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Copy of Circle Investigations

Author:Brian Sharp

Investigation 1.

Segment AB is a ___________.

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Line CB is a ________________.

Select all that apply
  • A
  • B
  • C
Check my answer (3)
Grab point B and move it around.

What do you notice about the angle where the radius meets the tangent line?

The angle formed between a radius and tangent line of a circle is __________ 90 degrees.

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Investigation 2

Angle CAB is a __________. Choices are: a. b. c.

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Angle CDB is a __________. Choices are: a. b. c.

Select all that apply
  • A
  • B
  • C
Check my answer (3)

These two angles both intersect the circle at what points? ___ and ___.

Move point B or C. What is the size of angle CAB when the size of angle CDB is 50 degrees? (There may be some roundoff error in the applet.)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

What is the size of angle CDB when the size of angle CAB is 80 degrees?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

If the size of angle CAB is 60 degrees, what would be the size of angle CDB?

Make a conjecture about the relative sizes of a central angle and an inscribed angle that subtends the same arc on a circle.

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