# Activity6

```Names:________________________________________ Activity 6
Part A
Construct a line using the SHIFT key (makes it straight)
1. Open new GSP file
2. Construct a line using the SHIFT key (makes it straight)
3. Construct an arbitrary point outside of the line
1|Page
4. Label points
5. Construct an arbitrary point on line segment BC and label it D.
2|Page
6.
7. Construct the midpoint of AD. Label it E.
3|Page
8. Through E and A construct two parallel lines to BC.
9. Construct another line transversal to the 3 // lines and their respective intersections. Label
intersections F,G and H respectively.
4|Page
10. Measure FG and GH. What do you notice?
11. Drag the transversal to different positions. What happens? Explain.
12. In one paragraph
Part B
1. Open new GSP file
2. Construct a generic triangle
13. Construct midpoint of AB, label it D. Through D construct DE, which is // to BC.
What can you say about AE and EC?
14. Construct point F, the midpoint of BC.
15. Construct the segments joining the midpoints.
5|Page
16. Can you show that DE= .5 *BC? Why?
17. Can you show that EF= .5*AB? Why?
6|Page
```