Question

5) Choose which postulate proves the triangles congruent.

Answer 1

Answer:

AAS

Step-by-step explanation:

HEHE

Answer 2

     ΔBAC and ΔDAC are the congruent triangles by ASA postulate of the congruence of two triangles.

    In ΔBAC and ΔDAC,

Given properties are,

• AC bisects ∠BAD
• AC bisects ∠BCD

By using these properties,

∠BAD ≅ ∠DAC (Given)

∠BCA ≅ ∠DCB (Given)

AC ≅ AC (Reflexive property)

ΔBAC ≅ ΔDAC (ASA postulate of congruence of two triangles)

      Therefore, ΔBAC and ΔDAC will be congruent by ASA postulate for the congruence of two triangles.

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