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Geogebra and Chapter 1/2 Exploration

Exploration 1

1. Create 2 Points (A and B) Note: Geogebra should label the points automatically. You can also rename the points by double clicking on the point. 2. Create a line through points A and B

How many lines can you create that go through both points A and B?

How many points are needed to create a line?

Exploration 1 ctd.

3. Using a Line Tool, create Line CD with Point D lying on Line AB

What is the intersection of these two lines?

Exploration 1 ctd.

4. Create a line parallel to Line AB

What does parallel mean?

Exploration 1 ctd.

5. Create a line perpendicular to Line CD at Point C 6. Measure an angle at Point C

What does perpendicular mean?

Exploration 1

Exploration 2

1. Create Segment AB 2. Create a Midpoint of Segment AB 3. Find the Length of Segment AC and Segment BC

What is a midpoint?

Exploration 2 ctd.

4. Create the Perpendicular Bisector of Segment BC

What is a segment bisector?

Exploration 2

Exploration 3

1. Create three points (A, B, and C) 2. Create a Plane through Points A, B, and C

How many points are needed to create a plane?

How many planes can be created through three (non-collinear) points?

Exploration 3 ctd.

3. Create Point D on the Plane 4. Use the Detach Point Tool to move Point D above or below the plane 5. Create a Plane through Points A, B, and D 6. Intersect the two planes

What is the intersection of the two planes?

Exploration 3