Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d21ef59b460d7261f544.PNG' />
In the above fig, ABCD is a trapezium in which AB || DC, BD is a diagonal and E is the mid-point of AD. A line is drawn through E parallel to AB intersecting BC at F. F ____________ BC.
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1fff59b460d7261f519.PNG' />
Which of the fig shown above is a trapezium ?
Question 3 :
E is the mid-point of a median AD of ∆ABC and BE is produced to meet AC at F.Determine the value of AF.
Question 4 :
Diagonals of a parallelogram are perpendicular to each other. Is this statement true?
Question 6 :
Can the angles $110^{\circ}$, $80^{\circ}$, $70^{\circ}$ and $95^{\circ}$ be the angles of a quadrilateral?
Question 7 :
The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.
Question 9 : <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 10 :
ABCD is a parallelogram. If its diagonals are equal, then find the value of $\angle ABC$.
Question 11 :
If a pair of opposite sides is equal and parallel for a quadrilateral, it is necessarily a ______________.
Question 12 :
ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Is D the mid-point of AC?
Question 13 : <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 14 :
If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form
Question 15 : <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 ______________.
Question 16 :
Can all the four angles of a quadrilateral be obtuse angles?
Question 17 :
State true or false: A rectangle or a rhombus is not a square.
Question 18 :
State true or false : In a parallelogram opposite angles are equal.
Question 19 :
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 20 : <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 21 :
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 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d214f59b460d7261f537.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 ABED is a ______________
Question 23 : <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 24 :
One angle of a quadrilateral is of $108^{\circ}$ and the remaining three angles are equal. Find each of the three equal angles.
Question 25 : <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 26 :
Three angles of a quadrilateral are $75^{\circ}$, $90^{\circ}$ and $75^{\circ}$. The fourth angle is
Question 28 :
The diagonals of a ___________ are equal and bisect each other at right angles.
Question 29 :
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 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d158f59b460d7261f427.jpg' />
In the above figure, X and Y are respectively the mid-points of the opposite sides AD and BC of a parallelogram ABCD. Also, BX and DY intersect AC at P and Q, respectively.Which statement is true for the given parallelogram?
Question 31 :
If in a quadrilateral, each pair of opposite angles is equal, then it is a ______________.
Question 32 :
If the diagonals of a quadrilateral bisect each other at right angles, then it is a ________.
Question 34 :
A diagonal of a parallelogram divides it into two ____________ triangles.
Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d215f59b460d7261f538.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 BEFC is a ______________
