# What is a parallelogram with all sides and angles congruent?

## What is a parallelogram with all sides and angles congruent?

One special kind of polygons is called a parallelogram. It is a quadrilateral where both pairs of opposite sides are parallel. If we have a parallelogram where all sides are congruent then we have what is called a rhombus.

## What is a parallelogram with all right angles?

A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle. And, since a square is a degenerate case of a rectangle, both squares and rectangles are special types of parallelograms.

What is a parallelogram with four congruent right angles?

Answer: Square is a parallelogram with four congruent sides and four right angles.

What is a parallelogram with 2 congruent sides?

DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. * THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.

### Are all sides of a parallelogram congruent?

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel . Opposite sides are congruent; Adjacent angles are supplementary; The diagonals bisect each other.

### Do all parallelograms have 4 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.

Do all parallelograms have 4 right sides?

In word problems, be careful not to assume that a quadrilateral has parallel sides or equal sides unless that is stated. A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. No, because a rhombus does not have to have 4 right angles.

What is a parallelogram with 4 congruent sides?

A rhombus is a parallelogram with four congruent sides.

## Is a parallelogram with all four sides congruent?

A rhombus is a parallelogram with all four sides congruent to each other. diamond-like shape. A square is a parallelogram with four congruent sides and four right angles. In other words, a square is a rectangle and a rhombus.

## Are all sides congruent in a parallelogram?

All of the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary). All sides are congruent by definition. The diagonals bisect the angles. The diagonals are perpendicular bisectors of each other.

Are all parallelograms angles congruent?

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

What is congruent in 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.

### Do parallelogram always have four sides?

NOTE: In order to be a parallelogram, a polygon must have 4 sides with opposite sides parallel. Quadrilaterals always have 4 sides, but do not always have opposite sides parallel. For example, a Trapezoid which is a Quadilateral has only one pair of parallel sides, therefore can never be a parallelogram. Log in for more information.

### 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.

How many pairs of congruent sides does each parallelogram have?

You have learned that a parallelogram is a closed, plane figure with four sides. It is a quadrilateral with two pairs of parallel, congruent sides. Its four interior angles add to 360° 360 ° and any two adjacent angles are supplementary, meaning they add to 180° 180 °. Opposite (non-adjacent) angles are congruent.

What are some important facts about a parallelogram?

Facts about Parallelograms What is a parallelogram? A parallelogram is defined as a four sided figure (quadrilateral) whose opposite sides are parallel to each other. Origin of the word. The word parallelogram originated in the 16th century from the Latin words ‘Parallelos’ meaning “parallel” and ‘gramme’ meaning “line”. History of Parallelograms. Properties of a parallelogram.