SOLUTION: if b is the mid point of ac and c is the mid point of bd, where a,b,c,d lie on a straight line, say why ab=cd?

Question 212913: if b is the mid point of ac and c is the mid point of bd, where a,b,c,d lie on a straight line, say why ab=cd?
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
Since, b is the midpoint of ac then a, b, and c are collinear (the points lie on the same line)
Since, c is the midpoint of bd then b, c, and d are collinear as well.
So, a, b, c, and d are collinear.
---
Since b is the midpoint of ac, then ab=bc
Since c is the midpoint of bd, bc=cd.
---
Now, since ab=bc and bc=cd, then
ab=cd
RELATED QUESTIONS
Find the equation of straight line that passes through point L and M were L is the... (answered by josmiceli)

Points A, B, C, and D lie in consecutive order on a line. If AC=4/3AB and BD=6BC, then... (answered by solver91311)

A, B, C, and D are four points on a line such that AB : AC = 7 : 10 , and BD : CD = 9 :... (answered by greenestamps)

The points A(1,7), B(20,7) and C(p,q) form the verticies of a triangle ABC. The point... (answered by stanbon)

ABC is a triangle in which AB=AC. A circle through B touches AC at D intersects AB at... (answered by ly12603)

To determine the width of a chasm, a marker (A) is placed directly opposite a rock (R) on (answered by MowMow)

To determine the width of a chasm, a marker (A) is placed directly opposite a rock (R) on (answered by MathLover1)

help please:don't know where to start 3 points A(3,1, B(-1,-11) and C (-5,9) nd circle... (answered by Alan3354)

Five points, A, B, C, D, and E, lie on a line, not necessarily in that order. segment AB... (answered by Fombitz)