Section 7.1

6.2 let's see if this actually post this time

6.2 Parallelograms and such
Parallelogram- A quadrilateral with both pairs of opposite sides parallel.

Theorems:
Opposite sides of a Parallelogram are congruent
Opposite angles in a Parallelogram are congruent
Consecutive angles in a Parallelogram are supplementary
If a Parallelogram has one right angle, it has four right angles
The diagonals of a Parallelogram bisect each other
Each diagonal of a Parallelogram separates the Parallelogram into 2 congruent triangles

Section 6.6

A trapezoid is a quadrilateral with one pair of parallel lines and one pair of non parallel lines. The the sides consecutive to each of the parallel sides are called legs. If these legs are congruent that means that the trapezoid is an isosceles. Subsequently the base angles or the angles opposite the shorter parallel side are also congruent. This also works in reverse. The median of a trapezoid is created by connecting the midpoints of both the legs with a line segment. The median is parallel to the opposite bases and its distance equals the average of the two bases.

6.4

In section 6.4 we learned about rectangles.
A rectangle is a parallelogram with four right angles.
For rectangles, we learned a theorem called the Rectangle Diagonal Theorem it states that: if a parallelogram is a rectangle if and only if its diagonals are congruent.
Here is the Dyknow slide we received in class-->

Chapter 6, Lesson 3

Proving Parallelograms

1. If both pairs of opposite sides are parallel
2. If both pairs of opposite sides are congruent
3. Both pairs of opposite angles are congruent
4. Any angle is supplementary to both of its consecutive angles
5. Diagonals bisect each other
6. One pair of opposite sides are congruent and parallel

Joe Ruskey

6.2 Parallelograms

In this section we learned about parallelograms. We learned that parallelograms have opposite sides and angles congruent. These are the opposite sides and opposite angles theorem. Also the consecutive angles theorem states that consecutive angles are supplementary. Also the parallelogram diagonal theorem states that diagonals bisect each other. This is what we learned from 6.2.