Advertisements
Advertisements
प्रश्न
ABCD is a parallelogram. What kind of quadrilateral is it if : AC = BD and AC is perpendicular to BD?
Advertisements
उत्तर

AC = BD (Given)
& AC ⊥ BD (Given)
i.e. Diagonals of a quadrilateral are equal and they are ⊥ to each other.
∴ ABCD is square.
APPEARS IN
संबंधित प्रश्न
If the ratio of measures of two adjacent angles of a parallelogram is 1 : 2, find the measures of all angles of the parallelogram.
In the given figure, `square`PQRS and `square`ABCR are two parallelograms. If ∠P = 110° then find the measures of all angles of `square`ABCR.

Which of the following figures satisfy the following properties?
- All sides are congruent.
- All angles are right angles.
- Opposite sides are parallel.
If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, then the ratio of these angles is ______.
In parallelogram LOST, SN ⊥ OL and SM ⊥ LT. Find ∠STM, ∠SON and ∠NSM.

A diagonal of a parallelogram bisects an angle. Will it also bisect the other angle? Give reason.
Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B = 60°.
Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.
The following figure RUNS is parallelogram. Find x and y. (Lengths are in cm)

Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.
