Question 1 :
Diagonals of a quadrilateral ABCD bisect each other. If $\angle A = 35^{\circ}$, determine $\angle B$.
Question 2 :
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 3 :
What is the sum of all the angles of a quadrilateral?
Question 4 :
If the diagonals of a quadrilateral bisect each other at right angles, then it is a ________.
Question 5 :
State true or false : A quadrilateral is a parallelogram, if its diagonals bisect each other.
Question 6 :
<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 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1fff59b460d7261f518.PNG' />
Which of the fig shown above is/ are quadrilaterals ?
Question 8 :
State true or false : A line drawn through the mid-point of a side of a triangle parallel to another side bisects the third side.
Question 9 :
A diagonal of a rectangle is inclined to one side of the rectangle at $25^{\circ}$. The acute angle between the diagonals is
Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d205f59b460d7261f521.PNG' />
Using the above fig, we can say that in a parallelogram, opposite sides are ________.
Question 12 :
E and F are points on diagonal AC of a parallelogram ABCD such that AE = CF. What would be shape of BFDE?
Question 14 :
P, Q, R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD in which AC = BD. Quadrilateral formed by joining P,Q,R and S would be
Question 15 :
ABCD is a trapezium in which $AB\parallel DC$ and $\angle A = \angle B = 45^{\circ}$. Find angles C and D of the trapezium
Question 16 :
State true or false : A quadrilateral is a parallelogram, if a pair of opposite sides is equal and parallel.
Question 17 :
Three angles of a quadrilateral ABCD are equal. Is it a parallelogram?
Question 18 :
ABCD is a parallelogram. If its diagonals are equal, then find the value of $\angle ABC$.
Question 19 :
If in a quadrilateral, each pair of opposite angles is equal, then it is a ______________.
Question 20 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d21cf59b460d7261f541.PNG' />
In the above fig, ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA. AC is a diagonal. SR and AC are related as ______________.