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

Tutors Answer Your Questions about Geometry proofs (FREE)

Question 388116: Given: WX≅WZ; XW⊥XY; WZ⊥ZY
Prove: WY bisects ∠XYZ
Statement:
1. XW⊥XY; WZ⊥ZY (given)
2. ∠YXW and ∠WZY are right angles
3. WX≅WZ (given)
4. YW≅YW
5. ΔXYW≅ΔZYW (HL theorem)
6. ∠1≅∠2
7. m∠1=m∠2 (definition of congruent angles)
8. WY bisects ∠XYZ
Choose the correct reason for statement 8?

Click here to see answer by jerryguo41(162)

Question 388115: Given: WX≅WZ; XW⊥XY; WZ⊥ZY
Prove: WY bisects ∠XYZ
Statement:
1. XW⊥XY; WZ⊥ZY (given)
2. ∠YXW and ∠WZY are right angles
3. WX≅WZ (given)
4. YW≅YW
5. ΔXYW≅ΔZYW (HL theorem)
6. ∠1≅∠2
7. m∠1=m∠2 (definition of congruent angles)
8. WY bisects ∠XYZ
Choose the correct reason for statement 6?

Click here to see answer by jerryguo41(162)

Question 386305: complete the proof
given: 4x+6/2=9
prove: x=2
statements reasons
a.4x+6/2=9 a._______
b.___(4x+6/2)=2(9) b.multiplication prop.
c.4x+6=18 c._______
d. 4x+6-6=18-6 d._______
e. 4x= ____ e. substitution prop.
f.4x/4=____ f. division prop.
g.______ g. substitution prop.
Click here to see answer by jerryguo41(162)

Question 389140: Is there an easier way to understand proofs in geometry? I'm so lost in class because I went late in the year and I can't catch up. I'm passing the class with a 65 but I'm bringing home 30's on my tests. I can't comprehend it and my teacher gave me the site, regentsprep.org but it doesn't focus on anything we're doing in class. Help please?
Click here to see answer by MathLover1(6611)

Question 389060: write reasons for the statments of the proof.
Given: B is the midpoint of (line over) AC and (line over) DE.
Prove: (line over) AC ≅ (line over) CD.

Statements: Reasons:
1. B is the midpoint of (line over)AC and (line over) DE. ____________________
2. (line over) BD ≅ (line over BE and (Line over)BC ≅(line over)BA. ______________
3. 4. Triangle CBD ≅ triangle ABE. ______________________________________
5. (line over) AE ≅ (line over) CD. ____________________________________
Click here to see answer by jerryguo41(162)

Question 389170: Generate a proof for this:
If two angles are both equal in measures and supplementary, then each angle measures 90 degrees.
Click here to see answer by richard1234(5390)

Question 389290: A triangle with interior angles labeled 1, 2, and 3. The exterior angle at 3 is labeled angle 4.
Given: Symbol for angle 4. is an exterior angle of the triangle
Prove: Symbols for the measure of angle 4 = measure of angle 1 plus the measure of angle 2.
Two column proof: Statement 1 says “angle 4 is an exterior angle of the triangle.” Reason 1 says “given”. Statement 2 says “the measures of angles 1, 2 and 3 added together equal 180 degrees.” Reason 2 says “a” indicating this is the first place where a student should provide an answer. Statement 3 says “angles 3 and 4 are a linear pair.” Reason 3 says “b” indicating this is the next place where a student should provide an answer. Statement 4 says “angles 3 and 4 are supplementary angles.” Reason 4 says “If two angles form a linear pair, then they are supplementary.” Statement 5 says “measure of angle 3 plus the measure of angle 4 equals 180 degrees.” Reason 5 says “c” indicating this is the next place where a student should provide an answer. Statement 6 says “ the sum of angles 1, 2 and 3 equal the sum of angle 3 and 4.” Reason 6 says “d” indicating this is the next place where a student should provide an answer. Statement 7 says “the sum of the measure of angles 1 and 2 equal the measure of angle 4.” Reason 7 says “e” indicating this is the next place where a student should provide an answer.
Click here to see answer by richard1234(5390)

Question 388777: A man is surveing the landscape at a spot where his eyes are 10,Om above the sea
level. In the sky there is a tiny purple cloud, the inclination of which is 62°above the horizon. The reflection of the cloud from the surface of the sea has an inclination, which is 65° below the horizon.
Find the height of the cloud above the sea level.
Hint: The angles, which the source and reflection form with the surface of the sea, are the same
Click here to see answer by Alan3354(30924)

Question 389347: what type of help can i get for "meaasuring and classifying angles"?
-i'm looking for some tutoring.
-need to catch up in my geometry work/skills.
please, thank you.
Click here to see answer by rfer(12644)

Question 389699: can a segment bisect a plane
Click here to see answer by Jk22(389)

Question 389648: prove:
if two intersecting lines form a linear pair of congruent angles, then the two lines are perpendicular
Click here to see answer by wahungbui14(1)

Question 389765: Provide a counter example to dispute SSA as a sufficient shortcut to determine congruency between triangles.
Click here to see answer by Edwin McCravy(8879)

Question 390090: Proving Triangles Confruent
Given: segment AC is congruent to segment CB
and D is the midpoint of segment AB
Prove by any method: triangle ACD is congruent to triangle BCD

Click here to see answer by richard1234(5390)

Question 390454: how do you step by step prove, given that the measure of angle ISR is greater then the measure of angle IPN and GS is equal to GP, that the measure of angle ISP is greater then that measure of angle IPS?
Click here to see answer by richard1234(5390)

Question 390424: A four-sided figure with two distinct pairs of consecutive sides is called a kite. K(-1,1), I(2,3) T (6,1) and E(2,-1) are the vertices of a kite. In a kite one diagonal is perpendicular bisector of the other find this point.
We have not yet gone over kites so this question troubles me. I don't understand
perpendicular bisectors as I was absent on that day, thank you for your help.
Click here to see answer by ewatrrr(10682)

Question 390654: if a triangle has two angles of equal measure,then the third angle is obtuse.
Click here to see answer by solver91311(16868)

Question 391100: Given: AB=CD
CD=EF
conclusion:?
reason:?
Click here to see answer by richard1234(5390)

Question 391038: Given that segment AC is congruent to segment CE and segment BC is congruent to segment DE, which theorem or postulate proves ABC is congruent to CDE? I know its Hl congruence theorem but why is that?
Click here to see answer by richard1234(5390)

Question 391009: Prove: if diagonal of a parallelogram bisects an angle of the parallelogram, then the parallelogram is a rhombus.(state plan and give proof)
Given: ABCD is a parallelogram with <1 congruent <@.
To prove: ABCD is a rhombus.
Plan:__________________?

i need help with the proofs and reasons...im not very good at this at all! thank youu so much

Heres a picture!
http://i1189.photobucket.com/albums/z426/cwallace2/Casey002.jpg
Click here to see answer by richard1234(5390)

Question 391497: Given Angle O Is 60 Directions says find the measurements of the circle BAC
Click here to see answer by Alan3354(30924)

Question 392003: 1.how to prove if the diagonals in a parallelogram are perpendicular, then the parallelogram is a rhombus.
2. how to prove if the diagonals in a paralellogram are congruent, then the parallelogram is a rectangle

Click here to see answer by Edwin McCravy(8879)

Question 392001:
Click here to see answer by Alan3354(30924)

Question 392001:
Click here to see answer by richard1234(5390)

Question 392351: Hello, I cannot figure out how to solve this geometric proof! Please help!
Prove that the length of the midline of a trapezoid is the average of the lengths of its two bases.
Click here to see answer by NancyLam(35)

Question 392661: 3.14/500 where do babies come from?
Click here to see answer by Alan3354(30924)

Question 392720: how would u solve 5x+10=3x-20=2x
Click here to see answer by Alan3354(30924)

Question 394833: How do you do proofs in geometry?
Click here to see answer by richard1234(5390)

Question 395536: Given: in ΔXYZ, ∠XYZ is a right angle.
Prove: ∠YXZ and ∠YZX are complementary
Click here to see answer by richard1234(5390)

Question 395573: f(x)=x+3/x+1, f(x)-f(1)/x-1---> How do i set this problem up. Can you show all steps from setup to solving?
Click here to see answer by MathLover1(6611)

Question 396000: Given CA=DA
BA=EA
prove that BC is perpendiular to DE
Click here to see answer by richard1234(5390)

Question 395992: Triangle CAB is similar to DEF. Prove that angle bisector , median , altitude and midsegment are similar.
Diagram would be great!
Click here to see answer by richard1234(5390)

Question 396374: What forms when two lines intersect?
Click here to see answer by stanbon(57203)

Question 396415: a trapezoid had angles that meaure 3x. 3x x and x. what is the measure of x?
Click here to see answer by richard1234(5390)

Question 396439: Here is the proof
Given: RMST is a line segment, RM is congruent to MS and MS is congruent to ST
Prove: RM is congruent to ST
Click here to see answer by richard1234(5390)

Question 396622: I need help with my proofs. This problem i'm working on says,
given AB=CD
Prove AC=BD
A---B--------C---D
i dont know how to prove that.
Click here to see answer by J2R2R(94)

Question 396966: What is a binomial?
Click here to see answer by richard1234(5390)

Question 397933: what kInd of process do you use to show that a statement must be true because it cannot be false ?
Click here to see answer by stanbon(57203)

Question 397933: what kInd of process do you use to show that a statement must be true because it cannot be false ?
Click here to see answer by richard1234(5390)

Question 397932: Given points A(0,0) B(4,8) and C(6,2) are the vertices of triangle ABC.
A. Show that triangle ABC is an isosceles triangle
B. Find the coordinates of D , the midpoint of the base.
C. Show that CD is perpendicular to AB

Click here to see answer by ewatrrr(10682)

Question 397907: Given points A(0,0) B(4,8) and C(6,2) are the vertices of triangle ABC.
A. Show that triangle ABC is an isosceles triangle
B. Find the coordinates of D , the midpoint of the base.
C. Show that CD is perpendicular to AB
Click here to see answer by ewatrrr(10682)

Question 397983: the midpoint quadrilateral theorem: the quadrilateral formed bt joining the midpoints of the consecutive sides of any quadrilateral is a parallelogram
how do i do the proof of the theorem?

Click here to see answer by robertb(4012)

Question 398226: Dokažite istinitost sljedecih tvrdnji:
1. Svaka ravnina u prostoru jednoznacno je odrežena jednom svojom tockom i normalom.
2. Svaka ravnina u prostoru jednoznacno je odrežena s tri nekolinearne tocke koje leže
na njoj.
3. Svaka ravnina u prostoru jednoznacno je odrežena s dv¼e razlicite tocke i vektorom
u toj ravnini
4. Svaka ravnina u prostoru jednoznacno je odrežena s jednom tockom i dva linearno
nezavisna vektora u toj ravnini.
Za svaki od navedenih nacina zadavanja ravnine izvedite opcu jednadžbu ravnine. Može
li se na još neki nacin jednoznacno odrediti ravnina u prostoru pomocu tocaka i vektora
u toj ravnini ?
2
Click here to see answer by robertb(4012)

Question 399062: if i am doing indirect proofs could you please explain it to me how to do them because my teacher stinks, she just taught us this yesterday and now we have a test on it, for example,
write an indirect proof,
given:trapezoid ABCD with segment AB parallel to segment DC
prove: angle C and angle D are not both right angles
Click here to see answer by richard1234(5390)

Question 399010: Prove the following theorem: The acute angles of a right triangle are complementary. given: triangle ABC WITH RIGHT ANGLE C PROVE: ANGLE A AND ANGLE B are complementary.
Click here to see answer by richard1234(5390)

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