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.