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Copy of Circle Investigations

Investigation 1.

Segment AB is a ___________.

Vink alles aan wat van toepassing is
  • A
  • B
  • C
  • D
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Line CB is a ________________.

Vink alles aan wat van toepassing is
  • A
  • B
  • C
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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.

Vink alles aan wat van toepassing is
  • A
  • B
  • C
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Investigation 2

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

Vink alles aan wat van toepassing is
  • A
  • B
  • C
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Angle CDB is a __________. Choices are: a. b. c.

Vink alles aan wat van toepassing is
  • A
  • B
  • C
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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.)

Vink alles aan wat van toepassing is
  • A
  • B
  • C
Controleer mijn antwoord (3)

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

Vink alles aan wat van toepassing is
  • A
  • B
  • C
Controleer mijn antwoord (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.