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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