Nspire iPad App--Tutorial--The Perpendicular Bisectors of a Triangle

Post on 03-Dec-2014

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TI-Nspire App Tutorial

The Perpendicular Bisectors of a Triangle

Summary

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

sides.

Create a Geometry Window

Click on the + tool to activate this menu.

Create a Geometry Window

This is a blank Geometry Window.

Construct a Triangle

Click on Menu and select Points & Lines > Segment.

Construct a Triangle

Press once to define the left endpoint. Then press again to define the right endpoint. Make sure it’s horizontal.

Construct a Triangle

Activate the Segment tool again.

Construct a Triangle

Construct the second side.

Construct a Triangle

Activate the Segment tool again.

Construct a Triangle

Construct the third side.

Find the Midpoint of Each Side

Press Menu and click Tools > Measurement > Midpoint.

Find the Midpoint of Each Side

Press on a side to create the midpoint.

Find the Midpoint of Each Side

Activate the Midpoint tool again.

Find the Midpoint of Each Side

Press on the second side to create the midpoint.

Find the Midpoint of Each Side

Activate the Midpoint tool again.

Find the Midpoint of Each Side

Press on the third side to create the midpoint.

Construct a Perpendicular Line

Click on Menu and press Perpendicular.

Construct a Perpendicular Line

Press on the Midpoint of one of the sides. You can also extend the perpendicular line by clicking and dragging it.

Construct a Perpendicular Line

Select the Perpendicular tool again.

Construct a Perpendicular Line

Press on the Midpoint of the second side.

Construct a Perpendicular Line

Select the Perpendicular tool again.

Construct a Perpendicular Line

Press on the Midpoint of the third side. Notice that all three bisectors meet at one point.

Construct the Intersection Point

Press on Menu and select Tools > Points & Lines > Point.

Construct the Intersection Point

Press on two of the Perpendicular Bisectors to create the intersection point.

Manipulate the Triangle

Manipulate the vertices to change the triangle. You’ll see the bisectors intersect at one point.