[b][list=1][color=#9900ff][*]Construct the midpoints of each side of the quadrilateral. [icon]/images/ggb/toolbar/mode_midpoint.png[/icon][br][br][/*][/color][*][color=#9900ff]Connect the midpoints of each pair of consecutive sides.[icon]/images/ggb/toolbar/mode_polygon.png[/icon] [/color] [br][br][/*][/list]Describe the shape created by connecting the midpoints. [/b]

[b][list=1][color=#9900ff][*]Construct the midpoints of each side of the quadrilateral. [icon]/images/ggb/toolbar/mode_midpoint.png[/icon][br][br][/*][*]Connect the midpoints of each pair of consecutive sides.[icon]/images/ggb/toolbar/mode_polygon.png[/icon] [br][br][/*][/color][/list]Describe the shape created by connecting the midpoints.[/b]

[b]Justify your answer to [u]Task 4[/u] ?[br][/b](You may need to use some measurement tools to verify your answer.)

[list][*][color=#9900ff][b]Connect the midpoints [icon]/images/ggb/toolbar/mode_midpoint.png[/icon] of two consecutive sides.[icon]/images/ggb/toolbar/mode_segment.png[/icon] [br][/b][/color]This is a [u]MIDSEGMENT[/u] of the triangle.[color=#9900ff][b][br][br][/b][/color][/*][/list][b] How does the length of the [u]midsegment[/u] compare to the length of the 3rd side?[/b]

[b][list][color=#9900ff][*]Compare the slopes of the midsegment and the 3rd side. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_slope.png[/icon][br][br][/*][/color][/list] What does the slope measurements tell you about these two segments ?[/b]

[list][/list][b]How do your answers to [u]Task 7[/u] and [u]Task 8[/u] agree with the [u]Triangle Midsegment Theorem[/u] ?[/b]

[list][color=#9900ff][/color][*][color=#9900ff][b]Connect the midpoints [/b][/color][color=#ff0000](red points) [/color][color=#9900ff][b]of sides CD and BD using the segment tool [icon]/images/ggb/toolbar/mode_segment.png[/icon][br][br][/b][/color][/*][*][color=#9900ff][b]Connect the midpoints[/b][/color][color=#9900ff] [/color][color=#ff0000](red points) [/color][color=#9900ff][b]of sides AB and AC using the segment tool [icon]https://www.geogebra.org/images/ggb/toolbar/mode_segment.png[/icon][br][/b][b][br][/b][/color][/*][/list][b] What does the slope measurements tell you about these two midsegments ?[/b]

[b] Compare the lengths of the two midsegments:[/b]

[list][*][color=#9900ff][b]Connect the midpoints of the sides of [/b][i]Quadrilateral ABCD[/i][b][i] [/i]using the Polygon Tool. [icon]/images/ggb/toolbar/mode_polygon.png[/icon][/b][b][br][/b][/color] [/*][/list][b]What does Theorem 6-15 claim about the quadrilateral that connects the midpoints of the sides of [/b][i]Quadrilateral ABCD [/i][b]?[/b]