# Are consecutive angles of a parallelogram supplementary?

Updated: 2nd October 2019

DEFINITION: A

**parallelogram**is a quadrilateral with both pairs of**opposite**sides parallel. 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**.1.

## What are consecutive angles in a parallelogram?

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.2.

## Are the opposite angles of a rhombus congruent?

The

**rhombus**has the following properties: All 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**.3.

## Do all parallelograms have 4 right angles?

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. No, because a rhombus**does**not**have**to**have 4 right angles**.4.

## Are parallelograms symmetrical?

A general

**parallelogram**has no lines of**symmetry**. Some special ones (rhombus, rectangle, square) have lines of**symmetry**. However, a**parallelogram**does have a crucial**symmetry**- the half-turn around the central point where they two diagonals intersect.5.

## What makes a parallelogram a rhombus?

A

**parallelogram**has opposite sides parallel and equal in length. Also opposite angles are equal (angles "a" are the same, and angles "b" are the same). NOTE: Squares, Rectangles and Rhombuses are all**Parallelograms**!6.

## Is it possible for a kite to be a parallelogram?

In Euclidean geometry, a

**kite**is a**quadrilateral**whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a**parallelogram**also has two pairs of equal-length sides, but they are opposite to each other rather than adjacent.7.

## What are the four properties of a parallelogram?

**The parallelogram has the following properties:**

- Opposite sides are parallel by definition.
- Opposite sides are congruent.
- Opposite angles are congruent.
- Consecutive angles are supplementary.
- The diagonals bisect each other.

8.

## What is the difference between a rhombus and a parallelogram?

**Difference Between Rhombus**and

**Parallelogram**. A

**parallelogram**is a quadrilateral or four-sided figure

**in**which the opposite sides are parallel. And because the opposite lines are parallel, hence the opposite angles are also equal. A

**rhombus**, on the other hand, may be defined as an equilateral

**parallelogram**.

9.

## Is a parallelogram a diamond?

A rectangle is a

**parallelogram**that has four opposite, parallel, congruent sides. The opposite sides are parallel, but the corners do not form right angles. A**diamond**shape is a good example of a**rhombus**.10.

## Are the opposite angles of a parallelogram equal?

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.11.

## How many degrees are there in a parallelogram?

thanks.

**360**. All 4-sided figures (of straight lines) have a total of 360º. The total of interior angles of any polygon is 180*(n-2) where n is the number of sides.12.

## How many axes of symmetry has a parallelogram?

Explanation: Rhombus is a special type of parallelogram and it has

**two lines**of symmetry - its diagonals. Rectangle, which is not a square, has**two lines**of symmetry -**two lines**going through the midpoints of opposite sides.13.

## Is a square a parallelogram yes or no?

Every

**square**has 4 equal length sides, so every**square**is a**rhombus**.**Yes**. A rectangle is a quadrilateral with 4 right angles. A**parallelogram**is a quadrilateral with 2 pairs of parallel sides.14.

## What is the shape of a rhombus?

A

**Rhombus**is a flat shape with 4 equal straight sides. A**rhombus**looks like a diamond. All sides have equal length. Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram). The altitude is the distance at right angles to two sides.15.

## How can you prove that a quadrilateral is a parallelogram?

**To prove a quadrilateral is a parallelogram, you must use one of these five ways.**

- Prove that both pairs of opposite sides are parallel.
- Prove that both pairs of opposite sides are congruent.
- Prove that one pair of opposite sides is both congruent and parallel.
- Prove that the diagonals bisect each other.

16.

## Are the diagonals of a parallelogram perpendicular?

If a

**parallelogram**contains a pair of consecutive sides that are congruent, then it is a rhombus. If either**diagonal of a parallelogram**bisects two angles of the**parallelogram**, then it is a rhombus. If the**diagonals**of a quadrilateral are**perpendicular**bisectors of each other, then the quadrilateral is a rhombus.17.

## What makes a quadrilateral a rhombus?

If all sides of a

**quadrilateral**are congruent, then it's a**rhombus**(reverse of the definition). If the diagonals of a**quadrilateral**bisect all the angles, then it's a**rhombus**(converse of a property). Their four ends must form a diamond shape — a**rhombus**.18.

## How do you draw a parallelogram?

**Method 2**

**Constructing a Parallelogram with a Compass**

- Start with an L shape. Draw two straight lines that share a corner.
- Get a compass.
- Understand the equal sides method.
- Set your compass to the length of the bottom side.
- Copy this length.
- Copy the length of the left side.
- Find the top right corner.
- Draw the top side.

Updated: 2nd October 2019