## Quadrilateral MidsegementsA geometric Exploration

### Review Time

#### What is a Supplementary Angle?

Sum of the measures of the angles is a straight angle.

#### What is a Complimentary Angle?

Sum of the measures of the angles is a right angle.

### Parallelogram Midsegment

ERMAHGERD....Pehrallelagrehms!!!

#### Construct the midpoints of each segment of the quadrilaterals, label them O,P, Q, and R, then connect the midesgments to form quadrilateral OPQR.

Midpoint Construction Tips:

1. Make observations about OPQR
2. Develop Conjecture
3. Write a proof
Results?

Geogebra Construction

### Quadrilateral Midsegment

ERMAHGERD....Querdrilatehrals!!!

#### Construct the midpoints of each segment of the quadrilaterals, label them W,X, Y, and Z, then connect the midesgments to form quadrilateral WXYZ.

1. Make observations about OPQR
2. Develop a conjecture
3. Write a proof

Geogebra Construction

We Need More!

### Triangle Midsegment Theorem

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