Lesson 15 4 Materials Notes Textbook Module 15

Lesson 15. 4 Materials: Notes Textbook

Module 15: Angles and Segments in Circles Intersecting Chords C A Q D B

Module 15: Angles and Segments in Circles Chord Product Theorem Practice Find the measure of the missing segment (labeled with an ‘x’) given the measures of the other three segments. C A 4 cm 6 cm Q 3. 4 cm x cm D B

Module 15: Angles and Segments in Circles Chord Product Theorem Practice Find the measure of the missing segment QB by solving for ‘x’. C A 8 cm 10 cm Q 4 cm (x + 2) cm D B

Module 15: Angles and Segments in Circles Intersecting Chords But why does this work? C A Q D B

Module 15: Angles and Segments in Circles Intersecting Chords What can we determine about triangles ADQ and CBQ? C A Q D B

Module 15: Angles and Segments in Circles Secants A secant is a segment that intersects a circle at two points, where at most one endpoint is on the circle.

Module 15: Angles and Segments in Circles Secants When two secants connect outside of a circle, four segments are created. A B C D E

Module 15: Angles and Segments in Circles Secants Find the value of ‘x’ in the diagram. A 14 B 6 C D E x 8

Module 15: Angles and Segments in Circles Secants Find the value of ‘x’ in the diagram. A x+2 B 2 C D E 5 3

Module 15: Angles and Segments in Circles Secants Why does this work? A B C D E

Module 15: Angles and Segments in Circles Secants Why does this work? A What can we determine about triangles ADC and EBC? B C D E

Module 15: Angles and Segments in Circles Secants and Tangents When two secants connect outside of a circle, four segments are created. A B C D

Module 15: Angles and Segments in Circles Secants and Tangents A x B 4 C 6 D

Module 15: Angles and Segments in Circles Try these problems on page 823

Module 15: Angles and Segments in Circles Try these problems on page 824