Question 1 :
The line segments joining the mid-points of the opposite sides of a quadrilateral ________ each other.

Question 2 :
P, Q, R and S are respectively the mid-points of sides AB, BC, CD and DA of quadrilateral ABCD in which AC = BD and $AC\perp BD$.What type of quadrilateral is PQRS?

Question 3 :
State true or false: Figure formed by joining four points in an order is called a quadrilateral.

Question 4 :
Diagonals of a rectangle are equal and perpendicular. Is this statement true?

Question 5 :
One angle of a quadrilateral is of $108^{\circ}$ and the remaining three angles are equal. Find each of the three equal angles.

Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d200f59b460d7261f51a.PNG' /> Which of the fig shown above is a parallelogram ?

Question 8 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d154f59b460d7261f421.jpg' /> In the above figure, ABCD and AEFG are two parallelograms. If $\angle C = 55^{\circ}$, determine $\angle F$.

Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d208f59b460d7261f525.PNG' /> In the above fig, ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle PAC and CD || AB . ABCD is a ____________.

Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d216f59b460d7261f539.PNG' /> In ∆ ABC and ∆ DEF in the above fig, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively. Which of the following statement(s) is(are) true?

Question 11 :
ABCD is a rectangle in which diagonal AC bisects ∠ A as well as ∠ C. Does the diagonal BD bisects ∠ B as well as ∠ D ?

Question 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d21af59b460d7261f53f.PNG' /> ABCD is a trapezium given in the above fig in which AB || CD and AD = BC. ∠ C and ∠ D are __________.

Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d21bf59b460d7261f540.PNG' /> ABCD is a trapezium given in the above fig in which AB || CD and AD = BC. Diagonals AC and BD are unequal. TRUE or FALSE ?

Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1fef59b460d7261f517.PNG' /> In quadrilateral ABCD shown in the above fig, which of the following are its diagonals ?

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d20cf59b460d7261f52a.PNG' /> In the above fig, ABCD is a parallelogram in which P and Q are mid-points of opposite sides AB and CD. If AQ intersects DP at S and BQ intersects CP at R, then DPBQ is a ______________.

Question 18 :
According to the Converse of Mid Point theorem, the line drawn through the mid-point of one side of a triangle, parallel to another side ___________ the third side.

Question 19 :
Can all the four angles of a quadrilateral be obtuse angles?