Q. REASONING Describe how to prove that ABCD is a parallelogram.15.16.17.
Check Parallel Opposite Sides: Check if opposite sides are parallel. If AB is parallel to CD and BC is parallel to AD, then ABCD is a parallelogram.
Check Equal Opposite Sides: Check if opposite sides are equal. If AB equals CD and BC equals AD, then ABCD is a parallelogram.
Check Equal Opposite Angles: Check if opposite angles are equal. If angle A equals angle C and angle B equals angle D, then ABCD is a parallelogram.
Check Supplementary Consecutive Angles: Check if consecutive angles are supplementary. If angle A plus angle B equals 180 degrees and angle C plus angle D equals 180 degrees, then ABCD is a parallelogram.
Check Diagonals Bisect: Check if diagonals bisect each other. If diagonal AC cuts diagonal BD into equal parts, then ABCD is a parallelogram.