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Lesson 1 Properties of Tangents to a Circle.notebook February 01, 2015 Outcomes Shape & 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 Theoreum Remember your types of Triangles?

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

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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