Question

prove that if C is an element of ray AB and C is not equal to...

prove that if C is an element of ray AB and C is not equal to A, then ray AB = ray AC using any of the following corollarys

3.2.18.) Let, A, B, and C be three points such that B lies on ray AC. Then A * B * C if and only if AB < AC.

3.2.19.) If A, B, and C are three distinct collinear points, then exactly one of them lies between the other two.

3.2.20.) Let A and B be two distinct points. If f is a coordinate function for L = line AB such that f(A)=0 and f(B)>0, then ray AB = {P is an element of L: f(P) is greater than or equal to 0}.

3.2.21.) Let A and B be two distinct points. The point M i s called a midpoint of line segment AB if M is between A and B and AM=MB.

Homework Answers

Answer #1

Thanks

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove that if A*B*C, then ray AB = ray AC and ray BC is a subset...
Prove that if A*B*C, then ray AB = ray AC and ray BC is a subset of ray AC
5. Suppose that the incenter I of ABC is on the triangle’s Euler line. Show that...
5. Suppose that the incenter I of ABC is on the triangle’s Euler line. Show that the triangle is isosceles. 6. Suppose that three circles of equal radius pass through a common point P, and denote by A, B, and C the three other points where some two of these circles cross. Show that the unique circle passing through A, B, and C has the same radius as the original three circles. 7. Suppose A, B, and C are distinct...
given a line AB and a point C not on AB, prove that there is a...
given a line AB and a point C not on AB, prove that there is a Ray AD such that AC is between AB and AD
Suppose M is the Midpoint of segment AB, P is the midpoint of segment AM, and...
Suppose M is the Midpoint of segment AB, P is the midpoint of segment AM, and Q is the midpoint of segment PM. If a and b are the coordinates of points A and B on a number line, find the coordinates of P and Q in the terms of a and b.
Let ABCD be a rectangle with AB = 4 and BC = 1. Denote by M...
Let ABCD be a rectangle with AB = 4 and BC = 1. Denote by M the midpoint of line segment AD and by P the leg of the perpendicular from B onto CM. a) Find the lengths of P B and PM. b) Find the area of ABPM. c) Consider now ABCD being a parallelogram. Denote by M the midpoint of side AD and by P the leg of the perpendicular from B onto CM. Prove that AP =...
Prove True Fact 2: True Fact 1: If A-B-C and line L passes through B but...
Prove True Fact 2: True Fact 1: If A-B-C and line L passes through B but not A, then A and C lie on opposite sides of L. TF1 is used to prove the following (in fact, the proof is not much different): True Fact 2: If point A lies on L and point B lies on one of the half-planes determined by L, then, except for A, the segment AB or ray AB lies completely in that half-plane.
ABC is a right-angled triangle with right angle at A, and AB > AC. Let D...
ABC is a right-angled triangle with right angle at A, and AB > AC. Let D be the midpoint of the side BC, and let L be the bisector of the right angle at A. Draw a perpendicular line to BC at D, which meets the line L at point E. Prove that (a) AD=DE; and (b) ∠DAE=1/2(∠C−∠B) Hint: Draw a line from A perpendicular to BC, which meets BC in the point F
We say that a point C (anywhere) on an axis that contains a vector AB ≠...
We say that a point C (anywhere) on an axis that contains a vector AB ≠ 0 ( and so A ≠ B), divides the vector AB ≠ 0 in ratio λ, if (AC/CB) = λ . This ratio is also called the simple ratio of the points A, B, C in the order denoted by {A, B; C}. So, when A ≠ B prove: (a) C is between A and B iff λ > 0. (b) C is outside...
In the rectangle ABCD, AB = 6 and BC = 8. The diagonals AC and BD...
In the rectangle ABCD, AB = 6 and BC = 8. The diagonals AC and BD intersect at O. Point P lies on the diagonal AC such that AP = 1. A line is drawn from B through P and meets AD at S. Let be R a point on AD such that OR is parallel to BS. a) Find the lengths of AS and RD. Hint: Denote AS = x. Use P S k OR and OR k BS...
Find the angle between the planes 15x−25y+z=−18 and 9x+3y+19z=−6. Round to the nearest degree, and do...
Find the angle between the planes 15x−25y+z=−18 and 9x+3y+19z=−6. Round to the nearest degree, and do not include the degree symbol in your answer. Find the parametric equations for the line segment between the points P(−3,5,9) and Q=(4,−7,2) so that the line segment extends from P at t=0 to Q at t=1. Enter the three coordinate equations in the form x=f(t), y=g(t), z=h(t). Find an equation of the sphere that has center C(2,4,5) and is tangent to the xy-plane. Find...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT