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

Tutors Answer Your Questions about Geometry proofs (FREE)

Question 446745: Could you please show me how to solve this questions? I need to learn how to do it, I need to see how can I get the answer. I have the formulas but for some reason, I never get the correct answer and it is frustrating for me. I hope you can help me. Thank you.
20: Find the radius of a circle with circumference 4 sqrt(3)(pi).
21: Find the radius of a circle with area (4/9) (pi).
22: What is the circumference of a circle with area 49(pi)?
Click here to see answer by katealdridge(100)

Question 446719: Please, help me, this is very confusing. Richard asked to re-post it with more info; this is all I have. Thanks Richard.
http://www.learningbygrace.org/geom/images/geom_26.3.1,2.jpg
http://www.learningbygrace.org/geom/images/geom_26.3,4.jpg
http://www.learningbygrace.org/geom/images/geom_26.3.5.jpg
Proof:
Statement 1: m Arc RX = 100. Reason 1: Given
Statement 2: m Ang RSX = ____. Reason 2: The measure of an inscribed angle is ½ the measure of the intercepted arc.
Statement 3: m Ang RSX = 50. Reason 3: Substitution
Statement 4: m Ang T = 50. Reason 4: Given
Statement 5: m Ang T = m Ang RSX. Reason 5: Substitution
Statement 6: Ang T = Ang RSX. Reason 6: Definition of congruent angles
Statement 7: RT is a tangent segment. Reason 7: Given
Statement 8: m Ang TRS = _____. Reason 8:An angle formed by a secant and a tangent is ___ the measure of its intercepted arc.
Statement 9: m Ang SXR = ½ m Arc RS. Reason 9:The measure of an inscribed angle is ½ the measure of the intercepted arc.
Statement 10: m Ang TRS = m Ang SXR. Reason 10: Substitution
Statement 11: Ang TRS = Ang SXR. Reason 11: Definition of congruent angles
Statement 12: Triangle RST is similar to Triangle XRS. Reason 12: ___ Similarity Theorem
Figure 1: Segment UX is a diameter, and segment TZ is a tangent. m Arc TX = 50, m Arc XW = 30, and m Arc UV = 20. Note: Ang 8 is Ang XTU, NOT Ang XTV.
Figure 2: PE and PF are tangent segments.
Figure 3: AT is a tangent segment, and AS is a secant segment.
Figure 4: Secants OA and OB and tangent OC are drawn from point O.
Figure 5: RT is a tangent segment, m Ang T = 50, and m Arc RX = 100.

QUESTIONS
19: For the proof given above, what is missing in Statement #2?
20: For the proof given above, what is missing in Statement #8?
21: For the proof given above, what is missing in Reason #8?
22: For the proof given above, what is missing in Reason #12?
Click here to see answer by richard1234(5390)

Question 448087: Could you please help me solve this problem?
Prove that if all the sides of a convex quadrilateral are congruent, then the two pairs of opposite angles are congruent.
Thank you.
Click here to see answer by jim_thompson5910(28696)

Question 448235: please help me solvethis problem: complete the following proof. Given: 2x+5=11 prove: x=3 Proof:

Click here to see answer by richard1234(5390)

Question 448086: Could you please help me solve this problem?
Prove the Median Inequality: If M is the midpoint of side BC of triangle ABC, then AM is less than 1/2(AB+AC).
Thank you.
Click here to see answer by richard1234(5390)

Question 450153: why geometry proofs are importante? how we use them in our real life?
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Question 450573: prove that tangents to a circle at the endpoints of a diamter are paralle. state what is give, proved, and plan of proof. write a two-column proof.
Click here to see answer by Alan3354(31487)

Question 450620: Do this statement make sense or not?
I drew a polygon having two sides that intersect at their midpoints?
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Question 451053: name the property which justifies the following conclusion given: 38+9x conclusion: 3(5+3x)
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Question 451956: I do not completely understand how to make formal proofs. Are there any ways I can get better at it? (i.e. a good website or tips for understanding) I have tried on quizzes but do not seem to understand. Thanks
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Question 452082: The sum of the measures of three of the interior angles of a pentagon is 280. The measure of the fourth angle is three times the measure of the fifth. Find the measure of the fourth angle?
Click here to see answer by pedjajov(51)

Question 452125: prove that the diagonals of rectangle are equal in length,whoes vertices (0,0),(a,0),(b,0),(a,b)

Click here to see answer by solver91311(17059)

Question 452127: show that midpoint of the side of the rectangle are the vertices of rhombus and its vertices are (0,0),(a,0),(0,b),and (a,b)
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Question 452781: Given: H is the midpoint of segment QK
Segment QM is congruent to segment KD
Segment MH is congruent to segment DH
Prove: Triangle QHM is congruent to triangle KHD
Click here to see answer by Love math(28)

Question 453114: Hi I am having trouble with an isosceles proof. I have triangle ABC. AD is perpendicular to BC. I need to prove that triangle ABC is an isosceles triangle.

Given:
< BAD is ~= (congruent) to < CAD
AD is perpendicular to BC
Prove:
triangle ABC is isosceles

I need statements and reasons to explain this.
Click here to see answer by pedjajov(51)

Question 455308: R, S, and T are, respectively, the midpoints of the sides AB, AD, and CD of a square. Prove that DR and ST trisect each other.
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Question 456038: The best reason for statement 3 which is WZ is congruent to XY this proof is
Theorem 6.1. Opposite sides of a parallelogram are congruent .
Theorem 6.2. Opposite angles of a parallelogram are congruent .
Theorem 6.3. The diagonals of a parallelogram bisect each other .
definition of a parallelogram
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Question 457439: can you state all reasons for congruency ?
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Question 458214: what are the ways to be solving proofs?
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Question 458680: Indicate in standard form the equation of the line passing through the given points.
E(-2, 2), F(5, 1)

Click here to see answer by richwmiller(9144)

Question 458678: Find the coordinates of the other endpoint if the midpoint is M(8, 2) and the other endpoint is P(5, 6).

Click here to see answer by robertb(4012)

Question 458712: Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the coordinates of the points of tangency.

Click here to see answer by Alan3354(31487)

Question 458908: If one angle of a triangle is 90°, then the other two add to 90°. how do i prove this?

Click here to see answer by richwmiller(9144)

Question 458789: write a two-column proof.

Given: BC parallel DA , BC congruent DA
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Question 459439: Why are proofs so dumb and hard ?
Click here to see answer by edjones(7569)

Question 459479: Please Help me solve this proof:
Construct a Proof to prove the following:
Given: 2(x-3)= 8
Prove: x = 7
Click here to see answer by rfer(12726)

Question 459500: Please Help me solve this proof:
Given: 2(x-3) = 8
Prove: x = 7
Statements: Reasons:
1.) 2(x-3)= 8 1.) Given
Click here to see answer by Alan3354(31487)

Question 459787: M and N are the midpoints ofandrespectively.
Find the coordinates of M and N
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Question 459481: Please Help me Solve this Proof:
Given: Angle PSU is congruent to Angle PTR
SU is congruent to TR
Prove: SP is congruent to TP
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Question 460236: Given:
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Question 460679: segment BD is congruent to segment BE, and segment BC is congruent to segment BA, what the reason be?
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Question 461510: Consider a nine point circle(Feuerbach's circle, Euler's circle, Terquem's circle). How to prove that nine-point circle bisects a line segment going from the corresponding triangle's orthocenter to any point on its circumcircle.
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Question 461241: What kind of proof organizes information into two distinct categories?
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Question 462057: If O is the midpoint of PQ and OQ≅OR, then ∠1≅∠2.
Use the figure below to prove the statement above.

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Question 462142: How do you prove that there cannot be 2 different lines perpendicular to a given line from a point outside the line. (Using the Exterior Angle Theorem)
Click here to see answer by rwm(914)

Question 462563: Complete the following proof:
1.
B is between A and D. C is between B and D.
2.
AD = AB + BD
3.
BD = BC + CD
4.
AD = AB + BC + CD
Click here to see answer by MathLover1(6801)

Question 462684: Given: 3(x-4)=2x+7
Prove: x=19

Click here to see answer by rfer(12726)

Question 463932: Prove that if two angles are complements of the same angle, then the angles must be congruent. ( Use a paragraph proof ) Given: ∠ 1 and ∠ 2 are complementary. ∠ 2 and ∠ 3 are complementary. Prove: ∠ 1 ≅ ∠ 3
Click here to see answer by Theo(3504)

Question 464010: what is the property of equality for angle 1 = angle 1
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Question 464254: Complete the following proof.
Given:
l | | m
Prove:
<1, <2 are supplementary
Click here to see answer by richard1234(5390)

Question 464262: Hi, I am a student who is taking Geometry for the first time at a summer Geometry Course. As I have never learned geometry before, I am having a difficult time with two collumn proofs. By which I mean, I am not sure how to tell if I am skipping a step, or which step would come next. Which would affect the other collumn, reasons. If you have any advice on how to successfully solve a proof, it would be gratefully appricieated.
Thank you!

Click here to see answer by richard1234(5390)

Question 464484: (a+b)^=^+2ab+b^
Click here to see answer by Alan3354(31487)

Question 464671: The Carlisles borrowed $94,000 to buy their first home. The interest rate on their loan was 7.5% for 20 years. How much interest will they have paid after 20 years?
Click here to see answer by robertb(4012)

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