Tutors Answer Your Questions about Geometry proofs (FREE)
Question 345593: PROVE:
If an isosceles triangle has an altitude from the vertex to the base, then the altitude bisects the vertex angle.
GIVEN:
Triangle ABC is isosceles; Segment CD is the altitude to base of segment AB
TO PROVE:
Segment CD bisects angle ACB
Can someone PLEASE help me with this 2 column proof?
I have to put the statements and reasons....I am having so much trouble.
Click here to see answer by solver91311(16868)  |
Question 348048: 10th Grade Geometry Proof
Greetings...
Here is the problem:
Given: Line segment.SZ ≌ Line segment.ST
Line segment.XY ≌ Line segment.VW
Y is the midpoint of Line segment.ZX
V is the midpoint of Line segment.TW
Prove: Line segment.SX ≌ Line segment.SW
The figure is here: http://i676.photobucket.com/albums/vv124/Frostcaster/proof11.png
I am now in a chapter titled "Multiplication and Division properties"
My grade level is 10th.
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I tried to solve it...but the outcome does not seems right.
If my proof is all messed up, please don't bother to fix it, start a new one.
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Statements | Reasons
1/SZ ≌ ST | 1/Given
2/XY ≌ VW | 2/Given
3/Y is the midpoint of ZX | 3/Given
4/V is the midpoint of TW | 4/Given
5/Y bisects ZX | 5/If a point is the midpoint of a segment, then it bisects the
segment.
6/V bisects TW | 6/If a point is the midpoint of a segment, then it bisects the
segment.
7/ZY ≌ YX | 7/If a point bisects a segment into two segments, then the two
segments are congruent.
8/TV ≌ VW | 8/If a point bisects a segment into two segments, then the two
segments are congruent.
9/SX ≌ SW | 9/If segments are added to congruent segments, then the sums
are congruent.
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Thanks!
Click here to see answer by jim_thompson5910(28476) |
Question 348877: Greetings,
Here is a 10th grade Geometry Proof. I tried it but failed...didn't even came up with one statement that's make sense.
The figure and the given statements are here:
http://i676.photobucket.com/albums/vv124/Frostcaster/proof13.png
Thanks.
Click here to see answer by Fombitz(13828)  |
Question 351315: Here is my Paragraph proof.I need to turn it it into a two-column proof.Can any one help me?
If CD is an altitude to AB, then CD must be perpendicular to AB because of the definition of an altitude. Since a ray perpendicular to a segment creates two right angles, angles ADC and BDC must both be right angles and therefore are equal in measure. Angles CAD and CBD must be equal in measure because the triangle is isosceles and AB is the base. Segment CD is equal in measure to segment CD since things are always equal to themselves. Hence triangle CAD is congruent to triangle CBD by AAS. Hence angle ACD is equal in measure to angle BCD by CPCT. Therefore segment CD bisects angle C by definition of an angle bisector.
Click here to see answer by solver91311(16868)  |
Question 351532: Adam says bob lies
bob says charlie lies
charlie says Adam and bob both lie
a) if Adam telling the truth, then bob is lying. what can you conclude about char lie's statement ?
b) assume Adam is telling the truth .explain how this leads to a contradiction
c) who is telling the truth ? who is lying ?
Click here to see answer by Jk22(389)  |
Question 352099: Tell whether statement is always ,sometimes,or never true
1 A triangle is convex
2 A decagon is regular
3 A regular polygon is equiangular
4 A circular is a polygon
5 a polygon is a plane figure
6 A concave polygon is regular
Click here to see answer by stanbon(57223) |
Question 352021: Prove ray AB is a subset of line AB.
I was thinking I needed to show x as a point on ray AB and then if x is a point on ray AB it would also be a point on ray BA. I just am stuck on how to pull it all together and prove that a ray AB is a subset of the line AB. I know it is true, just stuck.
Click here to see answer by Fombitz(13828)  |
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