Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d18ef59b460d7261f475.PNG' /> In the above fig, E is any point on median AD of a $\triangle ABC$. Is $ar\left(ABE\right)=ar\left(CDE\right)$?

Question 2 :
Diagonals AC and BD of a trapezium ABCD with $AB\parallel DC$ intersect each other at O. Is $ar\left(AOD\right)=ar\left(BOC\right)$?

Question 3 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d19ef59b460d7261f48d.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 $ar\left(CYXE\right)=ar\left(ACFG\right)$?

Question 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d19df59b460d7261f48c.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 $ar\left(BCED\right)=ar\left(ABMN\right)-ar\left(ACFG\right)$?

Question 5 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d19bf59b460d7261f489.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 $ar\left(BYXD\right)=0.5ar\left(MBC\right)$?

Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d18bf59b460d7261f471.PNG' /> In the above fig, P is a point in the interior of a parallelogram ABCD. Is $ar\left(APB\right)-ar\left(PCD\right)=0.5ar\left(ABCD\right)$?

Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d18af59b460d7261f46f.JPG' /> In the above fig, name the common base and the two parallels.

Question 8 :
<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 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d193f59b460d7261f47c.PNG' /> In the above fig, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Is $ar\left(AEDF\right)=ar\left(ABCDE\right)$?

Question 10 :
<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 11 :
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 $ar\left(PBQ\right)=ar\left(ARC\right)$?

Question 12 :
The diagonals of a parallelogram divide it into four triangles of equal area. TRUE or FALSE?

Question 13 :
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 14 :
XY is a line parallel to side BC of a triangle ABC. If $BE\parallel AC$ and $CF\parallel AB$ meet XY at Eand F respectively, Is $ar\left(ABC\right)=ar\left(ACF\right)$?

Question 15 :
In a triangle ABC, E is the mid-point of median AD. Is $ar\left(BED\right)=0.25ar\left(ABC\right)$?

Question 16 :
Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that $ar\left(AOD\right)=ar\left(BOC\right)$. ABCD is a ____________.

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d197f59b460d7261f482.PNG' /> In the above fig, ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, Is $ar\left(BPC\right)=ar\left(DPQ\right)$?

Question 18 :
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 19 :
Two triangles on the same base (or equal bases) and between the same parallels are equal in area. TRUE or FALSE?

Question 20 :
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 $3ar\left(PRQ\right)=8ar\left(ARC\right)$?