What are the 5 properties of parallelogram?

What are the 5 properties of parallelogram?

Properties of Parallelograms Explained

• Opposite sides are parallel.
• Opposite sides are congruent.
• Opposite angles are congruent.
• Same-Side interior angles (consecutive angles) are supplementary.
• Each diagonal of a parallelogram separates it into two congruent triangles.
• The diagonals of a parallelogram bisect each other.

What are the 10 properties of a parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.

What are 2 geometrical properties of a parallelogram?

The parallelogram has the following properties: Opposite sides are parallel by definition. Opposite sides are congruent. Opposite angles are congruent.

What are all the properties of a parallelogram?

Convex polygon
Parallelogram/Properties

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.

What makes a parallelogram a parallelogram?

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Do parallelograms have equal diagonals?

Are the Diagonals of a Parallelogram Equal? The diagonals of a parallelogram are NOT equal. The opposite sides and opposite angles of a parallelogram are equal.

Do parallelograms have congruent angles?

Inside a parallelogram, opposite angles are always congruent. Angles that lie next to each other are always supplementary (add up to 180 degrees).

Do parallelograms have 4 right angles?

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 rhombus is defined as a parallelogram with four equal sides.

What are the four properties of a parallelogram?

What are the Four Important Properties of a Parallelogram? 1 The opposite sides are equal. 2 The opposite angles are equal. 3 The diagonals are equal. 4 The opposite angles are equal. More

How are the diagonals of a parallelogram supplementary?

Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other.

Are there any theorems about parallelograms in math?

Theorem 1: In a Parallelogram the Opposite Sides Are Equal. This means, in a parallelogram, the opposite sides are equal. Given: ABCD is a parallelogram. To Prove: The opposite sides are equal, AB=CD, and BC=AD. Proof: In parallelogram ABCB, compare triangles ABC and CDA.

How are the opposite sides of a parallelogram congruent?

1 Opposite sides are congruent (AB = DC). 2 Opposite angels are congruent (D = B). 3 Consecutive angles are supplementary (A + D = 180°). 4 If one angle is right, then all angles are right. 5 The diagonals of a parallelogram bisect each other. 6 Each diagonal of a parallelogram separates it into two congruent triangles.