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Learning Goal

‹4 of 5 in this skill_area›

Tangent lines and chord properties

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

"Use definitions, properties, and theorems relating to circles and parts of circles such as radii, diameters, tangents, angles, arc lengths, and sector areas to solve problems." "... use the distance formula in problems related to circles."

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"Use definitions, properties, and theorems relating to circles and parts of circles such as radii, diameters, tangents, angles, arc lengths, and sector areas to solve problems."
"... use the distance formula in problems related to circles."

What you'll learn

  1. Identify and apply the tangent-radius perpendicularity property to find unknown lengths and angles
  2. Use the theorem that two tangent segments from the same external point are congruent
  3. Calculate the distance from a circle's center to a chord, or the chord's length, using the perpendicular bisector relationship
  4. Apply the intersecting chords theorem (AE * EB = CE * ED) to find a segment length
  5. Find the slope of the tangent line at a given point of a circle as the negative reciprocal of the radius's slope

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