## Is a quadrilateral always symmetrical?

So the square has four lines of symmetry. One way to show this is to note that for a quadrilateral, a line of symmetry must either match two vertices on one side of the line with two vertices on the other or it must pass through two of the vertices and then the other two vertices pair up when folded over the line.

**What do you remember about the family of quadrilaterals?**

So, in the quadrilateral family, there were three kids: parallelogram, trapezoid, and kite. Notice, that parallelograms, trapezoids, and kites all have four sides. Their interior angles all sum to 360.

**Do Quadrilaterals have rotational symmetry?**

A parallelogram is a quadrilateral with both pairs of opposite sides parallel. A parallelogram has rotational symmetry of 180º (Order 2). Definition: A rectangle is a parallelogram with 4 right angles.

### Do Quadrilaterals always have right angles?

A rectangle is a quadrilateral with 4 right angles (90°). In a rectangle, both the pairs of opposite sides are parallel and equal in length. Properties of rectangles: All angles are right angles.

**What properties do the diagonals of these Quadrilaterals have in common?**

The diagonals are congruent and bisect each other (divide each other equally). Opposite angles formed at the point where diagonals meet are congruent.

**How many types of quadrilaterals and their properties?**

Types of Quadrilaterals

Name of the Quadrilateral: | Properties of the Quadrilateral: |
---|---|

Square | All sides are equal. All angles are equal and measure 90°. |

Rectangle | Opposite sides are parallel. Opposites sides are equal. All angles are equal and measure 90°. |

Rhombus | All sides are equal. Opposite angles are equal. |

## What are the properties of a quadrilateral rectangle?

Summary of Quadrilateral Properties Square Rectangle Rhombus Parallelogram All sides are equal Yes No Yes No Opposite sides are parallel Yes Yes Yes Yes Opposite sides are equal Yes Yes Yes Yes All the angles are of the same measure Yes Yes No No

**What are the different types of convex quadrilaterals?**

Based on the lengths of sides and angles, common convex quadrilaterals are: 1 Trapezoid 2 Parallelogram 3 Square 4 Rectangle 5 Rhombus 6 Kite

**How can I prove that a quadrilateral is a rhombus?**

If either diagonal of a parallelogram bisects two angles of the parallelogram, then it is a rhombus. One can also prove that a quadrilateral is a rhombus without first showing that it is a parallelogram. 3. If the diagonals of a quadrilateral are perpendicular bisectors of each other, then it is a rhombus.

### How are opposite sides of a quadrilateral related?

Let us look into the properties of different quadrilaterals. Opposite sides are parallel and congruent. Opposite angles are congruent. Adjacent angles are supplementary. Diagonals bisect each other and each diagonal divides the parallelogram into two congruent triangles.