Question 1 :
<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 2 :
<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 3 :
Two figures are called congruent, if they have the same _____________.

Question 4 :
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 5 :
<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 6 :
D, E and F are respectively the mid-points of the sides BC, CA and AB of a $\triangle ABC$. BDEF is a ______________.

Question 7 :
D, E and F are respectively the mid-points of the sides BC, CA and AB of a $\triangle ABC$. Is $ar\left(BDEF\right)=0.5ar\left(ABC\right)$?

Question 8 :
<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 9 :
<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 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 :
In a triangle ABC, E is the mid-point of median AD. Is $ar\left(BED\right)=0.25ar\left(ABC\right)$?

Question 12 :
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 13 :
<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.

Question 14 :
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 $3ar\left(PRQ\right)=8ar\left(ARC\right)$?

Question 15 :
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 16 :
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 17 :
<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 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 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d19af59b460d7261f487.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 $ar\left(FED\right)=\frac{1}{8}ar\left(AFC\right)$?

Question 20 :
<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.