The document provides instructions for students to complete an opener assignment. It instructs students to draw two identical acute triangles, each filling half of the provided box. Students are then asked to sketch the perpendicular bisector of each side and the angle bisector of each angle of the triangles. The document asks students to notice anything interesting about their drawings. It then provides a radicals worksheet for students to check over and mark any incorrect problems on.

1. Opener: Please complete this opener on your opener sheet.
Note: When the bell rings, I will walk around to check that you've started working. If you
haven't, you won't get your opener points for the day...
Draw 2 identical acute triangles in your opener box for today. Use half of the box for each
picture (in other words, make them big!). Use a straightedge for your drawings.
1. Draw in the perpendicular bisector for each side of the triangle. Sketch as
accurately as you can.
2. Draw in the angle bisector for each of the angles of the triangle. Sketch as
accurately as you can.
3. Do you notice anything interesting?
1

2. Check your Radicals Worksheet:
‐ Use a different color than you did your HW in.
‐ Mark the problems as wrong, and put the total wrong at the top of the sheet.
‐ You have 2 minutes! GO!
Part 1
1. a) 7,8 b) 5√2 c) 7.071 2. a) 8,9 b) 5√2 c) 8.660
3. a) 9,10 b) 3√11 c) 9.950 4. a) 17,18 b) 10√3 c) 17.321
Part 2
1. √2 2. √2
2
Part 3
1. 36√2 2. 42 + 9√7 3. 3 ‐ 2√2
4. ‐49 + √5 5. 8 + 2√15 6. 5√21
21
7. 5√5 8. 9√7
2

3. Other Homework Questions:
3

4. 5.2 Bisectors of Triangles: Key Terms
Concurrent:
Point of Concurrency:
4

5. 5.3 Medians and Altitudes of Triangles: Key Terms
Medians:
Altitudes:
5

6. 6

7. 7

8. 8

9. 9

10. 10

11. 11

12. 12