Question 1 :
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 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d195f59b460d7261f480.PNG' /> In the above fig, ABCD, DCFE and ABFE are parallelograms. Is $ar\left(ADE\right)=ar\left(BCF\right)$?

Question 3 :
<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 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 :
<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 6 :
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 7 :
D and E are points on sides AB and AC respectively of $\triangle ABC$ such that $ar\left(DBC\right)=ar\left(EBC\right)$ . Is $DE\parallel BC$?

Question 8 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d187f59b460d7261f46b.PNG' /> In the above fig, ABCD is a quadrilateral and $BE\parallel AC$ and also BE meets DC produced at E. Is the area of triangle ADE equal to the area of the quadrilateral ABCD?

Question 9 :
Two figures are called congruent, if they have the same _____________.

Question 10 :
<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 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 :
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 13 :
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 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d18ff59b460d7261f477.PNG' /> In the above fig, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then is $ar\left(DOC\right)=ar\left(AOB\right)$?

Question 15 :
If E,F,G and H are respectively the mid-points of the sides of a parallelogram ABCD, then is $ar\left(EFGH\right)=\frac{1}{2}ar\left(ABCD\right)$?