Question 1 :
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 2 :
Two triangles having the same base (or equal bases) and equal areas need not necessarily lie between the same parallels. TRUE or FALSE?

Question 3 :
<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 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d19ff59b460d7261f48e.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 $ar\left(CYXE\right)=0.5ar\left(FCB\right)$?

Question 5 :
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 6 :
<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 7 :
Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Is $ar\left(APB\right)\times ar\left(CPD\right)=ar\left(APD\right)\times ar\left(BPC\right)$ ?

Question 8 :
If E,F,G and H are respectively the mid-points of the sides of a parallelogram ABCD, then is $ar\left(EFGH\right)=\frac{1}{2}ar\left(ABCD\right)$?

Question 9 :
<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 10 :
<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 11 :
<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 12 :
<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 13 :
<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 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 :
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 $ar\left(ABC\right)=ar\left(ACF\right)$?