# What are the theorems of parallelogram?

## What are the theorems of parallelogram?

Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. HSG-SRT.

What are the 7 properties of a 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.

### How do you solve the different theorems of a parallelogram?

THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram. THEOREM: If a quadrilateral has consecutive angles which are supplementary, then it is a parallelogram. THEOREM: If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.

What is parallelogram shape?

: a four-sided shape made up of two pairs of straight parallel lines that are equal in length.

#### What are the different theorems?

Some of the important angle theorems involved in angles are as follows:

• Alternate Exterior Angles Theorem.
• Alternate Interior Angles Theorem.
• Congruent Complements Theorem.
• Congruent Supplements Theorem.
• Right Angles Theorem.
• Same-Side Interior Angles Theorem.
• Vertical Angles Theorem.

What are the 4 types of parallelograms?

Rectangles, rhombus, and squares are parallelograms. A trapezoid has at least one pair of parallel sides. The parallel sides are called the bases and the non-parallel sides are called the legs. There are three types of trapezoid – isosceles, right-angled, and scalene trapezoids.