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Tutors Answer Your Questions about Geometry proofs (FREE)
Question 168164: For Triangle RST and Triangle UVW, Angle R is congruent to Angle U, ST is congruent to VW, and Angle S is congruent to Angle V. I have to explain how I can prove Triangle RST is congruent to Triangle UVW by ASA?: For Triangle RST and Triangle UVW, Angle R is congruent to Angle U, ST is congruent to VW, and Angle S is congruent to Angle V. I have to explain how I can prove Triangle RST is congruent to Triangle UVW by ASA?
Click here to see answer by gonzo(434) |
Question 167941: QUESTION: Prove that the area of a kite is equal to half the product of its diagonals.
I started by stating that ABCD is a kite with AB=AD and CD=CB and E is the intersection of the lines containing the diagonals AC and BD. I showed that AC=AC by the reflexive property. The triangle ABC is congruent to triangle ADC by SSS congruence postulate. THe angle BAE is congruent to angle DAE by corresponding parts of congruent triangles are congruent. The triangle ADE is congruent to triangle ABE by SAS. The line DE is congruent to line BE by corresponding parts of congruent triangles are congruent. The Angle AED is congruent to angle AEB by corresponding parts of congruent triangles are congruent.
I don't know what to do next/ if I am even going in the right direction. Thanks!: QUESTION: Prove that the area of a kite is equal to half the product of its diagonals.
I started by stating that ABCD is a kite with AB=AD and CD=CB and E is the intersection of the lines containing the diagonals AC and BD. I showed that AC=AC by the reflexive property. The triangle ABC is congruent to triangle ADC by SSS congruence postulate. THe angle BAE is congruent to angle DAE by corresponding parts of congruent triangles are congruent. The triangle ADE is congruent to triangle ABE by SAS. The line DE is congruent to line BE by corresponding parts of congruent triangles are congruent. The Angle AED is congruent to angle AEB by corresponding parts of congruent triangles are congruent.
I don't know what to do next/ if I am even going in the right direction. Thanks!
Click here to see answer by Edwin McCravy(2036) |
Question 167643: how do you prove that triangle ABE is isosceles when all your given is rectangle BCED and paralelogram ABCD: how do you prove that triangle ABE is isosceles when all your given is rectangle BCED and paralelogram ABCD
Click here to see answer by alexpcah(3) |
Question 167637: Given: Triangle MLP is isosceles, N is the midpoint of MP
Prove: LN is perpendicular to MP
2 column chart
so far i have done
Triangle MLP is isoscele - Given
ML is congruent to PL- Def. of isosceles triangle
N is the midpoint of MP- Given
MN is congruent to PN- Def. of midpoint
Angle LNM is congruent to Angle LNP- Linear Pair angles are congruent
Triangle LNM is congruent to Triangle LPN- SAS
im not sure if this is right plus i have to find the result : Given: Triangle MLP is isosceles, N is the midpoint of MP
Prove: LN is perpendicular to MP
2 column chart
so far i have done
Triangle MLP is isoscele - Given
ML is congruent to PL- Def. of isosceles triangle
N is the midpoint of MP- Given
MN is congruent to PN- Def. of midpoint
Angle LNM is congruent to Angle LNP- Linear Pair angles are congruent
Triangle LNM is congruent to Triangle LPN- SAS
im not sure if this is right plus i have to find the result
Click here to see answer by gonzo(434) |
Question 167427: How am I supposed to prove that two angles are congruent? I can see they are congruent Angle 1 and 2 are shorter then angle 3 and 4 but i do not understand how to make that into a proof. the given statement is that angle 1 is congruent to angle 3.: How am I supposed to prove that two angles are congruent? I can see they are congruent Angle 1 and 2 are shorter then angle 3 and 4 but i do not understand how to make that into a proof. the given statement is that angle 1 is congruent to angle 3.
Click here to see answer by Mathtut(333) |
Question 167277: I DON'T UNDERSTAND PROOFS AT ALL.
we're doing them in my geometry class and i'm like..
duh.
can't do it.
i dont know the reasons and i dont know how to find anything to get reasons
and i really need help cause i have like a 20 in this class because of stupid proofs...: I DON'T UNDERSTAND PROOFS AT ALL.
we're doing them in my geometry class and i'm like..
duh.
can't do it.
i dont know the reasons and i dont know how to find anything to get reasons
and i really need help cause i have like a 20 in this class because of stupid proofs...
Click here to see answer by elima(1420) |
Question 166901This question is from textbook geometry
: the corollary to theorem 4.7 states, "if a triangle is equiangular then it is equiladeral." Write a proof of this corollary.This question is from textbook geometry
: the corollary to theorem 4.7 states, "if a triangle is equiangular then it is equiladeral." Write a proof of this corollary.
Click here to see answer by Mathtut(333) |
Question 166138This question is from textbook 
: how do i layout the proof. i mean i have an idea of what do do but how do i do it. PLEASE HELP!!
thank you so much.
-samThis question is from textbook 
: how do i layout the proof. i mean i have an idea of what do do but how do i do it. PLEASE HELP!!
thank you so much.
-sam
Click here to see answer by Alan3354(1187) |
Question 165849: If a is parallel to b and t is perpendicular to a then tell how t is perpendicular to b: If a is parallel to b and t is perpendicular to a then tell how t is perpendicular to b
Click here to see answer by midwood_trail(225) |
Question 165755: I need help solving this proof that my teacher had assigned us to do for homework and i am having trouble how to start the proof can you please help me.
__ __ __ __
Given: PQ @ PS; QR @ SR
Ð1 @ Ð2
Prove: Ð3 @ Ð4
 : I need help solving this proof that my teacher had assigned us to do for homework and i am having trouble how to start the proof can you please help me.
__ __ __ __
Given: PQ @ PS; QR @ SR
Ð1 @ Ð2
Prove: Ð3 @ Ð4

Click here to see answer by Edwin McCravy(2036) |
Question 165773: Given: angle ABC and angle CBD form a linear pair, then prove angle ABC and angle CBD are supplmementary use a statement reason chart and for the reasons please use the postulates as reasons thank you. : Given: angle ABC and angle CBD form a linear pair, then prove angle ABC and angle CBD are supplmementary use a statement reason chart and for the reasons please use the postulates as reasons thank you.
Click here to see answer by Mathtut(333) |
Question 165766: Given:angle ABD is congruent to angle EFH, and angle CBD is the supplement of angle ABD, and angle GFH is the supplement of angle EFH, then prove that angle CBD is congruent to angle GFH. use a statement reason chart please help thank you. : Given:angle ABD is congruent to angle EFH, and angle CBD is the supplement of angle ABD, and angle GFH is the supplement of angle EFH, then prove that angle CBD is congruent to angle GFH. use a statement reason chart please help thank you.
Click here to see answer by Mathtut(333) |
Question 165749: Given: angle ABD is congruent to angle EFH, and angle CBD is the complement of angle ABD, and angle GFH is the complement of angle EFH, then prove that angle CBD is congruent to angle GFH. use a statement reason chart help please : Given: angle ABD is congruent to angle EFH, and angle CBD is the complement of angle ABD, and angle GFH is the complement of angle EFH, then prove that angle CBD is congruent to angle GFH. use a statement reason chart help please
Click here to see answer by Mathtut(333) |
Question 165621: I am having trouble with proofs mainly over angles and lines. I am not sure how to practice and get better at them? I just need to know how i can go around and solve it better?: I am having trouble with proofs mainly over angles and lines. I am not sure how to practice and get better at them? I just need to know how i can go around and solve it better?
Click here to see answer by elima4(6) |
Question 165289This question is from textbook Geometry
: Given: triangle ABC with coordinates A(0,0);B(a,0); and C(b,c). S is the midpoint of AC and T is the midpoint of BC.
Prove ST=1/2 ABThis question is from textbook Geometry
: Given: triangle ABC with coordinates A(0,0);B(a,0); and C(b,c). S is the midpoint of AC and T is the midpoint of BC.
Prove ST=1/2 AB
Click here to see answer by gonzo(434) |
Question 165076: What are the correct reasons for the following geometric proof?
(I already have the statements, and a few reasons)
Given: AB = 1/4BC and BC = CD
Prove: CD = 4AB
Statements:
1- AB = 1/4BC
2- 4=4
3- 4AB = BC
4- BC = CD
5- 4AB =CD
6- CD = 4AB
Reasons I have come up with:
1- Given
2- Given
3- Reflexive property of equality
: What are the correct reasons for the following geometric proof?
(I already have the statements, and a few reasons)
Given: AB = 1/4BC and BC = CD
Prove: CD = 4AB
Statements:
1- AB = 1/4BC
2- 4=4
3- 4AB = BC
4- BC = CD
5- 4AB =CD
6- CD = 4AB
Reasons I have come up with:
1- Given
2- Given
3- Reflexive property of equality
Click here to see answer by padmameesala(34) |
Question 163744: This proof cannot be solved in the traditional two-column proof fashion. It has to be solved in an algebraic manner starting with an equation. Prove this theorem: One exterior angle for a regular polygon is 360/n, where n is the number of sides. Please help!: This proof cannot be solved in the traditional two-column proof fashion. It has to be solved in an algebraic manner starting with an equation. Prove this theorem: One exterior angle for a regular polygon is 360/n, where n is the number of sides. Please help!
Click here to see answer by gonzo(434) |
Question 163744: This proof cannot be solved in the traditional two-column proof fashion. It has to be solved in an algebraic manner starting with an equation. Prove this theorem: One exterior angle for a regular polygon is 360/n, where n is the number of sides. Please help!: This proof cannot be solved in the traditional two-column proof fashion. It has to be solved in an algebraic manner starting with an equation. Prove this theorem: One exterior angle for a regular polygon is 360/n, where n is the number of sides. Please help!
Click here to see answer by jim_thompson5910(9166) |
Question 163653: Use the Law of Detachment or the Law of Syllogism to determine a conclusion that follows from statements (1) and (2). If a valid conclusion does not follow, write no valid conclusion.
(1) ALL SQUARES ARE RECTANGLES.
(2) IF A QUADRILATERAL IS A RECTANGLE, THEN IT HAS CONGRUENT DIAGONALS.
I must show my work. I don't understand this. Please help.
Thanks: Use the Law of Detachment or the Law of Syllogism to determine a conclusion that follows from statements (1) and (2). If a valid conclusion does not follow, write no valid conclusion.
(1) ALL SQUARES ARE RECTANGLES.
(2) IF A QUADRILATERAL IS A RECTANGLE, THEN IT HAS CONGRUENT DIAGONALS.
I must show my work. I don't understand this. Please help.
Thanks
Click here to see answer by Edwin McCravy(2036) |
Question 163434: Please i really need this answer because i need to pass the quarter test for Geometry. Proofs is what i need help in. Given: What is m<1= 35, m<2= 55 and Prove: line segment PQ is perpendicular to QR. This right angle is bisected by ray S.: Please i really need this answer because i need to pass the quarter test for Geometry. Proofs is what i need help in. Given: What is m<1= 35, m<2= 55 and Prove: line segment PQ is perpendicular to QR. This right angle is bisected by ray S.
Click here to see answer by elima(1420) |
Question 163332: I need a two-column proof for the following:
PROVE:If a diagonal of a parallelogram bisects an angle of the parallelogram, the parallelogram is a rhombus. (State your plan and give a proof.)
GIVEN:ABCD is a parallelogram with angle 1 congruent to angle 2.
TO PROVE: ABCD is a rhombus.
PLAN: ??????
Thanks in advance...Joanne: I need a two-column proof for the following:
PROVE:If a diagonal of a parallelogram bisects an angle of the parallelogram, the parallelogram is a rhombus. (State your plan and give a proof.)
GIVEN:ABCD is a parallelogram with angle 1 congruent to angle 2.
TO PROVE: ABCD is a rhombus.
PLAN: ??????
Thanks in advance...Joanne
Click here to see answer by elima(1420) |
Question 162873: I'm not sure where to start with this proof i'll show you what I have so far but i am not so sure it is correct. There is also a picture/diagram that goes along with the proof, i will do my best to try and explain it.
Given: Segment AC is perpendicular to segment BC; Angle 3 is complementary to angle 1
Prove: Angle 3 is congruent to Angle 2
Diagram: Scalene triangle separated by a vertical segment CD, with verticies labled A (bottom left corner) C (top corner) B (bottom right corner), the segnment CD forms two right angles angle CDA and angle CDB. There are also numbers measuring three angles in the triangle number 3 being the measure of angle CAD, number 1 being the measure of andgle ACD and number 2 being the measure of angle DCB, all three angles are acute. Sorry i am not sure how much help that describtion is i wish i could draw a picture but im not sure how. I know there are about 8-10 steps and so far i have this:
statements reasons
angle 3 is complementary to angle 1 : Given
the measure of angle 3 + the
measure of angle 1 = 90 : Definition of Complementary?
AC is perpendicular to BC : Given
Angle ACB is a right angle : ?
thats all i have so far and im not sure whats right and what isnt, i hope i explained everything well enough...thank you so much for your time: I'm not sure where to start with this proof i'll show you what I have so far but i am not so sure it is correct. There is also a picture/diagram that goes along with the proof, i will do my best to try and explain it.
Given: Segment AC is perpendicular to segment BC; Angle 3 is complementary to angle 1
Prove: Angle 3 is congruent to Angle 2
Diagram: Scalene triangle separated by a vertical segment CD, with verticies labled A (bottom left corner) C (top corner) B (bottom right corner), the segnment CD forms two right angles angle CDA and angle CDB. There are also numbers measuring three angles in the triangle number 3 being the measure of angle CAD, number 1 being the measure of andgle ACD and number 2 being the measure of angle DCB, all three angles are acute. Sorry i am not sure how much help that describtion is i wish i could draw a picture but im not sure how. I know there are about 8-10 steps and so far i have this:
statements reasons
angle 3 is complementary to angle 1 : Given
the measure of angle 3 + the
measure of angle 1 = 90 : Definition of Complementary?
AC is perpendicular to BC : Given
Angle ACB is a right angle : ?
thats all i have so far and im not sure whats right and what isnt, i hope i explained everything well enough...thank you so much for your time
Click here to see answer by elima(1420) |
Question 162525: What congruence test can be used to prove that two triangles are congruent?
I have no clue. Please help.
Thanks
: What congruence test can be used to prove that two triangles are congruent?
I have no clue. Please help.
Thanks
Click here to see answer by vleith(1156) |
Question 162509This question is from textbook Geometry
: Yeah. i need help. I dont understand proofs one bit. I am so confused. HELP! And i am in Geometry HONORS>This question is from textbook Geometry
: Yeah. i need help. I dont understand proofs one bit. I am so confused. HELP! And i am in Geometry HONORS>
Click here to see answer by vleith(1156) |
Question 162224: Given two angles that form a linear pair. Prove that thier bisectors are perpendicular.
please give me the statements and reasons. and please keep it as simple as possible. thank you: Given two angles that form a linear pair. Prove that thier bisectors are perpendicular.
please give me the statements and reasons. and please keep it as simple as possible. thank you
Click here to see answer by stanbon(18743) |
Question 162220This question is from textbook Roads to Geometry
: Please assist me on this proof, I am really not sure where to begin.
If angle measures are restricted to values between 0 degrees and 180 degrees, is the interior of every angle a convex set? Explain. If as Birkhoff did, we allow angle measures to have values between 0 degrees and 360 degrees, is the interior of every angle a convex set? Explain.This question is from textbook Roads to Geometry
: Please assist me on this proof, I am really not sure where to begin.
If angle measures are restricted to values between 0 degrees and 180 degrees, is the interior of every angle a convex set? Explain. If as Birkhoff did, we allow angle measures to have values between 0 degrees and 360 degrees, is the interior of every angle a convex set? Explain.
Click here to see answer by stanbon(18743) |
Question 162186: please help me solve the given: maesure angle ABC+ mesure angle CBD=90, masure angle ABC=3x-5, and measure angle CBD=x+1 over 2; and the prove: x=27?
ISBN 0-07-822880-8: please help me solve the given: maesure angle ABC+ mesure angle CBD=90, masure angle ABC=3x-5, and measure angle CBD=x+1 over 2; and the prove: x=27?
ISBN 0-07-822880-8
Click here to see answer by vleith(1156) |
Question 161720: show that the quadrilateral formed by joining the mid-points of the sides of a square is also a square.: show that the quadrilateral formed by joining the mid-points of the sides of a square is also a square.
Click here to see answer by MathLover1(1157)  |
Question 161692: Can you tell me how to work a proof? I don't understand them at all. Mostly I don't understand how you know what the next step is going to be. So, I need help with these very much. Can you show me an example and explain it as you go along? I would really appreciate this.
Thank you. : Can you tell me how to work a proof? I don't understand them at all. Mostly I don't understand how you know what the next step is going to be. So, I need help with these very much. Can you show me an example and explain it as you go along? I would really appreciate this.
Thank you.
Click here to see answer by ilana(218) |
Question 161595: I have a worksheet and no book and am lost. Please help.
It states: Use the Law of Syllogism to determine a conclusion from statements (1) and (2).
(1) ALL SQUARES ARE RHOMBUSES.
(2) THE DIAGONALS OF A RHOMBUS ARE PERPENDICULAR.
I must show my work. Please help me.
Thanks: I have a worksheet and no book and am lost. Please help.
It states: Use the Law of Syllogism to determine a conclusion from statements (1) and (2).
(1) ALL SQUARES ARE RHOMBUSES.
(2) THE DIAGONALS OF A RHOMBUS ARE PERPENDICULAR.
I must show my work. Please help me.
Thanks
Click here to see answer by ilana(218) |
Question 161393: I have absolutly NO idea how to do proofs. We just started them today so they are basic 2 section proofs. Are there any basics I should learn before I attempt these?: I have absolutly NO idea how to do proofs. We just started them today so they are basic 2 section proofs. Are there any basics I should learn before I attempt these?
Click here to see answer by checkley77(3394) |
Question 161435: Points R, J, S, G are collinear. If RJ=SG and RJ, JS, and SG are integaers, what value is NOT possible for RG if JS= 15?
A: 18
B: 21
C: 25
D: 17
._____.__________._____.
the order of the points are R, J, S, G: Points R, J, S, G are collinear. If RJ=SG and RJ, JS, and SG are integaers, what value is NOT possible for RG if JS= 15?
A: 18
B: 21
C: 25
D: 17
._____.__________._____.
the order of the points are R, J, S, G
Click here to see answer by gonzo(434) |
Question 161433: If a+bc=d, then which expression describes c?
A: d - a + b
B: a + b + c
C: (d-a) divided by b
D: (a+d) divided by b
: If a+bc=d, then which expression describes c?
A: d - a + b
B: a + b + c
C: (d-a) divided by b
D: (a+d) divided by b
Click here to see answer by checkley77(3394) |
Question 160862: ISBN 0- 13- 062560- 4
Given: X is the midpoint of line AG and of line NR
Prove: triangle ANX is congruent to triangle GRX: ISBN 0- 13- 062560- 4
Given: X is the midpoint of line AG and of line NR
Prove: triangle ANX is congruent to triangle GRX
Click here to see answer by gonzo(434) |
Question 160135: can you write me a two column proof for the polygon exterior angle-sum theorem? Im using a pentagon. thank-you!: can you write me a two column proof for the polygon exterior angle-sum theorem? Im using a pentagon. thank-you!
Click here to see answer by gonzo(434) |
Question 160104: prove two statements below are equivalent.
If two line cut by transversal, the interior angles on one side of the transversal add to less than 180, then two lines will meet on that side of the transversal.
given a line and point not on the line, there exist a unique line through the point that is parallel to the given line.
I can prove them separately but I do not know how o make a connection between the two.: prove two statements below are equivalent.
If two line cut by transversal, the interior angles on one side of the transversal add to less than 180, then two lines will meet on that side of the transversal.
given a line and point not on the line, there exist a unique line through the point that is parallel to the given line.
I can prove them separately but I do not know how o make a connection between the two.
Click here to see answer by gonzo(434) |
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