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GeoGebra

Exploring Circle Theorems

Author: Juhi Mathur, Tim Brzezinski, Brenden, williamgeorgeemeny, dsyddall
Topic:Circle

Equal chords are equidistant from the center.

True or False

Equal Chords are equidistant from any point on the circle.

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

True / False

Mark/ Write the statement which is not True

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  • A
  • B
  • C
  • D
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Extended Response

Prove that Equal chords subtend equal angles at the center of the circle. Click a picture of your hand written proof and paste (jpg/pdf) on the worksheet on MS Teams Assignment Link /Page!

Perpendicular from the center of the circle bisects the chord. Explore the applet by dragging the points.

True or False

Only chords pertaining to Minor Arcs are bisected by the perpendicular from the center of the circle.

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  • A
  • B
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Choose the correct Option

If a line drawn from the center of the circle meets the midpoint of the chord. then

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  • A
  • B
  • C
  • D
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Angles in the same segment are equal in magnitude

MCQ

Which of the following are true about a circle?

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  • A
  • B
  • C
  • D
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Choose the correct option

Angle subtended by a chord in a semi circle is 90

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  • A
  • B
  • C
  • D
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Write down the detailed proof for the subject theorem- Angles in the same segment are equal in measurement. (Paste (jpg/pdf) your response on the One Note link/page

Equal Chords subtend equal angles at the center

Choose the statements that are correct

If two arcs of a circle are equal then:

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  • A
  • B
  • C
  • D
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Angle subtended by the chord at the center is double the angle subtended at the circle.

Reflection

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