This tutorial demonstrates how to construct the perpendicular bisectors of the sides of an inscribed triangle on a TI-Nspire app. The steps include creating a geometry window, drawing a circle, constructing an inscribed triangle within the circle using three line segments, and using the perpendicular bisector tool to draw the perpendicular bisectors of each side of the triangle, which all intersect at the center of the circle.

1. TI-Nspire App Tutorial
The Perpendicular Bisectors of an
Inscribed Triangle

2. Summary
• In this tutorial, you’ll be constructing the
perpendicular bisectors of the sides of an
inscribed triangle. The steps in the tutorial
include:
– Creating a Geometry Window.
– Constructing a circle.
– Constructing an inscribed triangle.
– Finding the perpendicular bisectors of the three
sides.

3. Create a Geometry Window
Click on the + tool to activate this menu.

4. Create a Geometry Window
This is a blank Geometry Window.

5. Construct a Circle
Click on Menu and select Shapes > Circle.

6. Construct a Circle
Press once to define the center. Then press again to define the
radius of the circle. Your screen should look like this.

7. Construct an Inscribed Triangle
Click on Menu and select Tools > Points & Lines > Segment.

8. Construct an Inscribed Triangle
Press once on the circle. Press again on another part of the
circle to define the first side of the circle.

9. Construct an Inscribed Triangle
Activate the Segment tool again.

10. Construct an Inscribed Triangle
Construct the second side.

11. Construct an Inscribed Triangle
Activate the Segment tool again.

12. Construct an Inscribed Triangle
Construct the third side. You now have an inscribed triangle.

13. Construct the Perpendicular Bisectors
Press Menu and click Tools > Construction > Perpendicular
Bisector.

14. Construct the Perpendicular Bisectors
Press on one of the sides.

15. Construct the Perpendicular Bisectors
Activate the Perpendicular Bisector tool again.

16. Construct the Perpendicular Bisectors
Press on the second side to create the perpendicular bisector.

17. Construct the Perpendicular Bisectors
Activate the Perpendicular Bisector tool again.

18. Construct the Perpendicular Bisectors
Press on the third side to create the perpendicular bisector.
Notice that all bisectors intersect at the center.

19. Construct the Perpendicular Bisectors
Extend the lengths of the Perpendicular Bisectors.

20. Manipulate the Triangle
Manipulate the shape of the inscribed triangle. Notice the
bisectors still intersect at the center.