Question 1 :
A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the fields is divided? What are the shapes of these parts? The farmer wants to sow wheat and pulses in equal portions of the field separately. How should she do it?
Question 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d18df59b460d7261f473.PNG' />
In the above fig, PQRS and ABRS are parallelograms and X is any point on side BR. Is $ar\left(PQRS\right)=ar\left(ABRS\right)$?
Question 3 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d19df59b460d7261f48b.PNG' />
In the above fig, ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB respectively. Line segment $AX\perp DE$ meets BC at Y. Is $\triangle FCB\cong\triangle ACE$?
Question 4 :
P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD. $ar\left(APB\right)$ is __________ to $ar\left(BQC\right)$.
Question 5 :
D, E and F are respectively the mid-points of the sides BC, CA and AB of a $\triangle ABC$. Is $ar\left(DEF\right)=0.25ar\left(ABC\right)$ ?
Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d189f59b460d7261f46e.JPG' />
In the above fig, name the common base and the two parallels.
Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d18cf59b460d7261f472.PNG' />
In the above fig, P is a point in the interior of a parallelogram ABCD. Is $ar\left(APD\right)+ar\left(PBC\right)=ar\left(APB\right)+ar\left(PCD\right)$?
Question 8 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d196f59b460d7261f481.PNG' />
In the above fig, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F then, is $ar\left(BDE\right)=ar\left(ABC\right)$?
Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d198f59b460d7261f484.PNG' />
In the above fig, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F then, is $ar\left(ABC\right)=0.5ar\left(BEC\right)$ ?
Question 10 :
Two triangles on the same base (or equal bases) and between the same parallels are equal in area. TRUE or FALSE?
Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d192f59b460d7261f47b.PNG' />
In the above fig, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Is $ar\left(ACB\right)=ar\left(ACE\right)$?
Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d191f59b460d7261f47a.PNG' />
In the above fig, the side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed. Is $ar\left(ABCD\right)=ar\left(PQBR\right)$?
Question 13 :
ABCD is a trapezium with $AB\parallel DC$. A line parallel to AC intersects AB at X and BC at Y. Is $ar\left(ADX\right)=ar\left(ACY\right)$?
Question 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d190f59b460d7261f478.PNG' />
In the above fig, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then is $ar\left(DCB\right)=ar\left(ACB\right)$?
Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d188f59b460d7261f46c.JPG' />
Which of the above figures lie on the same base and between the same parallels?
Question 16 :
P and Q are respectively the mid-points of sides AB and BC of a triangle ABC and R is the mid-point of AP, Is $ar\left(PRQ\right)=2ar\left(ARC\right)$?
Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d194f59b460d7261f47e.PNG' />
In the above fig, $ar\left(DPC\right)=ar\left(DRC\right)$ and $ar\left(ARC\right)=ar\left(BDP\right)$. Quadrilaterals ABCD and DCPR are __________________.
Question 18 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d18df59b460d7261f474.PNG' />
In the above fig, PQRS and ABRS are parallelograms and X is any point on side BR. Is $ar\left(AXS\right)=0.5ar\left(PQRS\right)$ ?
Question 19 :
Parallelogram ABCD and rectangle ABEF are on the same base AB and have equalareas. The perimeter of the parallelogram is _____________ that of the rectangle.
Question 20 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d189f59b460d7261f46d.JPG' />
In the above fig, name the common base and the two parallels.