Name:_____________________________________ Activities on the circle
The goal of this activity is to learn how to construct a tangent and how to measure arcs
Constructing a tangent:
1.
a.
b.
Construct an arbitrary circle
Through the Center and an arbitrary point on the circle, construct line segment
AB
c.
Select B and AB and construct perpendicular line passing through B
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d.
the newly constructed line is the tangent line.
SAVE on file called Tangents
2. Measuring arcs
a.
Construct an arbitrary circle
b.
Construct 3 arbitrary points on the circle and label them A,B and C
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c.
Select the three points and then construct the arc through 3 points.
d.
Measure the arc
Save in GSP file called ARCS
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3. Properties of tangents
1. Construct an arbitrary circle:
2. Construct an arbitrary segment AB
3. Construct a tangent to the circle passing through B
4. Construct another point on the circle
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5. Construct segment AC and a tangent through C
6. Construct the intersection between the two thus constructed tangents. Label it D
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7. Measure DC and BD.
8. Drag B and observe what happens.
Write your conclusion and save your conclusion in a GSP file with the name of the
students in the group and email to Erika
4. Inscribed angles
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Remember that an inscribed angle is an angle that has a vertex on the circle.
Construct an inscribed angle by placing 3 points ( A, B and C) on the circle and
constructing segments AB and BC as below:
Save in a GSP file called Inscribed angles
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