1.29 Midsegment of a Triangle (r1)

Follow these steps to construct the midsegment of the triangle below.[br][br][list=1][*]Click on the "Midpoint or Center" tool and then on point A and point B to mark the midpoint of AB.[/*][*]Click on the "Midpoint or Center" tool and then on point A and point C to mark the midpoint of AC.[/*][*]Click on the Segment" tool and then on your two midpoints from steps 1 and 2 to [b]construct the midsegment[/b].[/*][*]Click on the "Distance or Length" tool and then on your two midpoints from steps 1 and 2 to [b]measure the midsegment[/b].[/*][*]Click on the "Distance or Length" tool and then on point B and point C to [b]measure the third side[/b] of the triangle.[/*][/list]
[color=#ff0000]What do you notice about the relationship between the midsegment (DE) and the third side of the triangle (BC)?[br][br]Hint: Divide the length of the third side by the length of the of the midsegment.[br][/color]
[color=#ff0000]Click on the "Move" tool and then click on a move the points A, B, and C. Does this relationship hold true for any triangle?[/color]
Predict: If SV = 20, what is the measure of TU?
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[/img]
Predict: If ST = 34, what is the measure of PR?
[img]data:image/png;base64,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[/img]
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Information: 1.29 Midsegment of a Triangle (r1)