Use the [b]midpoint[/b] tool to construct the midpoints of AB and AC.[br]Use the [b]segment[/b] tool to construct the midsegment connecting them.[br]Measure the [b]length[/b] and [b]slope[/b] of the midsegment. [i]Click the middle of a segment to measure its slope, not the endpoints[/i][br]Measure the [b]length[/b] and [b]slope[/b] of BC.
How are the [b]lengths[/b] of the midsegment and BC related?[br]Drag a vertex of the triangle to test your hypothesis.
How are the [b]slopes[/b] of the midsegment and BC related?[br]What does that mean about the segments? Drag a vertex of the triangle to test your hypothesis.
Use the [b]midpoint[/b] tool to construct the midpoint of BC. [br]Use the [b]segment[/b] tool to construct the other 2 midsegments of the triangle. [br]Measure the [b]lengths[/b] & [b]slopes[/b] of the new midsegments.[br]Measure the [b]lengths[/b] & [b]slopes[/b] of AB and AC.
Do your new results demonstrate the same relationships as your first measurements? [br]Drag a vertex to test your hypothesis.
A midsegment of a triangle is ____________________________ to the third side and _____________________ the length of the third side.
Use the [b]midpoint[/b] tool to construct the midpoints of AC and DB.[br]Use the [b]segment[/b] tool to construct the midsegment.[br]Measure the [b]length[/b] and [b]slope[/b] of the midsegment.[br]Measure the [b]lengths[/b] and [b]slopes[/b] of the bases.
How are the [b]slopes [/b]of the bases related to the slope of the midsegment?[br]What does that mean about the segments?
What calculations can you do with the [b]lengths[/b] of the bases to get the [b]length[/b] of the midsegment?
The midsegment of a trapezoid is ________________ to the bases and equal in length to the ________________ of the bases.