this is the give in a two columb proof, then what is the rest of the answer
Click here to see answer by jim_thompson5910(13787)

Question 147218: what are the examples of basic postulate?
Click here to see answer by vleith(1977)

Question 147105: pleaseee help!

You have recently seen that there is no generally reliable SSA criterion for congruence. If the angle part of such a correspondence is a RIGHT angle, however, the criterion IS reliable. Justify this so-called hypotenuse-leg criterion (which is abbreviated HL.)
Click here to see answer by mangopeeler07(450)

Question 147273: Triangle ABC is isosceles with AB congruent to AC. Extend segment BA to a point T (in other wordds, A should be between B and T.) Prove that angle TAC must be twice the size of angle ABC. Angle TAC is called one of the exterior angles of triangle ABC.
Click here to see answer by Nate(3495)

Question 147270: Given two parallel lines cut by a transversal, prove that a pair of alternate interior angles are congruent.
Click here to see answer by Nate(3495)

Question 147491: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q be the point outside ABCD that makes triangle BCQ equilateral. Prove that triangle APQ is also equilateral.

Would APQ be equilateral if ABCD was a parallelogram?

I happen to be very, very lost in this specific problem. I understand that it is equilateral, but unfortunately, I don't know how to prove it! Thanks!
Click here to see answer by vleith(1977)

Question 147489: Can two of the angle bisectors of a tirangle intersect perpendicularly? Explain.
(i think the answer is yes, for a right triangle? but i don't know why)
Click here to see answer by vleith(1977)

Question 147595: A trapezoid is a quadrilateral with exactly one pair of parallel sides. if the non-parallel sids have the same length, the trapezoid is isosceles. Make a diagram of an isosceles trapezoid whose lengths are 7, 10, 19, and 10 inches. find the altitude of the trapezoid, (the distance that separates the parallel sides, and then find the enclosed area.)

please help me on this one!
Click here to see answer by scott8148(3382)

Question 147598: The parallel sides of trapezoid ABCD are AD and BC. Given that sides AB, BC, and CD are each half as long as side AD, find the size of angle D.
Click here to see answer by Fombitz(2113)

Question 145456: the illustration of "space contains at least 4 noncoplanar points".
Click here to see answer by Alan3354(6059)

Question 147959: 1. Suppose the slope of line AB is zero. What is the slope of Line CD given that
a. Line CD is parallel to AB?
b. Line CD is perpendicular to AB?
2. Suppose the slope of Line LT is undefined. What is the slope of Line RD given that
a. Line RD is parallel to line LT?
b. Line RD is perpendicula to Line LT?
3. Tell whether each statement is always, sometimes , or never true.
a. The slope of the line with positive x- and y-intercepts is positive.
b. The slope of the line with negative x- and y-intercepts is negative.
4. Slopes are used in the planning and construction of the roof of a building. The slope of the roof is called pitch. A carpenter must know the pitch of a roof to cut rafters of the correct lenght.
A. The rise of the roof is 14 ft. and the span is 28 ft. Find the pitch.
B. The pitch of the roof Mang Itoy is building if 5 to 12. Half of the spam id 16 ft. What is the rise?
C. About how long should a rafter for the roof decribed in letter A be?
Click here to see answer by stanbon(26259)

Question 147592: Suppose that triangle ABC has a right angle at B, that BF is the altitude drawn from B to AC, and that BN is the median drawn from B to AC. Find angles ANB and NBF, given that angle C is 42 degrees.

Click here to see answer by orca(409)

Question 147590: An isosceles trapezoid must have two pairs of equal adjacent angles. State and prove the converse.
I know what the converse is, but i dont know how to prove it.
Click here to see answer by orca(409)

Question 147478: given square ABCD, let P and Q be the points outside the square that make triangles CDP and BCQ equilateral. Prove that triangle APQ is also equilateral.
Click here to see answer by orca(409)

Question 147483: Draw a triangle ABC, and let AM and BN be two of its medians, which intersect at G. Extend AM to the point P that makes GM = MP. Prove that PBGC is a parallelogram.
Click here to see answer by orca(409)

Question 148059: 1) The points A(1,6), B(6,6), C(4,3), D(-1,3) are vertices of a quadrilateral. Prove that the quadrilateral is a parallelogram. (Show that line AB ll line DC and line AD ll BC)
2) The points T(-1,4), E(2,4), and D(2,-1) are vertices of a triangle. Prove that the triangle is a right triangle. (Find the slopes of line TE, line ED and line TD.)
3) The points L(3,1), O(2,-3), V(-2,-2) and E(-1,2) are vertices of a rhombus. Show that the diagonal are perpendicular.
4) Solve y = mx + b for x. Use the result to find x in y = 4x – 5 when y = 3.
Click here to see answer by vleith(1977)

Question 148202: Verify the identity.
a)(csc(-t)-sin(-t))/(sin(-t))=cot^(2)t
b)ln cotx= -ln tanx
Click here to see answer by jim_thompson5910(13787)

Question 148202: Verify the identity.
a)(csc(-t)-sin(-t))/(sin(-t))=cot^(2)t
b)ln cotx= -ln tanx
Click here to see answer by mangopeeler07(450)

Question 148653: Find the solutions of the equation that are in the interval [0,2π). Please show steps (especially rearranging the equation to solve it. Thanks for helping me. I know the solution is 7pi/6, 11pi/6, pi/2.
sinb+2cos^(2)b=1

Click here to see answer by Nate(3495)

Question 148679: Find the solutions of the equation that are in the interval [0,2π). Please show steps (especially rearranging the equation to solve it. Thanks for helping me. I know the solutions are 11π/6, π/2 but I just can't
figure out how to isolate to get those solutions. Thanks again.

1) 1-sint=(√3)cost
Click here to see answer by Nate(3495)

Question 148800: how to prove taht the diagnols of a restangle are equal through a practical activity

Click here to see answer by nabla(412)

Question 148912: Verify the identity using Aultiple-Angle Trigonometric formulas.

1a) cos^(4)x-sin^(4)x=cos2x

1b) tanθ+cotθ=2csc2θ
Click here to see answer by Nate(3495)

Question 149643: I'm trying to prove the distance formula for the distance between two points in 3 space. I know in 2-dimensional space how to go about this, but how do I expand it to 3-dimensions? Do I need to go through the Pythagorean theorem twice? Any nudge in the right direction would be most appreciated.
Click here to see answer by vleith(1977)

Question 150303: how do you do it i just dont get it?
Click here to see answer by 2828344(3)

Question 150452: I need help with this proof.
Given: triangle WOZ is congruent to triangle WOY
Prove: XY is congruent to XZ

Click here to see answer by Alan3354(6059)

Question 152832This question is from textbook

: Determine the truth value of the following statement for each set of conditions.
If you are over 18 years old, then you vote in all elections.
You are 19 years old & you vote.
You are 16 years old & you vote.
You are 21 years old & you do not vote.
You are 17 years old & you do not vote.
Your sister is 21 years old & votes.
This question is from textbook

Click here to see answer by nabla(412)

Question 152492: How would you do a geometry proof? I have had geometry and have passed the class, but I would like for you to refress my mind. Also is this free tutoring? If not then I can't do it.
Click here to see answer by nabla(412)

Question 153820: the problem is:
________
M N O P
I am given that MN is equal to OP i have to prove that NP is equal to MO and have to give the steps and reasons. So far I have: 1. MN = OP given
2. OP + ON = NP segment addition
MN + NO = MO
3. MO = NP substitution
But, I think I have missed a step. Have I ?
Click here to see answer by stanbon(26259)

Question 155395: Use paragraph proofs:
Given angle VST is acute,
Prove angle RSV is obtuse
~here is my answer
Given the information, we know that angle vst is acute, and we must prove that angle rsv is obtuse. If we set everything equal to 180 degrees, and angle vst is acute, then angle rsv is obtuse because of subtraction rule. Acute subtracted from 180 in this case leaves an obtuse angle. Therefore angle rsv is obtuse.
If I am WRONG, PLEASE TELL ME A STEP BY STEP WAY TO WRITING THIS PROOF, AND PLEASE GIVE ANSWER!
THANKS!
Click here to see answer by jainenderkapoor(60)

Question 155449: Given: 2/3+n=9-1/4n
Prove:n=20/3
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Question 155451: Given: WX=YZ
Prove: WY=XZ
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Question 155452: GIVEN: AB=BC,AD=DE,BC=AD
PROVE: DE=AB
Click here to see answer by jojo14344(1483)

Question 156457: Given: RS=ST .---------.---------. Prove: RT=2ST R S T What are the Statements and Reasons for this proof?

Click here to see answer by Edwin McCravy(2920)

Question 156638This question is from textbook

: Given: Line segment BD is parallel to line segment AE
Prove: Triangle DCB ~ triangle ECA ?
Statements Reasons
Line segments
BD AE are parallel Given
Angles
CDB CEA, _______________________
CBD, CAE are congruent _______________________
_______________________
Triangles
DCB ~ ECA _______________________
_______________________
I don't know why I have such a problem figuring out proofs, but I do, I think at the angle congruent question they are looking for a theorem, and triangles, I think I need to prove, but I don't how. Can you help me. I am about to graduate in less than 2 weeks, and personally, I am losing my mind over proofs.This question is from textbook

Click here to see answer by stanbon(26259)

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