If$\Delta XYZ ~ \Delta LMN$write the corresponding angles of the two triangles and also write the ratios of corresponding sides.

In $\Delta XYZ$, $XY=$$4 \mathrm{cm}$, $YZ=$$6 \mathrm{cm}$, $XZ=$$5 \mathrm{cm}$, if $\Delta XYZ ~ \Delta PQR$ and $PQ=8 \mathrm{cm}$, then find the lengths of remaining sides of $\Delta PQR.$

Draw a sketch of a pair of similar triangles. Label them. Show their corresponding angles by the same signs. Show the lengths of corresponding sides by numbers in proportion.

If two sides of a triangle are $5 \mathrm{cm}$ and $1.5 \mathrm{cm}$, the length of its third side cannot be

In $\Delta PQR$, if $\angle R>\angle Q$ then

In $\Delta TPQ,\angle T = {65}^0,\angle P = {95}^0$, which is a true statement?

$∆ABC$ is isosceles in which $AB=AC$. Segment $BD$ and segment $CE$ are medians. Show that $BD=CE$.

In $\Delta PQR$, if $PQ>PR$ and bisectors of $\angle Q$ and$\angle R$ intersects at $S$. Shows that $SQ>SR.$

In figure, point $D$ and $E$ are on side $BC$ of$\Delta ABD,$ such that $BD=CE$ and $AD=AE.$ Show that $\Delta ABD \cong \Delta ACE.$