Chhattisgarh Board Solutions for Chapter: Congruence, Exercise 5: Exercise

In the figure given below check for congruence. Also write the rule used.

If $\mathrm{AB}=\mathrm{AD}, \angle \mathrm{BAC}=\angle \mathrm{DAC}$ in the following figure, can we write $△\mathrm{ABC}\cong △\mathrm{ADC}$? If yes, why?

$△\mathrm{POQ}$ is an isosceles triangle in which $\mathrm{PQ}=\mathrm{PR}$ and the side $\mathrm{PO}$ bisects $\angle \mathrm{P}$. Write whether the given statement is true or false:

$△\mathrm{POQ}\cong △\mathrm{POR}$

$△\mathrm{PQR}$ is an isosceles triangle in which $\mathrm{PQ}=\mathrm{PR}$ and the side $\mathrm{PO}$ bisects $\angle \mathrm{P}$. Write whether the given statement is true or false:

$△\mathrm{PRO}\cong △\mathrm{PQO}$

$△\mathrm{PQR}$ is an isosceles triangle in which $\mathrm{PQ}=\mathrm{PR}$ and the side $\mathrm{PO}$ bisects $\angle \mathrm{P}$. Write whether the given statement is true or false:

$△\mathrm{PRQ}\cong △\mathrm{PRO}$

In the following figure, $\angle \mathrm{P}=\angle \mathrm{S}=90°$ and $\mathrm{PQ}=\mathrm{SR}$. Are $△\mathrm{PQR}$ and $△\mathrm{SQR}$ congruent? Write reasons.

Some triangle pairs are given. Choose the correct congruent pair?

In two triangles $△\mathrm{PQR}$ and $△\mathrm{SRQ}, \mathrm{PR}=\mathrm{SQ}$ and $\mathrm{PQ}=\mathrm{SR}$, then show that the triangles are congruent and indicate the correspondence.