# Which shapes are parallelograms?

Last Update: May 30, 2022

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**Asked by: Eden Runolfsdottir**

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Parallelograms are shapes that have four sides with two pairs of sides that are parallel. The four shapes that meet the requirements of a parallelogram are **square, rectangle, rhombus, and rhomboid**.

## What are the 4 types of parallelograms?

**Types of Parallelograms**

- Rhombus (or diamond, rhomb, or lozenge) -- A parallelogram with four congruent sides.
- Rectangle -- A parallelogram with four congruent interior angles.
- Square -- A parallelogram with four congruent sides and four congruent interior angles.

## Which shape is not a parallelogram?

**A trapezium** is the quadrilateral that is not a parallelogram as its two sides are not parallel.

## Can a parallelogram have exactly 2 right angles?

A parallelogram is a quadrilateral with 2 pair of opposite sides parallel. ... A square is a special rectangle that has all four sides congruent. A kite has two consecutive sides congruent. The angle between these two sides could be a right angle, but there would only be one right angle in the kite.

## Does a rhombus have 4 right angles?

If you have a rhombus with four equal interior angles, you have **a square**. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.

## What is a Parallelogram? | Special Cases of Parallelogram | Don't Memorise

**35 related questions found**

### What is the most special type of parallelogram?

**Rectangle**. **A rectangle** is a special type of parallelogram which has all the properties of parallelogram along with some different properties. Each angle of a rectangle must be a right angle, i.e. of 90°.

### Does a parallelogram have four right angles?

**A rectangle is** a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. A rectangle has all the properties of a parallelogram, plus the following: The diagonals are congruent.

### Which best describes the sides of 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.

### How do you tell if a polygon is a parallelogram?

**You'll know that your quadrilateral is a parallelogram if it has these properties of parallelograms:**

- The opposite sides are parallel.
- The opposite sides are congruent.
- The opposite angles are congruent.
- Consecutive angles are supplementary (add up to 180-degrees).
- The diagonals bisect each other.

### Can a parallelogram have 6 sides?

A parallelogon must have an even number of sides and opposite sides must be equal in length and parallel (hence the name). A less obvious corollary is that **all parallelogons have either four or six sides**; a four-sided parallelogon is called a parallelogram.

### Are all angles in a parallelogram 90 degrees?

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. The opposite sides of parallelogram are also equal in length.

### Does a parallelogram have two 90 degree angles True or false?

True - A parallelogram has both pairs of opposite sides parallel and equal in length. A rectangle is a parallelogram with 4 right angles. Every rhombus is a rectangle. **False** - A rectangle must always have 4 right angles (90 degree angles).

### What is the unique parallelogram?

Parallelograms have several characteristic properties that fall directly out of their definition as a quadrilateral with opposite pairs of parallel sides. ... **opposite sides are congruent**. **opposite angles are congruent**. **adjacent angles are supplementary**.

### What are some real life examples of parallelogram?

**11 Parallelogram Examples in Real Life**

- Properties of Parallelogram.
- Examples of Parallelogram. Tiles. Buildings. Roofs. Paper. Desks. Erasers. Solar Panels. Striped Pole. Steps of a Stair Case. Design on a Cardigan. Structure on the Fret Board of a Guitar.

### What are 3 types of parallelograms?

Hence, a parallelogram is a quadrilateral that is bounded by parallel lines. It is a shape in which the opposite sides are parallel and equal. Parallelograms are classified into three main types: **square, rectangle, and rhombus**, and each of them has its own unique properties.

### Has 4 angles that are 90 degrees?

**A square** is a quadrilateral with 4 right angles (90°). In a square, both pairs of opposite sides are parallel and equal in length.

### What type of angles has a parallelogram?

A Parallelogram is a flat shape with opposite sides parallel and equal in length. Angle A and angle B add up to 180°, so they are **supplementary angles**. NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

### Does a parallelogram bisect at 90 degrees?

The diagonals of a parallelogram **bisect each other at right angles**.

### Do all parallelograms have 4 equal sides Yes or no?

Explanation: A Quadrilateral is only a **4 sided figure & has no specific features**, whereas a Parallelogram is a 4 sided figure with opposite sides parallel and equal, opposite angles equal and adjacent angles in a linear pair. A Quadrilateral is not a Parallelogram. A Parallelogram is a Quadrilateral.

### What is a six sided parallelogram?

In geometry, **a hexagon** (from Greek ἕξ, hex, meaning "six", and γωνία, gonía, meaning "corner, angle") is a six-sided polygon or 6-gon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

### Is Triangle a parallelogram?

**A triangle is a parallelogram**. This is never true. ... Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.

### How do you identify a parallelogram?

**To identify a parallelogram, the shape has to meet one of the following criteria:**

- It has two pairs of parallel opposite sides.
- It has two pairs of equal opposite angles.
- It has two pairs of equal and parallel opposite sides.
- Its diagonals bisect each other.

### What is the parallelogram side Theorem?

Theorem 1: In a parallelogram, **the opposite sides are of equal length**. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.