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

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TI-Nspire App Tutorial The Perpendicular Bisectors of a Triangle

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

Page 1: Nspire  iPad App--Tutorial--The Perpendicular Bisectors of a Triangle

TI-Nspire App Tutorial

The Perpendicular Bisectors of a Triangle

Page 2: Nspire  iPad 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.

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Create a Geometry Window

Click on the + tool to activate this menu.

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Create a Geometry Window

This is a blank Geometry Window.

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Construct a Triangle

Click on Menu and select Points & Lines > Segment.

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Construct a Triangle

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

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Construct a Triangle

Activate the Segment tool again.

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Construct a Triangle

Construct the second side.

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Construct a Triangle

Activate the Segment tool again.

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Construct a Triangle

Construct the third side.

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Find the Midpoint of Each Side

Press Menu and click Tools > Measurement > Midpoint.

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Find the Midpoint of Each Side

Press on a side to create the midpoint.

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Find the Midpoint of Each Side

Activate the Midpoint tool again.

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Find the Midpoint of Each Side

Press on the second side to create the midpoint.

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Find the Midpoint of Each Side

Activate the Midpoint tool again.

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Find the Midpoint of Each Side

Press on the third side to create the midpoint.

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Construct a Perpendicular Line

Click on Menu and press Perpendicular.

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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.

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Construct a Perpendicular Line

Select the Perpendicular tool again.

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Construct a Perpendicular Line

Press on the Midpoint of the second side.

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Construct a Perpendicular Line

Select the Perpendicular tool again.

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Construct a Perpendicular Line

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

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Construct the Intersection Point

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

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Construct the Intersection Point

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

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Manipulate the Triangle

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