1. Given a line AB and a point C not on AB, show and explain how to construct a line through C that is parallel to AB

2. Given points A, B, C, D such that AB is perpendicular to BC and CD is perpendicular to BC, and AB is congruent to CD and A and D lie on the same side of BC

Prove:

a. the diagonals AC and BD of quadrilateral ABCD are congruent

b. The angles BAD and CDA are congruent