Question : $\triangle \mathrm{ABC}$ and $\triangle \mathrm{DEF}$ are two triangles such that $\triangle \mathrm{ABC} \cong \triangle \mathrm{FDE}$. If AB = 5 cm, $\angle$B = 40° and $\angle$A = 80°, then which of the following options is true?

Option 1: DF = 5 cm, $\angle$E = 60°

Option 2: DE = 5 cm, $\angle$F = 60°

Option 3:  DE = 5 cm, $\angle$D = 60°

Option 4: DE = 5 cm, $\angle$E = 60°

Question : If $\triangle$DEF is right-angled at E, DE = 15, and $\angle$DFE = 60° then, what is the value of EF?

Option 1: $5\sqrt3$

Option 2: $5$

Option 3: $15$

Option 4: $30$

Question : A sector of a circle has a central angle of 45° and an arc length of 22 cm. Find the radius of the circle. ( Use $\pi=\frac{22}{7}$)

Option 1: 32 cm

Option 2: 35 cm

Option 3: 28 cm

Option 4: 36 cm

Question : ABC is an equilateral triangle points D, E and F are taken in sides AB, BC and CA respectively so that, AD = BE = CF. Then DE, EF, and FD enclose a triangle which is:

Option 1: equilateral

Option 2: isosceles

Option 3: right angled

Option 4: none

Question : In a triangle ABC, $\angle$BAC = 90°. If BC = 25 cm, then what is the length of the median AD?

Option 1: 10 cm

Option 2: 12.5 cm

Option 3: 14.5 cm

Option 4: 24 cm