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Lesson Plans and Worksheets for Geometry

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More Lessons for Geometry

Common Core For Geometry

Worksheets for Geometry, Module 5, Lesson 16

Student Outcomes

- Students find βmissing lengthsβ in circle-secant or circle-secant-tangent diagrams.

**Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams**

Classwork

**Opening Exercise**

Identify the type of angle and the angle/arc relationship, and then find the measure of π₯.

**Exploratory Challenge 1**

Measure the lengths of the chords in centimeters, and record them in the table.

**Exploratory Challenge 2**

Measure the lengths of the chords in centimeters, and record them in the table

**Lesson Summary**

**THEOREMS:**

- When secant lines intersect inside a circle, use π β π = π β π.
- When secant lines intersect outside of a circle, use π(π + π) = π(π +π).
- When a tangent line and a secant line intersect outside of a circle, use π
^{2}= π(π + π)

**Relevant Vocabulary**

SECANT TO A CIRCLE: A secant line to a circle is a line that intersects a circle in exactly two point

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