Question 2 :
Three vertices of a parallelogram are $(a+b,a-b), (2a+b, 2a-b), (a-b, a+b)$. Find the fourth vertex.
Question 5 :
Given that ABCD is a parallelogram. If AC is perpendicular to BD but is not equal to it then ABCD is a Rhombus.<br/>
Question 6 :
Find the midpoint of the segment connecting the points $(a, -b)$ and $(5a, 7b)$.
Question 7 :
Three vertices of a parallelogram taken in order are $( - 1 , - 6 ) , ( 2 , - 5 )$ and $(7,2).$ The fourth vertex is :
Question 8 :
What is the maximum possible area of a parallelogram with one side of length 2 meters and a perimeter of 24 meters ?
Question 10 :
The measure of an angle of a parallelogram is $70^0$. Find its remaining angles.
Question 13 :
Two parallelograms stand on equal bases and between the same parallels. The ratio of their areas is
Question 14 :
The measure of an angle of a parallelogram is $70^0$. Find its remaining angles.
Question 15 :
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 16 :
In a quadrilateral ABCD, $\angle A + \angle C = 180^{\circ}$ then $\angle B + \angle D = $
Question 17 :
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the _______ side.<br/>
Question 18 :
There exists a quadrilateral with a rotational symmetry of the order more than 1 but doesn't have a line symmetry.
Question 19 :
One side of a parallelogram is 8 cm. If thecorresponding altitude is 6 cm, then its area is given by
Question 20 :
A quadrilateral has distinct integer side lengths. If the second-largest side has length $10$,then the maximum possible length of the largest side is<br>
Question 21 :
The dimensions of rectangular field are $23x-10$ and $14x+8$ units. The values of $x$ for which it would be square is
Question 22 :
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 23 :
ABCD is a rectangle such that $AC+AB=5 AD$ and $AC-AD=8$, then the area of rectangle ABCD is 
Question 24 :
What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex?<br>
Question 25 :
A quadrilateral-shaped photo-frame has all sides equal. Which of the following is not a possible shape for the photo-frame.