Question

how can I use deductive reasoning to show that AC =DF

Answer 1

Given Two triangles, ABC and DEF

AT both:

1. m< B = m < E given

2. m< C = m < F given

3. AB = DE given

So, the triangle ABC is congruent to the triangle DEF by AAS ( angle - angle - side )

AS a result of congruent :

The corresponding parts will be congruent

So, AC = DF