3 Which statement is true about every parallelogram? All four sides are congruent. The interior angles are all congruent. Two pairs of opposite sides are congruent.
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| 1) | The diagonals are congruent. |
|---|---|
| 4) | The opposite sides are parallel. |
Do all parallelograms have 4 equal sides?
A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.
How do you solve a theorem for a parallelogram?
How can you prove that this figure is a parallelogram using diagonals?
Theorem: The diagonals of a parallelogram bisect each other. Proof: Given ABCD, let the diagonals AC and BD intersect at E, we must prove that AE ∼ = CE and BE ∼ = DE. The converse is also true: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
What is the properties of parallelogram?
Do parallelograms add up to 360 degrees?
Explanation: Parallelograms have angles totalling 360 degrees, but also have matching pairs of angles at the ends of diagonals.
Proving Parallelograms With Two Column Proofs – Geometry
How to Prove That a Quadrilateral Is a Parallelogram With Diagonals : Parallelograms & Math
Geometry – 13 – Proving Parallelograms
Parallelogram Proofs
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