Advertisements
Advertisements
Question
ABCD is a parallelogram. What kind of quadrilateral is it if: AC = BD but AC is not perpendicular to BD?
Advertisements
Solution

AC = BD but AC & BD are not ⊥ to each other.
∴ ABCD is a Rectangle.
APPEARS IN
RELATED QUESTIONS

In the above figure both RISK and CLUE are parallelograms. Find the value of x.
In the given figure, `square`ABCD is a parallelogram. Point E is on the ray AB such that BE = AB then prove that line ED bisects seg BC at point F.

In parallelogram ABCD, ∠A = 3 times ∠B. Find all the angles of the parallelogram. In the same parallelogram, if AB = 5x – 7 and CD = 3x +1 ; find the length of CD.
In the given figure, AB || EC, AB = AC and AE bisects ∠DAC. Prove that:

- ∠EAC = ∠ACB
- ABCE is a parallelogram.
Which of the following figures satisfy the following properties?
- All sides are congruent.
- All angles are right angles.
- Opposite sides are parallel.
The angle between the two altitudes of a parallelogram through the same vertex of an obtuse angle of the parallelogram is 30°. The measure of the obtuse angle is ______.
If opposite angles of a quadrilateral are equal, it must be a parallelogram.
In parallelogram LOST, SN ⊥ OL and SM ⊥ LT. Find ∠STM, ∠SON and ∠NSM.

ABCD is a parallelogram. The bisector of angle A intersects CD at X and bisector of angle C intersects AB at Y. Is AXCY a parallelogram? Give reason.
Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.
