Advertisements
Advertisements
Question
If the adjacent angles of a parallelogram are equal, then the parallelogram is a ______.
Options
rectangle
trapezium
rhombus
any of the three
Advertisements
Solution
If the adjacent angles of a parallelogram are equal, then the parallelogram is a rectangle.
Explanation:
In parallelogram the opposite angles are equal. When the adjacent angles become equal all the angles become equal and so it becomes a rectangle.
APPEARS IN
RELATED QUESTIONS
In a parallelogram ABCD, the diagonals bisect each other at O. If ∠ABC = 30°, ∠BDC = 10° and ∠CAB = 70°. Find:
∠DAB, ∠ADC, ∠BCD, ∠AOD, ∠DOC, ∠BOC, ∠AOB, ∠ACD, ∠CAB, ∠ADB, ∠ACB, ∠DBC and ∠DBA.
In Fig. 17.29, suppose it is known that DE = DF. Then, is ΔABC isosceles? Why or why not?
A mason has made a concrete slab. He needs it to be rectangular. In what different ways can he make sure that it is rectangular?
Prove that quadrilateral formed by the intersection of angle bisectors of all angles of a parallelogram is a rectangle.

If diagonal of a rectangle is 26 cm and one side is 24 cm, find the other side.
The interior angle made by the side in a parallelogram is 90° then the parallelogram is a
For which of the following figures, all angles are equal?
All squares are rectangles.
Rectangle is a regular quadrilateral.
Construct a rectangle whose one side is 3 cm and a diagonal equal to 5 cm.
