Question 1 :
State true or false : Diagonals of a rectangle bisect each other and are equal and vice-versa.
Question 2 : <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 3 :
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 4 : <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 5 :
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 6 :
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 MD ⊥AC ?
Question 7 :
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 8 :
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 9 : <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 11 :
Diagonals of a parallelogram are perpendicular to each other. Is this statement true?
Question 12 :
State true or false : In a parallelogram opposite angles are equal.
Question 13 : <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 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 :
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 16 :
ABCD is a rhombus in which altitude from D to side AB bisects AB. Find the $\angle ADC$ of the rhombus.
Question 17 : <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 18 :
All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?
Question 19 :
State true or false: If three out of four points are collinear, we get a triangle
Question 20 : <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 21 :
In quadrilateral ABCD, $\angle A + \angle D = 180^{\circ}$. What special name can be given to this quadrilateral?
Question 22 :
State true or false: Figure formed by joining four points in an order is called a quadrilateral.
Question 23 :
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 24 :
If ABCD is a quadrilateral in which $AB\parallel DC$ and AD = BC, then which of the following statement is true?
Question 25 :
E and F are points on diagonal AC of a parallelogram ABCD such that AE = CF. What would be shape of BFDE?
Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d216f59b460d7261f539.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. Which of the following statement(s) is(are) true?
Question 27 :
If the diagonals of a parallelogram are equal, then it is a ____________.
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 :
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 31 : <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 32 :
State true or false : A quadrilateral is a parallelogram, if its opposite sides are equal.
Question 33 :
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 34 : <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 35 : <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 36 :
D, E and F are the mid-points of the sides BC, CA and AB, respectively of an equilateral triangle ABC. If D,E and F are joined, what type of triangle would be DEF ?
Question 37 :
What is the sum of all the angles of a quadrilateral?
Question 38 :
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 39 : <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 41 :
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 43 : <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 45 : <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 47 :
Diagonals AC and BD of a quadrilateral ABCD intersect each other at O such that OA : OC = 3 : 2. Is ABCD a parallelogram?
Question 48 :
If in a quadrilateral, each pair of opposite angles is equal, then it is a ______________.
Question 49 :
ABCD is a rhombus in which altitude from D to side AB bisects AB. Find the $\angle BCD$ of the rhombus.
Question 50 :
Can all the four angles of a quadrilateral be obtuse angles?
