SOLUTION: Given: Quadrilateral ABCD is a parallelogram. Angle C is a right angle. Conclusion: Quadrilateral ABCD is a rectangle. How will i prove this?

Algebra ->  Parallelograms -> SOLUTION: Given: Quadrilateral ABCD is a parallelogram. Angle C is a right angle. Conclusion: Quadrilateral ABCD is a rectangle. How will i prove this?      Log On


   



Question 578125: Given: Quadrilateral ABCD is a parallelogram.
Angle C is a right angle.
Conclusion: Quadrilateral ABCD is a rectangle.
How will i prove this?

Answer by ad_alta(240) About Me  (Show Source):
You can put this solution on YOUR website!
If C is right, the angle opposite C is also right. Since the adjacent angles must sum to 180, the other angles are right as well. Thus, the parallelogram is a rectangle.