Question: 5.3.4 Exercises Use the figure to write a proof for each. 1. Given: parallelogram ACDE; CD - BD Prove: LCBD = LE 2. Given: parallelogram

5.3.4

Exercises Use the figure to write a proof for each. 1. Given: parallelogram ACDE; CD - BD Prove: LCBD = LE 2. Given: parallelogram ACDE; LCBD = LE Prove: ABDC is isosceles. Example Given: quadrilateral ABCD AB = CD AB | CD Prove: ABCD is a parallelogram. Statements Reasons 1. quadrilateral ABCD, AB & CD, 1. Given AB | CD 2. L BAC = LDCA 2. Parallel lines form congruent alternate interior angles. 3. AC = CA 3. Reflexive Property 4. AABC = ACDA 4. SAS 5. LDAC = LBCA 5. CPCTC 6. AD | CB 6. If alternate interior angles are congruent, then lines are parallel. 7. ABCD is a parallelogram. 7. Definition of parallelogram

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