Advertisements
Advertisements
Question
The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?
Advertisements
Solution
No, it is not a rhombus. This is because diagonals of a rhombus must be perpendicular.
RELATED QUESTIONS
In the following figure GUNS and RUNS are parallelogram. Find x and y.
In the following figure GUNS and RUNS are parallelogram. Find x and y.
If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.
Diagonals of parallelogram ABCD intersect at O as shown in the following fegure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following:
(i) OB = OD
(ii) ∠OBY = ∠ODX
(iii) ∠BOY = ∠DOX
(iv) ∆BOY ≅ ∆DOX
Now, state if XY is bisected at O.
In the following Figure ABCD is a arallelogram, CE bisects ∠C and AF bisects ∠A. In each of the following, if the statement is true, give a reason for the same:
(i) ∠A = ∠C
(ii) \[\angle FAB = \frac{1}{2}\angle A\]
(iii) \[\angle DCE = \frac{1}{2}\angle C\]
(iv) \[\angle CEB = \angle FAB\]
(v) CE || AF
State with reason whether the following statement is ‘true’ or ‘false’.
Every parallelogram is a rhombus.
If all pairs of adjacent sides of a quadrilateral are congruent then it is called ______.
If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.
ABCD is a rhombus. If ∠BCA = 35°. find ∠ADC.
