Question

Prove: The quadrilateral formed by joining in order the midpoints of the sides of a rectangle is a parallelogram.

Given:
ABCD is rectangle
K, L, M, N are midpoints

Prove:
KLMN is a parallelogram

Which of the following reasons would complete the proof in line 6?

If a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram.
If both pair of opposite sides of a quadrilateral are equal, then it is a parallelogram.
If both pair of opposite sides of a quadrilateral are parallel, then it is a parallelogram.

Answer 1

I got it this time.

Answer 2

Ewww, proofs. Im not, very good at them.

Answer 3

do u know "mid point theorem"

Answer 4

no

Answer 5

the line joing two midpoints of a triangle is parellel to the third side..now think for 5 mins..if u r unable to do it..i'll tell u

Answer 6

i got it

Answer 7

really? tell me...

Answer 8

it was If a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram.

Answer 9

look at triangle ADC and ABC...KL and MN( mark them..I forgot to) are both parellel to AC.. same way LM and KN are parellel to BD..so opposite sides are parellel