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

intersections. corners. midpoints. vertices.

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 ______________."

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

Question #4

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

2 5 1 3

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?

5 1 3 2

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?

3 2 1 5

Question #7

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