Explain Why the Indicated Triangles Are Congruent$\mathrm{NK}=\mathrm{LK} . \quad \triangle \mathrm{NKM} \cong \triangle \mathrm{LKM}$

Question

Examlex · Accepted Answer

The Answer is Since

\mathrm{NK}=\mathrm{LK}, \overline{\mathrm{KN}} \cong \overline{\mathrm{KL}}

.

riangle \mathrm{NKM} \cong riangle \mathrm{LKM}

is given.

\overline{\mathrm{KM}} \cong \overline{\mathrm{KM}}

. So two sides and an included angle of

riangle \mathrm{KKM}

are congruent to the corresponding parts of

riangle \mathrm{NKM}

. So

riangle \mathrm{LKM} \cong \Delta \mathrm{NKM}

by SAS. Since

riangle \mathrm{LKM} \cong \Delta \mathrm{NKM}, \overline{\mathrm{NM}} \cong \overline{\mathrm{LM}}

and therefore

\mathrm{NM}=\mathrm{LM}

.

Explain Why the Indicated Triangles Are Congruent $\mathrm{NK}=\mathrm{LK} . \quad \triangle \mathrm{NKM} \cong \triangle \mathrm{LKM}$