OpenStudy (mgc1016):
What are the missing statement and reason in step 2 of the proof? Statement: BAC ACD Reason: Alternate Interior Angles Theorem Statement: || , || Reason: definition of a parallelogram Statement: , Reason: given Statement: ABC BCD, BAD ADC Reason: For parallel lines cut by a transversal, corresponding angles are congruent. Statement: ABC CDA Reason: SSS criterion for congruence
OpenStudy (mgc1016):
1. Quadrilateral ABCD is a parallelogram. given 2. 3. Draw . is a transversal that cuts two pairs of parallel lines: and and and . drawing a line segment 4. CAB ACD BCA CAD Alternate Interior Angles Theorem 5. mCAB = mACD mBCA = mCAD Congruent angles have equal measures. 6. AC = AC Reflexive Property of Equality 7. ASA criterion for congruence 8. Corresponding sides of congruent triangles are congruent.
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