Midsegments in a Quadrilateral

Sketch a Quadrilateral using the Polygon Tool.

Construct the midpoints of each side of the quadrilateral.
Connect the midpoints of each pair of consecutive sides.

Describe the shape created by connecting the midpoints.

Construct the midpoints of each side of the quadrilateral.
Connect the midpoints of each pair of consecutive sides.

Describe the shape created by connecting the midpoints.

Justify your answer to Task 4 ? (You may need to use some measurement tools to verify your answer.)

Connect the midpoints of two consecutive sides. This is a MIDSEGMENT of the triangle.

How does the length of the midsegment compare to the length of the 3rd side?

Compare the slopes of the midsegment and the 3rd side. 

What does the slope measurements tell you about these two segments ?

How do your answers to Task 7 and Task 8 agree with the Triangle Midsegment Theorem ?

Connect the midpoints (red points) of sides CD and BD using the segment tool
Connect the midpoints (red points) of sides AB and AC using the segment tool

What does the slope measurements tell you about these two midsegments ?

Compare the lengths of the two midsegments:

Connect the midpoints of the sides of Quadrilateral ABCD using the Polygon Tool.

What does Theorem 6-15 claim about the quadrilateral that connects the midpoints of the sides of Quadrilateral ABCD ?

Yippee! Congrats on finishing this Activity.