Question : The midpoints of AB and AC of a $\triangle$ABC are X and Y, respectively. If BC + XY = 24 units, then the value of BC − XY is:

Option 1: 5 cm

Option 2: 4 cm

Option 3: 6 cm

Option 4: 8 cm

Question : The midpoints of AB and AC of a $\triangle ABC$ are X and Y, respectively. If BC + XY = 18 cm, then the value of BC – XY is:

Option 1: 12 cm

Option 2: 6 cm

Option 3: 8 cm

Option 4: 4 cm

Question : The lengths of the parallel sides of a trapezium are $x$ cm and $y$ cm and the area of the trapezium is $\frac{1}{2}\left(x^2-y^2\right) cm^2$. What is the distance between the parallel sides (in cm )?

Option 1: $x$ - $y$

Option 2: $x$ + $y$

Option 3: $y$

Option 4: $x$

Question : $\triangle$ABC is similar to $\triangle$PQR. The length of AB is 16 cm and the length of the corresponding side PQ is 9 cm. If the area of $\triangle$ABC is 1024 sq. cm, what is the area of $\triangle$PQR?

Option 1: 768 sq. cm

Option 2: 32 sq. cm

Option 3: 324 sq. cm

Option 4: 128 sq. cm