Question

name the postulate that makes the triangles congruent.

sas
asa
aas
hl

Explanation:

• AAS (Angle - Angle - Side) Postulate:
• In the given triangles \(\triangle ABC\) and \(\triangle ADC\):
• We have two pairs of congruent angles (\(\angle BAC\cong\angle DAC\) and \(\angle ABC\cong\angle ADC\)).
• And one pair of congruent non - included sides (\(BC\cong DC\)).
• The AAS postulate states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.
• For SAS (Side - Angle - Side), we need two sides and the included angle. Here, the side is not included between the two given angles.
• For ASA (Angle - Side - Angle), the side should be included between the two angles.
• For HL (Hypotenuse - Leg), it is applicable only for right - angled triangles. There is no indication that these are right - angled triangles.

Answer:

AAS