Answer:
See explanation
Step-by-step explanation:
(i) Consider triangles ABC and ADC. In these triangles:
- [tex]AB=AD[/tex] - given;
- [tex]\angle BAC=\angle DAC[/tex] - given;
- [tex]AC=AC[/tex] - reflective property.
So, [tex]\triangle ABC\cong \triangle ADC[/tex] by SAS postulate.
(ii) Congruent triangles have congruent corresponding parts:
(a) [tex]\angle ABC=\angle ADC[/tex]
(b) [tex]\angle ACD=\angle ACB[/tex]
(c) Line segment AC bisects [tex]\angle BAD[/tex] and [tex]\angle BCD.[/tex]
