Question

in the diagram below, triangle bdc is congruent to triangle mlk. match the corresponding parts of these congruent triangles. angle b choose choose side ml angle k angle l side mk angle m side lk angle d choose angle c choose side bd choose side dc choose side bc choose

Explanation:

Angle B

Since \(\triangle BDC\cong\triangle MLK\), by the property of congruent triangles (corresponding parts of congruent triangles are equal - CPCTC), when we match the vertices \(B\) in \(\triangle BDC\) and \(M\) in \(\triangle MLK\) (because of the order of congruence \(\triangle BDC\cong\triangle MLK\)), \(\angle B\) corresponds to \(\angle M\).

Angle D

For \(\angle D\) in \(\triangle BDC\), using the order of congruence \(\triangle BDC\cong\triangle MLK\), the vertex \(D\) corresponds to vertex \(K\). So \(\angle D\) corresponds to \(\angle K\).

Angle C

For \(\angle C\) in \(\triangle BDC\), using the order of congruence \(\triangle BDC\cong\triangle MLK\), the vertex \(C\) corresponds to vertex \(L\). So \(\angle C\) corresponds to \(\angle L\).

Side BD

For side \(BD\) in \(\triangle BDC\), using the order of congruence \(\triangle BDC\cong\triangle MLK\), side \(BD\) (with vertices \(B\) and \(D\)) corresponds to side \(MK\) (with vertices \(M\) and \(K\)).

Side DC

For side \(DC\) in \(\triangle BDC\), using the order of congruence \(\triangle BDC\cong\triangle MLK\), side \(DC\) (with vertices \(D\) and \(C\)) corresponds to side \(LK\) (with vertices \(L\) and \(K\)).

Side BC

For side \(BC\) in \(\triangle BDC\), using the order of congruence \(\triangle BDC\cong\triangle MLK\), side \(BC\) (with vertices \(B\) and \(C\)) corresponds to side \(ML\) (with vertices \(M\) and \(L\)).

Answer:

Angle B: Angle M
Angle D: Angle K
Angle C: Angle L
Side BD: Side MK
Side DC: Side LK
Side BC: Side ML