Question

in the diagram below, triangle cdb is congruent to triangle cdl. match the corresponding parts of these congruent triangles. angle b choose choose angle ldc angle l angle lcd side cd side ld side lc choose angle bcd angle bdc side bc side bd side cd choose choose choose choose

Explanation:

Step1: Recall congruent triangle properties

When \(\triangle CDB\cong\triangle CDL\), corresponding angles and sides are equal.

Step2: Match angles

• For \(\angle B\): In congruent triangles \(\triangle CDB\) and \(\triangle CDL\), \(\angle B\) corresponds to \(\angle L\) (by the order of congruence \(CDB\) and \(CDL\)).
• For \(\angle BCD\): \(\angle BCD\) corresponds to \(\angle LCD\) (as per the congruence of the two triangles).
• For \(\angle BDC\): \(\angle BDC\) corresponds to \(\angle LDC\).

Step3: Match sides

• For \(BC\): \(BC\) corresponds to \(LC\) (from the congruence of the triangles).
• For \(BD\): \(BD\) corresponds to \(LD\).
• For \(CD\): \(CD\) corresponds to \(CD\) (common side in the congruence relation).

Answer:

Angle B: Angle L
Angle BCD: Angle LCD
Angle BDC: Angle LDC
Side BC: Side LC
Side BD: Side LD
Side CD: Side CD