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GeoGebraGeoGebra Lesson

Activity 2.4

1. Construct the midpoint of each side of quadrilateral QUAD.

Choose the midpoint tool and click on each side.

2. Connect the midpoints of adjacent sides.

Use the segment tool to connect the midpoints. The segments connecting the midpoints are called the midsegments.

What is the shape created by the midsegments?

Parallelogram

Create the midsegments for the parallelogram below. Create the midpoints of each side, then connect the midpoints.

What is the shape created by the midsegments?

Rectangle

Create the midsegments for the rectangle below. Create the midpoints of each side, then connect the midpoints.

Rhombus

Create the midsegments for the rhombus below. Create the midpoints of each side, then connect the midpoints.

Kite

Create the midsegments for the kite below. Create the midpoints of each side, then connect the midpoints.

Concave Quadrilateral

Create the midsegments for the concave quadrilateral below. Create the midpoints of each side, then connect the midpoints.

Trapezoid

Create the midsegments for the trapezoid below. Create the midpoints of each side, then connect the midpoints with segments. Measure the sides and angles. What do you notice?