SOLUTION: given: B is the midpoint of AC C is the midpoint of BD prove: AB= CD

SOLUTION: given: B is the midpoint of AC C is the midpoint of BD prove: AB= CD

Algebra.Com

Question 1165626: given: B is the midpoint of AC
C is the midpoint of BD
prove: AB= CD
Answer by mananth(16948) (Show Source): You can put this solution on YOUR website!
Since B is the mid point of CD Seg AB = Seg BC............1
C is the midpoint of BD seg BC = seg CD. ...................2
From 1 & 2
Seg AB = Seg BC = seg CD
Therefore Seg AB = seg CD ( By Transitive property)

RELATED QUESTIONS
given: B is the midpoint of AC C is the midpoint of BD prove: AB=CD... (answered by solver91311)

b is the midpoint of ac. prove ab + cd =... (answered by JBarnum,Fombitz)

Point C is the midpoint of AB and B is the midpoint of CD. Prove that AC is congruent to... (answered by solver91311)

Given: E is the midpoint of line segment AC and line segment BD Prove: line segment AB... (answered by ikleyn)

Given AC=2(AB) Prove B is the midpoint of... (answered by solver91311)

Given 2AB = AC Prove B is the midpoint of... (answered by ikleyn)

given: AC is perpendicular to BD B is the midpoint of AC Prove: triangle ABD is... (answered by Theo)

The proof by indirect method is shown below. In which step does the contradiction appear? (answered by solver91311)

A (2,2) B (14,10) If C is the midpoint of AB, D is midpoint of AC, and E is the midpoint (answered by Fombitz)