Perpendicular Bisector of a Triangle Activity
1. Check AZ, ZC and f.
2. What do you notice about the values of AZ and ZC?
3. Drag point A, B or C around and watch the values of AZ and ZC. What did you notice about them?
4. What is a geometric name for line f?
5. What is a geometric name for point Z?
6. Uncheck AZ, ZC and f and check BY, CY and h.
7. What do you notice about the values of BY and CY?
8. Drag point A, B or C around and watch the values of BY and CY. What did you notice about them?
9. What is a geometric name for line h?
10. What is a geometric name for point Y?
11. Uncheck BY, CY and h and check AX, BX and g.
12. What do you notice about the values of AX and BX?
13. Drag point A, B or C around and watch the values of AX and BX. What did you notice about them?
14. What is a geometric name for line g?
15. What is a geometric name for point X?
16. Uncheck all boxes and check f and PZC.
17. What is the measurement of angle PZC?
18. Drag point A, B or C around and watch the value of angle PZC (be sure to keep point P in the interior of the triangle). What did you notice about it?
19. What do you know about angle PZA?
20. Uncheck f and PZC and check h and PYB.
21. What is the measurement of angle PYB?
22. Drag point A, B or C around and watch the value of angle PYB(be sure to keep point P in the interior of the triangle). What did you notice about it?
23. What do you know about angle PYC?
24. Uncheck h and PYB and check g and PXA.
25. What is the measurement of angle PXA?
26. Drag point A, B or C around and watch the value of angle PXA (be sure to keep point P in the interior of the triangle). What did you notice about it?
27. What do you know about angle PXB?
28. What name can you give lines g, f and h based on the types of angles formed?
3. Check AZ, ZC and f.
4.
What do you notice about the values of AZ and
ZC?
5.
Drag point A, B or C around and watch the values
of AZ and ZC. What did you notice about
them?
6.
What is a geometry name for line f?
7.
What is a geometry name for point Z?
8.
Uncheck AZ, ZC and f.
9.
Check BY, CY and h.
10.
What do you notice about the values of BY and
CY?
11.
Drag point A, B or C around and watch the values
of BY and CY. What did you notice about
them?
12.
What is a geometry name for line h?
13.
What is a geometry name for point Y?
14.
Uncheck BY, CY and h.
15.
Check AX, BX and g.
16.
What do you notice about the values of AX and
BX?
17.
Drag point A, B or C around and watch the values
of AX and BX. What did you notice about
them?
18.
What is a geometry name for line g?
19.
What is a geometry name for point X?
20.
Uncheck all boxes and check f and PZC.
21.
What is the measurement of angle PZC?
22.
Drag point A, B or C around and watch the value
of angle PZC. What did you notice about
it?
23.
What do you know about angle PZA?
24.
Uncheck f and PZC.
25.
Check h and PYB.
26.
What is the measurement of angle PYB?
27.
Drag point A, B or C around and watch the value
of angle PYB. What did you notice about
it?
28.
What do you know about angle PYC?
29.
Uncheck h and PYB.
30.
Check g and PXA.
31.
What is the measurement of angle PXA?
32.
Drag point A, B or C around and watch the value
of angle PXA. What did you notice about
it?
33.
What do you know about angle PXB?
34.
What name can you give lines g, f and h based on the types of angles formed?