# What if all sides of parallelogram are equal?

## What if all sides of parallelogram are equal?

If all four sides of a parallelogram are equal, then it is a, only if the diagonals are also equal.

Do parallelograms equal 360?

Explanation: Parallelograms have angles totalling 360 degrees, but also have matching pairs of angles at the ends of diagonals.

Do parallelograms add up to 180?

The important properties of angles of a parallelogram are: Opposite angles of a parallelogram are equal (or congruent) Consecutive angles are supplementary angles to each other (that means they add up to 180 degrees)

### What do the 4 angles of a parallelogram equal?

Find An Angle In A Parallelogram : Example Question #4 Explanation: This question is very simple to answer if you remember that ALL paralellograms have two pairs of equal and opposite angles, and that the four angles in any quadrilateral MUST add up to 360 degrees.

What are the rules for 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.

Do all parallelograms have 90 degree angles?

Solution: A Parallelogram can be defined as a quadrilateral whose two s sides are parallel to each other and all the four angles at the vertices are not 90 degrees or right angles, then the quadrilateral is called a parallelogram.

#### Does a parallelogram 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 rhombus is defined as a parallelogram with four equal sides.

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 do parallelograms always add up to?

180 degrees
Parallelogram: A quadrilateral with two pairs of parallel lines. To start off with basic rules, opposite sides of a parallelogram are always equal length and parallel. Inside a parallelogram, opposite angles are always congruent. Angles that lie next to each other are always supplementary (add up to 180 degrees).

## Are all angles of parallelogram equal?

A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. And, the adjacent interior angles must be supplementary angles (sum of degrees). Since, angles and are opposite interior angles, thus they must be equivalent.

Do parallelograms have right angles?

Right Angles in Parallelograms In a parallelogram, if one of the angles is a right angle, all four angles must be right angles. If a four-sided figure has one right angle and at least one angle of a different measure, it is not a parallelogram; it is a trapezoid.

What are the 3 rules for parallelograms?

Properties of parallelograms

• Opposite sides are congruent (AB = DC).
• Opposite angels are congruent (D = B).
• 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.

### How do you calculate the angles of a parallelogram?

A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

What is the sum of the angles of a parallelogram?

The sum of the measures of the angles of a parallelogram is 360 degrees. In the parallelogram on the right, angles A and D have the same measure as well as angles C and B. If the measure of angle C is nine times the measure of angle A, find the measure of each angle.

How many right angles does a parallelogram have?

It has four right angles (90°). The opposite sides are parallel. The diagonals bisect each other. Parallelogram. A parallelogram has two pairs of equal sides. It has two pairs of equal angles.

#### What are three attributes of a parallelogram?

The properties of the parallelogram are simply those things that are true about it. These properties concern its sides, angles, and diagonals. The parallelogram has the following properties: Opposite sides are parallel by definition. Opposite sides are congruent. Opposite angles are congruent. Consecutive angles are supplementary.