SOLUTION: If the diagonals of a parallelogram are perpendicular to each other prove that it is a rhombus

Question 1121613: If the diagonals of a parallelogram are perpendicular to each other prove that it is a rhombus
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let's say it is a parallelogram
Statements........................................................................................ Reasons
1.Parallelogram and are perpendicular to each other ......... Given
2. < and < are right angles.............................................. Definition of perpendicular
3. < � and < � ..............................................Definition of right angle
4. < congruent < ................................................. ...........Definition of congruent angles
5. is congruent ........................................................................-Opposite sides of a parallelogram are congruent
6. is congruent ....................................................................................Reflexive property of congruent
7. Δ is congruent Δ .............................................................. Postulate
8. is congruent ..........................................................................
9. Parallelogram is a rhombus..........................................Definition of rhombus

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