Question

In: Math

1.38.4. The diagonal of a parallelogram and segments from any point on the diagonal to the...

1.38.4. The diagonal of a parallelogram and segments from any point on the diagonal to the vertices through which the diagonal does not pass divide the parallelogram into two pairs of equal triangles.

Solutions

Expert Solution

A parallelogram ABCD has been considered. BD is the diagonal of the parallelogram.

AE and EC are the segments drawn from a point E on the diagonal BD to the vertices

A and C through which diagonal BD does not pass.

ASA and SSS congruencies have been used to prove that two pairs

of triangles are formed in the parallelogram by BD and AC (AE+EC)


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