Question 1 :
The four angles of a quadrilateral are as $3 : 5 : 7 :9$. Find the angles<br/>

Question 2 :
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 3 :
If the perimeter of a parallelogram is $50$ cm and one side is $12$ cm. what is the measure of the other side ?

Question 4 :
State true or false:<br/>In quadrilateral ABCD, the diagonals AC and BD intersect each each other at right angle, then&#160;$ AB^2 + CD^2 = AC^2 + DA^2$<br/><br/>

Question 5 :
What is the minimum possible perimeter of a quadrilateral with an area of $1,600$ square feet?

Question 6 :
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 7 :
State true or false:<br/>$&#160;D, E&#160;$&#160;and&#160;$&#160;F&#160;$&#160;are the mid-points of the sides&#160;$&#160;AB, BC&#160;$&#160;and &#160;$&#160;CA&#160;$&#160;of&#160;an&#160;isosceles&#160;$&#160;\bigtriangleup&#160;ABC&#160;$ &#160;in which $ AB= BC $. then<br/>&#160;$&#160;\bigtriangleup&#160;DEF&#160;$ &#160;is also isosceles.<br/><br/>

Question 9 :
Fill in the blanks:<br/>(i) The ling segment joining a vertex of a triangle to the midpoint of its opposite side is called a $\underline { P } $ of the triangle.<br/>(ii) The perpendicular line segment from a vertex of a triangle to its opposite is called an $\underline { Q } $ of the triangle<br/>(iii) A triangle has $\underline { R } $ altitudes and $\underline { S } $ medians

Question 10 :
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the _______ side.<br/>

Question 12 :
State whether the given Question is True or False?The diagonals of a parallelogram bisect each other.

Question 13 :
In a quadrilateral ABCD, $\angle A + \angle C = 180^{\circ}$ then $\angle B + \angle D = $

Question 14 :
The measure of an angle of a parallelogram is $70^0$. Find its remaining angles.

Question 15 :
Two parallelograms stand on equal bases and between the same parallels. The ratio of their areas is

Question 16 :
Fill in the blank:<br/>Line joining the mid-points of any two sides of a triangle is _____ to the third side.<br/>

Question 17 :
Three angles of a quadrilateral are $75^{\circ}, 90^{\circ}$ and $75^{\circ}$. The measure of fourth angle is?<br/>

Question 18 :
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 20 :
State true or false:<br/>In a parallelogram, the diagonals intersect at right angles