Question

write all theorems related to parallelogram

Answer 1

Heya here is your answer....

DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite sides congruent. 

THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite angles congruent. 

THEOREM: If a quadrilateral is a parallelogram, it has consecutive angles which are supplementary

THEOREM: If a quadrilateral is a parallelogram, it has diagonals which bisect each other. 

THEOREM: If a quadrilateral is a parallelogram, it has diagonals which form 2 congruent triangle

DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. 

THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram. 

THEOREM: If a quadrilateral has consecutive angles which are supplementary, then it is a parallelogram.

THEOREM: If a quadrilateral has diagonals which bisect each other, then it is a parallelogram. 


THEOREM: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.