CIRCLE INVESTIGATIONS
Investigation 1:
Step 1
Step 2
Step 3
Construct a large circle and label the center O.
Make and measure a central angle of the circle.
Measure the arc cut out by the central angle.
Summarize your findings in a conjecture.
Investigation 2:
Step 1
Step 2
Step 3
Step 4
Construct a large circle and mark the center.
Construct two non-parallel congruent chords that are not diameters.
Construct the perpendiculars from the center to each chord.
Measure the distances along the perpendicular from the center to the
chords.
Summarize your findings in a conjecture.
Investigation 3:
Step 1
Step 2
Step 3
Construct a large circle and mark the center.
Construct two non-parallel chords that are not diameters.
Construct the perpendicular bisector of each chord and extend them
until they intersect.
What do you notice about the point of intersection?
Summarize your findings in a conjecture.
Investigation 4:
Step 1
Step 2
Step 3
Step 4
Construct a large circle and label the center O.
Draw a tangent. Label the point of intersection between the line and
the circle T. Construct OT.
Place a point called H on the tangent line.
Measure OTH.
Summarize your findings in a conjecture.
Investigation 5:
Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
Construct a large circle.
Select two points on the circle and label them A and B.
Select a point P on the major arc and construct inscribed APB.
Measure angle APB.
Select another point Q on the major arc APB and construct inscribed
APB.
Measure AQB.
How does the measure of AQB compare with the measure of APB?
Summarize your findings in a conjecture:
Investigation 6:
Step 1
Step 2
Step 3
Construct a large circle.
Draw two parallel chords. Label one AB and the other CD.
Compare the arcs AC and BD.
Summarize your findings as a conjecture