# What is the side of a parallelogram

## How do you find the sides of a parallelogram?

## What is any side of a parallelogram called?

The parallel sides are called

**bases**while the nonparallel sides are called legs. If the legs are congruent we have what is called an isosceles trapezoid.## Do parallelograms have sides?

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.## What do the sides of a parallelogram equal?

Properties of Parallelogram Related to Sides and Angles

Opposites sides of a **parallelogram are equal and parallel to each other**. All the angles of a parallelogram add up to 360^{o}. ∠A + ∠B + ∠C + ∠D = 360^{o}.

## 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.## 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.## How do you find the opposite side of a parallelogram?

## Do all sides of a parallelogram have the same length?

A parallelogram has six sides. Opposite sides of a parallelogram are parallel. A parallelogram can have one pair or two pairs of parallel sides.

**All sides of a parallelogram have the same length**.## What is a parallelogram with four congruent sides?

**A rhombus**is a parallelogram with four congruent sides.

## How do you find the longest side of a parallelogram?

## How do you find the sides of a parallelogram given the perimeter?

## How do you find the sides of a parallelogram when given the diagonals?

Correct answer:

Explanation: In a parallelogram, the diagonals bisect one another, so you can set the labeled segments equal to each other and then solve for . **\displaystyle x + 14 = 5x – 10 \rightarrow 24 = 4x \rightarrow 6 = x**. If , then you substitute 6 into each labeled segment, to get a total of 40.

## How do you find the fourth side of a parallelogram?

We know that the opposite sides of a parallelogram are equal to each other. So, AB = CD and BC = AD. x=9 and y=4. Hence, the fourth vertex is

**(9,4)**.## How do you find the angles of a parallelogram with sides?

This can also be calculated by the formula,

**S = (n − 2) × 180°**, where ‘n’ represents the number of sides in the polygon. Here, ‘n’ = 4. Therefore, the sum of the interior angles of a parallelogram = S = (4 − 2) × 180° = (4 − 2) × 180° = 2 × 180° = 360°.## Is opposite sides of parallelogram are equal?

The opposite sides of a parallelogram are

**equal**. The diagonals of a parallelogram bisect each other.## How do you find the fourth Vertice of a parallelogram?

## How are the lengths of the four sides of the parallelogram related?

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.## How do you find the length of the base of a parallelogram?

## How do you find the missing vertices of a parallelogram?

Step 1: Find the slope of the two sides connecting the pairs of given vertices of the parallelogram. Step 2: Since the opposite sides of the parallelogram are parallel to each other, their slopes are the same. Equate the slopes of the opposite lines, keeping

**(x,y)**as the coordinates of the missing vertex.## How do you find the vertices of a parallelogram?

4

Parallelogram/Number of vertices

Let the points (4, 5) (7, 6) (4, 3) (1, 2) represent the points A, B, C and D. Opposite sides of the quadrilateral formed by the given four points are equal. Also the diagonals are unequal. Therefore, the given points form a parallelogram.

## Does a parallelogram have four vertices?

In coordinate geometry, a parallelogram is similar to an ordinary parallelogram (See parallelogram definition ) with the addition that its position on the coordinate plane is known.

**Each of the four vertices (corners) have known coordinates**.