Prove the triangle

Question

1. Prove that triangle ABF is similar to triangle DEF. Ensure you follow proper proof form. For extra help, review the second example from the Similar Triangles lesson. (4 marks)

Find the lengths of sides a  and b in triangle ABF from question #1. (3 marks)

Answer 1

Statement Reason

1 - AB || ED Given

2 - ABC ==~ FDE Parellel lines cut by a transversal, alternate

interior angles are congruent

3 - BAF ==~ FED Parellel lines cut by a transversal, alternate

interior angles are congruent

4 - AFB ==~ EFD Two lines intersect, vertical angles are congruent

5 - Triangle ABF Two triangles where 3 angles are congruent to the

similar corresponding angles are similiar

to Triangle EDF