SOLUTION: In the figure ABCD is a paraello gram. The points L and M trisect the diagonal AC.show that X and Y are the midpoints of sides CD and AB respectively.

Question 1068654: In the figure ABCD is a paraello gram. The points L and M trisect the diagonal AC.show that X and Y are the midpoints of sides CD and AB respectively.
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Who are these points X and Y ?

-------------------------
Comment from student: X and y are points on AB and CD.we need to show that they are the corresponding midpoints
-------------------------

My response. Surely, I knew the answer in advance. I simply wanted YOU formulate it.

For the solution, see the lesson
    - Solved problems on Parallel lines cutting off congruent segments in transverse lines, Problem 3
in this site.

Also, you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lessons are the part if this textbook under the topic
"Parallel lines cutting off transverse lines in congruent or proportional segments".

RELATED QUESTIONS
R, S, and T are, respectively, the midpoints of the sides AB, AD, and CD of a square.... (answered by richard1234)

ABCD is a rectangle such that AD = 2AB and the diagonal AC = root5 d the the perimeter of (answered by advanced_Learner,MathTherapy,ikleyn)

ABCD is a rectangle such that AD = 2AB and the diagonal AC = root5 d the the perimeter of (answered by ikleyn)

In rectangle ABCD, diagonal AC = 5x and diagonal BD = 6x � 2. Find x and then find the... (answered by jim_thompson5910)

A triangular piece of glass (XYC) is cut from a rectangular pane (ABCD). Points X and Y... (answered by math-vortex)

In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the... (answered by MathLover1)

in the figure below, what is the perimeter of square ABCD if diagonal... (answered by Alan3354)

Hello tutor the questions says Given: In square ABCD, diagonal AC is drawn Prove: If... (answered by ikleyn)

In triangle ABC, E and F are midpoints of sides line AB and line AC, respectively; and H... (answered by KMST)