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REASONING Describe how to prove that 
ABCD is a parallelogram.
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REASONING Describe how to prove that ABCD A B C D is a parallelogram.\newline1515.\newline1616.\newline1717.

Full solution

Q. REASONING Describe how to prove that ABCD A B C D is a parallelogram.\newline1515.\newline1616.\newline1717.
  1. Check Parallel Opposite Sides: Check if opposite sides are parallel. If ABAB is parallel to CDCD and BCBC is parallel to ADAD, then ABCDABCD is a parallelogram.
  2. Check Equal Opposite Sides: Check if opposite sides are equal. If ABAB equals CDCD and BCBC equals ADAD, then ABCDABCD is a parallelogram.
  3. Check Equal Opposite Angles: Check if opposite angles are equal. If angle AA equals angle CC and angle BB equals angle DD, then ABCDABCD is a parallelogram.
  4. Check Supplementary Consecutive Angles: Check if consecutive angles are supplementary. If angle AA plus angle BB equals 180180 degrees and angle CC plus angle DD equals 180180 degrees, then ABCDABCD is a parallelogram.
  5. Check Diagonals Bisect: Check if diagonals bisect each other. If diagonal ACAC cuts diagonal BDBD into equal parts, then ABCDABCD is a parallelogram.

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