# Polygons

## How we knew how to solve this..

We know how to solve this because of the way the slides taught us and broke it down for us.

## Properties of a parallelogram (4th block)

There are six important properties of parallelograms to know:

1. Opposite sides are congruent (AB = DC).

2. Opposite angels are congruent (D = B).

3. Consecutive angles are supplementary (A + D = 180°).

4. If one angle is right, then all angles are right.

5. The diagonals of a parallelogram bisect each other.

6. Each diagonal of a parallelogram separates it into two congruent triangles.

## Trapezoid and Isosceles Trapezoid (5th Block)

A trapezoid is a quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases).

A trapezoid isosceles is a trapezoid with legs that are congruent

Trapezoid properties:

• the bases are parallel by definition
• each lower base angle is supplementary to the upper base angle on the same side.

Isosceles Trapezoid Properties:

• The legs are congruent by definition.
• The lower base angles are congruent.
• The upper base angles are congruent.
• Any lower base angle is supplementary to any upper base angle.
• The diagonals are congruent.

## How we solved it

I followed in my notes step by step to solve this problem

## Kite (block 7)

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.

## Video Example - (9th block)

Area of a parallelogram | Perimeter, area, and volume | Geometry | Khan Academy