Question

Geometry: complete this proof of theorem 14, ASAP!

(Theorem 14: if a transversal intersects two lines so that corresponding angles are congruent, then the lines are parallel.)

Answer 1

1. Transversal y intersects lines m and n; <1 ~= <2 (Given)

2. <1 ~= <3 (Vertical Angles Theorem)

3. <2 ~= <3 (Transitive Property of Congruence)

4. m || n (Converse of Alternate Interior Angles Theorem)