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What are the five properties of a parallelogram? 1) 2) 3) 4) 5) Edit View Insert Format Tools Table 12pt $\vee$ Paragraph $\vee$
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Step 1:
I'll solve this problem by listing the five key properties of a parallelogram:

Step 2:
: Opposite Sides are Parallel

- Mathematically, this means $$\overline{AB} \parallel \overline{CD}$$ and $$\overline{AD} \parallel \overline{BC}
- In a parallelogram, the opposite sides are always parallel to each other

Step 3:
: Opposite Sides are Equal in Length

- Symbolically: $$|\overline{AB}| = |\overline{CD}$$ and $$|\overline{AD}| = |\overline{BC}
- The opposite sides of a parallelogram have equal lengths

Step 4:
: Opposite Angles are Congruent

- Mathematically: $$\angle A = \angle C$$ and $$\angle B = \angle D
- The opposite angles in a parallelogram have equal measure

Step 5:
: Consecutive Angles are Supplementary

- This means: $$\angle A + \angle B = 180°$$ and $$\angle B + \angle C = 180°
- Adjacent angles in a parallelogram sum to 180 degrees

Step 6:
: Diagonals Bisect Each Other

- If diagonal $$\overline{AC}$$ intersects diagonal $$\overline{BD}$$, they divide each other exactly in half
- The diagonals of a parallelogram intersect at their midpoint

Final Answer

These are the five fundamental properties that define a parallelogram: parallel opposite sides, equal opposite sides, congruent opposite angles, supplementary consecutive angles, and diagonals that bisect each other.