Question 2 :
Find the midpoint of the segment connecting the points $(a, -b)$ and $(5a, 7b)$.
Question 3 :
In a quadrilateral $ABCD$, the angles $\angle A, \angle B, \angle C$ and $\angle D$ are in the ratio $2 : 3 : 4 : 6$. Find the measure of each angle of the quadrilateral
Question 4 :
The diagonals of rhombus are $24$ cm and $10$ cm. Then its perimeter is:
Question 5 :
State true or false:<br/>In quadrilateral ABCD, the diagonals AC and BD intersect each each other at right angle, then $ AB^2 + CD^2 = AC^2 + DA^2$<br/><br/>
Question 6 :
Length of one of the diagonals of a rectangle whose sides are $ 10\,cm $ and $ 24\,cm $ is
Question 7 :
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 8 :
In $\bigtriangleup \: ABC$ , $E$ and $F$ are mid-points of sides $AB$ and $AC$ respectively. If $BF$ and $CE$ intersect each other at point $O$, then the $\bigtriangleup \:OBC$ and quadrilateral $AEOF$ are equal in area.
Question 9 :
In parallelogram $ABCD$, the bisectors of $\angle A$ and $\angle B$ intersect at $M$.If $\angle A=80^{o}$, then $\angle AMB=$.........
Question 10 :
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 11 :
If $(3, -4)$ and $(-6, 5)$ are the extremities of a diagonal of a parallelogram and $(2, 1)$ is its third vertex , then its forth vertex is
Question 13 :
The two diagonals of a rhombus are $24$ cm and $10$ cm long. The length of each side of the rhombus is
Question 14 :
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 15 :
Let ABCD be a parallelogram such that AB = q , AB = p, and $\angle BAD $ be an acute angle. If r is the vector that coincides with the altitude directed from the vertex B to the side AD, then r is given by