Question 1 :
Which of the following is correct regarding the diagonals of a rhombus ?
Question 2 :
The adjacent sides of a parallelogram are 15 cm and 10 cm. If length of one diagonal of this parallelogram is 20 cm, the length of other diagonal will be
Question 3 :
What is the minimum possible perimeter of a quadrilateral with an area of $1,600$ square feet?
Question 4 :
Two opposite angles of a parallelogram are ${\left( {3x - 2} \right)^ \circ }$ and ${\left( {50 - x} \right)^ \circ }$. Find the value of $x$
Question 6 :
What is the maximum possible area of a parallelogram with one side of length 2 meters and a perimeter of 24 meters ?
Question 8 :
Explain how a square is a parallelogram<br/><br/><b>Answer: </b>A square has its opposite sides parallel, so, it is a parallelogram.<br/>
Question 9 :
State true or false:A diagonal divides a parallelogram into two triangles of equal areas.
Question 11 :
In a quadrilateral $ABCD,$ the point $P$ divides $DC$ in the ratio $1:2$ and $Q$ is the mid point of $AC$. If $AB + 2AD + BC - 2DC = k PQ,$ then $k$ is equal to:
Question 12 :
L and M are the mid-points of sides AB and DC respectively of parallelogram ABCD. Prove that segments DL and BM trisect diagonal AC. StateTrue or False.
Question 13 :
Diagonals AC and BD of a parallelogram ABCD intersect each other at O.If OA = 3 cm and OD = 2 cm, determine the length of AC.<br/><br/>
Question 14 :
Find the angles of a parallelogram if one angle is three times another.
Question 15 :
State true or false:For the case of a parallelogram the bisectors of any two adjacent angles intersect at $90^{0}$.<br/>
Question 16 :
State true or falseIn a square $ABCD$, diagonals meet at $O$. $P$ is a point on $BC$ such that $OB= BP$, then<br/>$\angle BOP= 3\, \angle COP$<br/>
Question 17 :
State true or false:For the case of a parallelogram the bisectors of opposite angles are not parallel to each other.<br/>
Question 18 :
Length of one of the diagonals of a rectangle whose sides are $ 10\,cm $ and $ 24\,cm $ is
Question 19 :
State true or false:In quadrilateral ABCD, the diagonals AC and BD intersect each at point O. If $AO=2CO$ and $BO=2DO$; Then, $\displaystyle OA \times OD=OB\times OC$.<br/>
Question 20 :
If the points A$ (a, -10)$, B $(6, b)$, C $(3, 16)$, D $(2, -1)$ are the vertices of a parallelogram ABCD, find the values of $a$ and $b$
Question 21 :
A school was having 4 Hexagonal buildings joined to each other. They wanted to utilize the space between the 4 buildings to make a playground. The shape is that of a parallelogram. Can you find the measure of the angles as opposite angles are equal?
Question 22 :
If two sides of a parallelogram are $6$ and $8$ and one diagonal is $7$, what is the length of the other diagonal?
Question 23 :
The point of intersection of the diagonals of a quadrilateral divides one diagonal in theratio $1 : 2 .$ Can it be a parallelogram?
Question 24 :
The two diagonals of a rhombus are $24$ cm and $10$ cm long. The length of each side of the rhombus is