# In which the opposite angles are not congruent?

Table of Contents

- 1 In which the opposite angles are not congruent?
- 2 What shape has opposite sides that are congruent and parallel?
- 3 Which Quadrilaterals always have opposite angles that are congruent?
- 4 What shape has 3 pairs of opposite sides parallel?
- 5 How do you prove that opposite angles of a parallelogram are congruent?
- 6 Are the opposite sides of a square parallel to each other?

## In which the opposite angles are not congruent?

A scalene quadrilateral is a four-sided polygon that has no congruent sides.

## What shape has opposite sides that are congruent and parallel?

parallelogram

A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Congruent means exactly the same. In this case, a parallelogram has opposite sides that are parallel and congruent meaning that they have the same length. Here is a parallelogram.

**What shapes have opposite sides that are congruent?**

A quadrilateral that has opposite sides that are congruent and parallel can be a parallelogram, rhombus, rectangle or square.

### Which Quadrilaterals always have opposite angles that are congruent?

If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other. If a quadrilateral is a parallelogram, then consecutive angles are supplementary.

### What shape has 3 pairs of opposite sides parallel?

A square is also a parallelogram because its opposite sides are parallel. So, a square can be classified in any of these three ways, with “parallelogram” being the least specific description and “square,” the most descriptive. Another quadrilateral that you might see is called a rhombus.

**Are opposite sides of a rectangle parallel and congruent?**

Opposite sides of a rectangle are parallel and congruent. All the angles are a right angle. The diagonals are congruent and also bisect each other. Opposite angles which are formed at the point where the diagonals meet are congruent.

## How do you prove that opposite angles of a parallelogram are congruent?

The triangles ΔABD and ΔCDB are congruent based on the angle-side-angle postulate, and we can show that the opposite angles of the parallelogram are congruent as corresponding angles (using the angle addition theorem for one of the pairs). Here’s how you prove that in parallelograms, opposite angles are congruent:

## Are the opposite sides of a square parallel to each other?

Opposite sides are parallel to each other. The diagonals are congruent. The diagonals are perpendicular to and bisect each other. A square is a special type of parallelogram whose angles and sides are equal.

**Are the opposite angles of ABCD congruent?**

One of the properties of parallelograms is that the opposite angles are congruent, as we will now show. Since this a property of any parallelogram, it is also true of any special parallelogram like a rectangle, a square, or a rhombus, ABCD is a parallelogram, AD||BC and AB||DC. Prove that ∠BAD ≅ ∠DCB and that ∠ADC ≅ ∠CBA