Quadrilateral Midsegements A geometric Exploration

Review Time

What are the Properties of a Quadrilateral?

What are the properties of a Parallelogram?

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

Can we consider this Proof?

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

Can we consider this Proof?

We Need More!

Triangle Midsegment Theorem

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