Question : $\triangle ABC \sim \triangle DEF$ such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of $\triangle DEF = 25$ cm, then the perimeter of $\triangle ABC$ is:

Option 1: 40 cm

Option 2: 30 cm

Option 3: 35 cm

Option 4: 45 cm

Question : For congruent triangles $\triangle$ABC and $\triangle$DEF, which of the following statements is correct?

Option 1: Perimeter of $\triangle \mathrm{ABC}=\frac{1}{2}$ Perimeter of $\triangle \mathrm{DEF}$

Option 2: Perimeter of $\triangle \mathrm{ABC}=$ Perimeter of $\triangle \mathrm{DEF}$

Option 3: Perimeter of $\triangle \mathrm{ABC}<$ Perimeter of $\triangle \mathrm{DEF}$

Option 4: Perimeter of $\triangle \mathrm{ABC}>$ Perimeter of $\triangle \mathrm{DEF}$

Question : DE is a chord and KDE is a secant of a circle. If KD = 9 cm, DE = 7 cm and KH is a tangent to the circle at point H, find KH.

Option 1: 12 cm

Option 2: 25 cm

Option 3: 16 cm

Option 4: 144 cm

Question :
In the figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 20 cm, PB = 12 cm, and CP = 8 cm, then find the measure of PD.

Option 1: 12 cm

Option 2: 11 cm

Option 3: 22 cm

Option 4: 14 cm

Question :
BD and CE are the two medians of the triangle ABC. If EO is 7 cm, then the length of CE is:

Option 1: 28 cm

Option 2: 14 cm

Option 3: 21 cm

Option 4: 35 cm