Varignon Investigation

[list][*]Use [icon]/images/ggb/toolbar/mode_point.png[/icon] create 4 random points (A,B,C,D).[br][/*][*]Use [icon]/images/ggb/toolbar/mode_segment.png[/icon] to connect the points and form a quadrilateral.[/*][*]Use [icon]/images/ggb/toolbar/mode_midpoint.png[/icon] to find the midpoint of each side.[br][/*][*]Use [icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon] to connect the four midpoints. [/*][*]Use [icon]/images/ggb/toolbar/mode_move.png[/icon] to move points A, B, C, or D.[/*][/list][br]1. What do you notice about the shaded quadrilateral?[br][br]2. Use the measurement tools to verify your answer to #1.
What type of quadrilaterals are formed?
Use the applet below to investigate the type of quadrilateral that is formed by the midpoints of various figures.
[list][*]Follow the same steps as above to create the Varignon quadrilateral for each shape below.[/*][*]You can move the green points.[/*][*]What type of Varignon quadrilateral is formed by each shape? [/*][*]Use the [icon]/images/ggb/toolbar/mode_angle.png[/icon], [icon]/images/ggb/toolbar/mode_slope.png[/icon], and [icon]/images/ggb/toolbar/mode_distance.png[/icon] tools to verify your answers. [/*][/list]

Information: Varignon Investigation