Question

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Answer 1

Answer:

See explanation

Step-by-step explanation:

(i) Consider triangles ABC and ADC. In these triangles:

• $AB=AD$ - given;
• $\angle BAC=\angle DAC$ - given;
• $AC=AC$ - reflective property.

So, $\triangle ABC\cong \triangle ADC$ by SAS postulate.

(ii) Congruent triangles have congruent corresponding parts:

(a) $\angle ABC=\angle ADC$

(b) $\angle ACD=\angle ACB$

(c) Line segment AC bisects $\angle BAD$ and $\angle BCD.$