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Page 1: Lesson 1 - Properties of Tangents to a …msnielsencoursessite.weebly.com/uploads/1/3/5/8/13589317/...Lesson 1 Properties of Tangents to a Circle.notebook February 01, 2015 Outcomes

Lesson 1 ­ Properties of Tangents to a Circle.notebook February 01, 2015

OutcomesShape & Space (Unit 1, 7/8)

Measurement 

1. Solve problems and jusfy the soluon strategy, using the following circle properes:

• the perpendicular from the centre of a circle to a chord bisects the chord 

• the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc 

• the inscribed angles subtended by the same arc are congruent 

• a tangent to a circle is perpendicular to the radius at the point of tangency.

Review of Pythagorean TheoreumRemember your types of Triangles?

Page 2: Lesson 1 - Properties of Tangents to a …msnielsencoursessite.weebly.com/uploads/1/3/5/8/13589317/...Lesson 1 Properties of Tangents to a Circle.notebook February 01, 2015 Outcomes

Lesson 1 ­ Properties of Tangents to a Circle.notebook February 01, 2015

Remember from Before...

Similar Triangles

*All angles are the same 

Angles in a Triangle

 *All angles have to add to 180

Practice Your Skills

Complete the Triangles

Definitions

Radius ­ the length of a line segment from its center to its perimeter 

Congruent ­ Lines that are the same length

Parallel Lines ­ two lines that do not meet

Perpendicular Lines ­ two lines that do meet

Page 3: Lesson 1 - Properties of Tangents to a …msnielsencoursessite.weebly.com/uploads/1/3/5/8/13589317/...Lesson 1 Properties of Tangents to a Circle.notebook February 01, 2015 Outcomes

Lesson 1 ­ Properties of Tangents to a Circle.notebook February 01, 2015

Page 4: Lesson 1 - Properties of Tangents to a …msnielsencoursessite.weebly.com/uploads/1/3/5/8/13589317/...Lesson 1 Properties of Tangents to a Circle.notebook February 01, 2015 Outcomes

Lesson 1 ­ Properties of Tangents to a Circle.notebook February 01, 2015

Practice Your Skills!

Stage 1: 3, 5, 8, 12

Stage 2: 4, 6, 9, 11, 14


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