Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d21ff59b460d7261f545.PNG' /> In a parallelogram ABCD shown in the fig above, E and F are the mid-points of sides AB and CD respectively. The line segments AF and EC trisects the diagonal BD. TRUE or FALSE ?

Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d21df59b460d7261f543.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. Is PQ=SR ?

Question 3 : D and E are the mid-points of the sides AB and AC respectively of $\triangle ABC$. DE is produced to F. To prove that CF is equal and parallel to DA, we need an additional information which is

Question 4 : P is the mid-point of the side CD of a parallelogram ABCD. A line through C parallel to PA intersects AB at Q and DA produced at R. Which statement is true for the following condition?

Question 5 : In quadrilateral ABCD, $\angle A + \angle D = 180^{\circ}$. What special name can be given to this quadrilateral?

Question 7 : <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 8 : What is the sum of all the angles of a quadrilateral?

Question 9 : State true or false : In a parallelogram diagonals bisect each other.

Question 10 : State true or false: A rectangle or a rhombus is not a square.

Question 11 : Diagonals AC and BD of a quadrilateral ABCD intersect each other at O such that OA : OC = 3 : 2. Is ABCD a parallelogram?

Question 12 : <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 13 : Can all the four angles of a quadrilateral be obtuse angles?

Question 14 : One angle of a quadrilateral is of $108^{\circ}$ and the remaining three angles are equal. Find each of the three equal angles.

Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d155f59b460d7261f423.jpg' /> In the above figure, through A, B and C, lines RQ, PR and QP have been drawn, respectively parallel to sides BC, CA and AB of a ∆ ABC. What would the value of BC?

Question 16 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d20df59b460d7261f52c.PNG' /> In the above fig, l, m and n are three parallel lines intersected by transversals p and q such that l, m and n cut off equal intercepts AB and BC on p. Does l, m and n cut off equal intercepts DE and EF on q also ?

Question 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d212f59b460d7261f533.PNG' /> ABCD is a parallelogram shown in the above fig and AP and CQ are perpendiculars from vertices A and C on diagonal BD. Is AP = CQ ?

Question 18 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d204f59b460d7261f520.PNG' /> Using the above fig, we can say that if each pair of opposite sides of a quadrilateral is equal, then it is a _______________.

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/61b1d216f59b460d7261f53a.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. Quadrilateral ACFD is a ______________

Question 21 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d213f59b460d7261f535.PNG' /> In parallelogram ABCD shown in the fig above, two points P and Q are taken on diagonal BD such that DP = BQ. Is AQ = CP ?

Question 22 : <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 23 : A diagonal of a rectangle is inclined to one side of the rectangle at $25^{\circ}$. The acute angle between the diagonals is

Question 24 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d21df59b460d7261f542.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. PQRS is a _______________.

Question 25 : State true or false : A quadrilateral is a parallelogram, if its opposite angles are unequal.

Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d203f59b460d7261f51e.PNG' /> In the fig shown above, (vi) is a ___________ ?

Question 28 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d202f59b460d7261f51d.PNG' /> In the fig shown above, (v) is a ___________ ?

Question 29 : State true or false : A quadrilateral is a parallelogram, if its opposite sides are equal.

Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d20ef59b460d7261f52e.PNG' /> In the above fig, diagonal AC of a parallelogram ABCD bisects ∠ A. It bisects ∠ C. TRUE or FALSE ?

Question 31 : The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rhombus, if

Question 32 : If a pair of opposite sides is equal and parallel for a quadrilateral, it is necessarily a ______________.

Question 33 : P, Q, R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD such that $AC\perp BD$. What type of quadrilateral would be formed by joining P, Q, R and S?

Question 34 : Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD.

Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d154f59b460d7261f422.jpg' /> In the above figure, it is given that BDEF and FDCE are parallelograms. Can you say that BD = CD?

Question 36 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d20bf59b460d7261f529.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 PSQR is a _______________.

Question 37 : 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 38 : State true or false : The quadrilateral formed by joining the mid-points of the sides of a quadrilateral, taken in order, is a parallelogram.

Question 39 : If ABCD is a quadrilateral in which $AB\parallel DC$ and AD = BC, then which of the following statement is true?

Question 40 : State true or false : A diagonal of a parallelogram divides it into two congruent triangles.

Question 41 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d20ff59b460d7261f52f.PNG' /> In the above fig, diagonal AC of a parallelogram ABCD bisects ∠ A. ABCD is a ____________.

Question 42 : The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only if,

Question 43 : If bisectors of $\angle A$ and $\angle B$ of a quadrilateral ABCD intersect each other at P, of $\angle B$ and $\angle C$ at Q, of $\angle C$ and $\angle D$ at R and of $\angle D$ and $\angle A$ at S, then PQRS is a

Question 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d20af59b460d7261f527.PNG' /> Using the above fig, identify the quadrilateral formed by the angular bisectors of all the angles of a parallelogram.

Question 45 : If the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a __________.

Question 47 : ABCD is a rectangle in which diagonal BD bisects ∠B. What type of quadrilateral is ABCD?

Question 48 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d212f59b460d7261f534.PNG' /> In parallelogram ABCD shown in the fig above, two points P and Q are taken on diagonal BD such that DP = BQ. APCQ is a ______________.

Question 49 : The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If $\angle DAC = 32^{\circ}$ and $\angle AOB = 70^{\circ}$, then $\angle DBC$ is equal to

Question 50 : Three angles of a quadrilateral ABCD are equal. Is it a parallelogram?