Johnson Copy of Exploration of Midsegment of a triangle

Question #1

Move around any of the three vertices of the triangle (points A, B, or C). How are CD and DA related?

CD is double the length of DA. CD is half the length of DA. CD is 1/3 the length of DA CD is equal to the length of DA.

Question #2

"Points E and D are the ________________ of segment BC and segment CA, respectively"[br] [br]Fill in the blank.

midpoints. intersections. vertices. corners.

Question #3

Click the "Show Slopes" button on. Then fill in the blanks in this sentence:[br][br]"The slopes of DE and AB are ____________. This means that these segments are ______________."

negative reciprocals .... perpendicular. the same .... perpendicular. the same ...... parallel. negative reciprocals .... parallel.

Question #4

Click the "Show lengths of segments" button on. Divide AB by DE. What is the quotient?

3 5 1 2

Question #5.

Move either point A, B, or C around to create a different triangle. Then click the "Show lengths of segments" button on. Divide AB by DE. What is the quotient?

1 2 5 3

Question #6

Again, move around either the point A, B, or C to create a different triangle. Make sure the "show lengths of segments" button is clicked on. Then divide AB by DE. What is the quotient?

5 2 3 1

Question #7

What can you conclude from this activity about the midsegments of a triangle?