Question : If in $\triangle PQR$ and $\triangle DEF, \angle P=52^{\circ}, \angle Q=74^{\circ}, \angle R=54^{\circ}, \angle D=54^{\circ}, \angle E=74^{\circ}$ and $\angle F=52^{\circ}$, then which of the following is correct?

Option 1: $\triangle \mathrm{PQR} \sim \triangle \mathrm{FED}$

Option 2: $\triangle \mathrm{RQP} \sim \triangle \mathrm{FED}$

Option 3: $\triangle \mathrm{PRQ} \sim \Delta \mathrm{FED}$

Option 4: $\triangle \mathrm{PQR} \sim \triangle \mathrm{DEF}$

Question : In $\triangle \mathrm{PQR}, \angle \mathrm{P}=46^{\circ}$ and $\angle \mathrm{R}=64^{\circ}$.If $\triangle \mathrm{PQR}$ is similar to $\triangle \mathrm{ABC}$ and in correspondence, then what is the value of $\angle \mathrm{B}$?

Option 1: 70°

Option 2: 90°

Option 3: 100°

Option 4: 110°

Question : If $\triangle{PQR} \cong \triangle{STR}, \angle {Q}=50^{\circ}$ and $\angle {P}=70^{\circ}$ and ${PQ}$ is $8 {~cm}$. Which of the following options is NOT correct?

Option 1: $\angle {TSR}=80^{\circ}$

Option 2: $\angle {PRT}=60^{\circ}$

Option 3: ${PR}={RS}$

Option 4: ${TR}={RQ}$

Question : It is given that $\triangle \mathrm{ABC} \cong \triangle \mathrm{FDE}$ and $\mathrm{AB}=5 \mathrm{~cm}, \angle \mathrm{B}=40^{\circ}$ and $\angle \mathrm{A}=80^{\circ}$. Then which of the following is true?

Option 1: $\mathrm{DE}=5 \mathrm{~cm} \text{ and }\angle \mathrm{D}=40^{\circ}$

Option 2: $\mathrm{DE}=5 \mathrm{~cm}\text{ and }\angle \mathrm{E}=60^{\circ}$

Option 3: $\mathrm{DF}=5 \mathrm{~cm}\text{ and } \angle \mathrm{F}=60^{\circ}$

Option 4: $\mathrm{DF}=5 \mathrm{~cm}\text{ and }\angle \mathrm{E}=60^{\circ}$

Question : Two similar triangles are given i.e. $\triangle$LMN ~ $\triangle$PQR, with measurement of angle and side as $\angle$ L = 40°, $\angle$ N = 80°, LM = 6 cm, LN = 8 cm and PQ = 7.5 cm. Find the value of $\angle$ Q and side PR, respectively.

Option 1: 60° and 20 cm

Option 2: 50° and 6.5 cm

Option 3: 40° and 10 cm

Option 4: 60° and 10 cm