Circles project

Updated: 6/7/2020

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- Today class, five student will be presenting their theorem of choice.
- Please be sure to take notes an all the presentations
- The theorem I chose to present is the central angle theorem
- The central angle theorem states that an angle in a circle which has its vertex at the circles center and touches the edge of the circle is equal to the angle of the opposite arc.
- Angle = Arc
- 90°
- 90°
- The theory I decided to present is the inscribed angle theorem
- The angle measurement of the arc opposite the vertex is double the angle measurement of the vertex.
- When the vertex of an angle is on the circumference of a circle and the two legs are also on the circumference, this is when you apply the inscribed angle theorem.
- Angle = 1/2Arc
- Y
- 27°
- 54°
- The theorem I chose to present is the tangent chord theorem.
- This theorem is when a tangent and chord meet at a point on the circles circumference. The angle at which these points meet is half of the angle measurement of the opposite arc.
- 86°
- 43°
- I will be explaining the tangent-tangent theorem.
- This theorem proves that two tangents drawn from the same point to a circle’s circumference are equal in length
- 6”
- 6”
- To finish the presentations, I will be talking about the tangent-secant theorem.
- The formula is the secant squared is equal to the whole tangent multiplied by the part of the tangent not inside the circle.
- The tangent-secant theorem proves that you can find the length of the tangent or secant using this formula
- Z*Z=X(X+Y)
- X
- Z