91Ó°ÊÓ

A triangle is a polygon with three edges and three vertices.

In $\mathrm{Δ}RTS$, $RS=4cm$, $m∠S=45$and $ST=6cm$.

Therefore, $\mathrm{Δ}RTS$will be congruent to that of the classmates because the two sides and an angle are specified.

A triangle is a polygon with three edges and three vertices.

In $\mathrm{Δ}UVW$, $m∠U=30$, $UV=5cm$and $m∠V=100$.

Therefore, $\mathrm{Δ}UVW$ will be congruent to that of the classmates because the two angles and one side are specified.

A triangle is a polygon with three edges and three vertices.

In $\mathrm{Δ}DEF,m∠D=30,m∠E=68$and $m∠F=82$.

Since for drawing a triangle at least one side should be known.

So, a triangle that is congruent to that of the classmates is not possible here as only the angles are given and no sides, and the sides will vary for each of the classmates.

Therefore, $\mathrm{Δ}DEF$will not be congruent to that of the classmates because they can choose the different measurements of sides.

A triangle is a polygon with three edges and three vertices.

In $\mathrm{Δ}XYZ,XY=3cm,YZ=5cm$and $XZ=6cm$.

Therefore, $\mathrm{Δ}XYZ$will be congruent to that of the classmates because of the SSS postulate.