Question 1 : <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 2 : <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 5 :
A diagonal of a parallelogram divides it into two ____________ triangles.
Question 7 : <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 8 :
State true or false : In a parallelogram opposite sides are not equal.
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d210f59b460d7261f531.PNG' />
In parallelogram ABCD shown in the fig above, two points P and Q are taken on diagonal BD such that DP = BQ. Is AP $\neq$ CQ ?
Question 10 : <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 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d203f59b460d7261f51f.PNG' />
Which of the two fig shown above has a smaller area ?
Question 12 : <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 13 : <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 15 :
If a pair of opposite sides is equal and parallel for a quadrilateral, it is necessarily a ______________.
Question 16 :
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if
Question 17 :
State true or false: If three out of four points are collinear, we get a triangle
Question 18 : <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 19 :
State true or false: A rectangle or a rhombus is not a square.
Question 20 :
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 21 :
Diagonals of a parallelogram are perpendicular to each other. Is this statement true?
Question 22 :
If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form
Question 23 :
The line segments joining the mid-points of the opposite sides of a quadrilateral ________ each other.
Question 24 :
State true or false : In a parallelogram diagonals bisect each other.
Question 25 :
In $\triangle ABC$, AB = 5 cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE.
Question 26 :
If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3:7:6:4, then ABCD is a
Question 27 : <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 28 :
ABCD is a rectangle in which diagonal BD bisects ∠B. What type of quadrilateral is ABCD?
Question 29 :
Diagonals of a rectangle are equal and perpendicular. Is this statement true?
Question 30 :
State true or false : A quadrilateral is a parallelogram, if a pair of opposite sides is equal and parallel.
Question 31 :
If the diagonals of a quadrilateral bisect each other at right angles, then it is a ________.
Question 32 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d217f59b460d7261f53b.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. Is AC = DF ?
Question 33 :
Can all the four angles of a quadrilateral be obtuse angles?
Question 34 : <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 35 :
One angle of a quadrilateral is of $108^{\circ}$ and the remaining three angles are equal. Find each of the three equal angles.
Question 36 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d207f59b460d7261f523.PNG' />
Using the above fig, we can say that the diagonals of a parallelogram ___________ each other.
Question 37 : <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 38 :
If ABCD is a quadrilateral in which $AB\parallel DC$ and AD = BC, then which of the following statement is true?
Question 39 : <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 41 : <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 44 :
E and F are respectively the mid-points of the non-parallel sides AD and BC of a trapezium ABCD. What would be the value of EF?
Question 45 :
According to the Mid Point theorem, the line segment joining the mid-points of two sides of a triangle is ___________ to the third side and _______ of it.
Question 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d20cf59b460d7261f52b.PNG' />
In ∆ ABC shown in the above fig, D, E and F are respectively the mid-points of sides AB, BC and CA. ∆ ABC is divided into four triangles by joining D, E and F. How many of these triangles are congruent ?
Question 47 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d211f59b460d7261f532.PNG' />
In parallelogram ABCD shown in the fig above, two points P and Q are taken on diagonal BD such that DP = BQ. Is ∆ AQB ≅∆ CPD ?
Question 48 :
State true or false : A quadrilateral is a parallelogram, if its opposite sides are equal.
Question 49 : <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 50 :
Three angles of a quadrilateral are $75^{\circ}$, $90^{\circ}$ and $75^{\circ}$. The fourth angle is
