Question 2 :
Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, determine the length of AC.
Question 3 :
ABCD is a rhombus in which altitude from D to side AB bisects AB. Find the $\angle ABC$ of the rhombus.
Question 4 :
State true or false : Diagonals of a square bisect each other at right angles and are equal and vice-versa.
Question 5 : <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 7 :
Can the angles $110^{\circ}$, $80^{\circ}$, $70^{\circ}$ and $95^{\circ}$ be the angles of a quadrilateral?
Question 8 :
State true or false : Diagonals of a rhombus bisect each other at right angles and not vice-versa.
Question 9 :
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 10 :
ABCD is a rhombus such that $\angle ACB = 40^{\circ}$. Then $\angle ADB$ is
Question 11 :
State true or false : In a parallelogram opposite angles are equal.
Question 12 :
State true or false: If all the points are collinear (in the same line), we obtain a line segment.
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 :
State true or false: Figure formed by joining four points in an order is called a quadrilateral.
Question 15 :
State true or false: A rectangle or a rhombus is not a square.
Question 16 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d218f59b460d7261f53c.PNG' />
ABCD is a trapezium given in the above fig in which AB || CD and AD = BC. ∠ A and ∠ B are __________.
Question 17 :
The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only if,
Question 18 :
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 19 :
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 20 : <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 22 : <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 23 :
What type of quadrilateral is formed by the bisectors of the angles of a parallelogram?
Question 24 : <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 25 :
In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of $\angle A$ meets DC in E. AE and BC produced meet at F. Find the length of CF.
Question 26 :
Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD.
Question 27 :
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 28 :
State true or false : A diagonal of a parallelogram divides it into two congruent triangles.
Question 29 :
State true or false : The line-segment joining the mid-points of any two sides of a triangle is parallel to the third side and is half of it.
Question 30 :
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 32 :
Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, determine the length of BD.
Question 33 :
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 34 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d201f59b460d7261f51c.PNG' />
In the fig shown above, (iv) is a ___________ ?
Question 36 :
In quadrilateral ABCD, $\angle A + \angle D = 180^{\circ}$. What special name can be given to this quadrilateral?
Question 37 :
ABCD is a rectangle in which diagonal AC bisects ∠ A as well as ∠ C. ABCD is a _________.
Question 38 : <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 39 : <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 40 : <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 41 :
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 42 : <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 43 :
One angle of a quadrilateral is of $108^{\circ}$ and the remaining three angles are equal. Find each of the three equal angles.
Question 44 :
P and Q are the mid-points of the opposite sides AB and CD of a parallelogram ABCD. AQ intersects DP at S and BQ intersects CP at R. What type of quadrilateral would be PRQS?
Question 45 :
ABCD is a rhombus and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. The quadrilateral PQRS is a ________________.
Question 46 :
If ABCD is a quadrilateral in which $AB\parallel DC$ and AD = BC, then which of the following statement is true?
Question 48 : <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 49 : <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 50 :
State true or false: If no three points out of four are collinear, we obtain a closed figure with four sides.
