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Lesson 1 Properties of Tangents to a Circle.notebook 1 February 02, 2015 Jan 267:56 PM Jan 267:57 PM Outcomes Shape & Space (Unit 1, 7/8) Measurement 1. Solve problems and justify the solution strategy, using the following circle properties: 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. Feb 17:20 PM Review of Pythagorean Theoreum Jan 268:09 PM Remember your types of Triangles?

Lesson 1 - Properties of Tangents to a Circle.notebook

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Page 1: Lesson 1 - Properties of Tangents to a Circle.notebook

Lesson 1 ­ Properties of Tangents to a Circle.notebook

1

February 02, 2015

Jan 26­7:56 PM Jan 26­7:57 PM

OutcomesShape & Space (Unit 1, 7/8)

Measurement 

1. Solve problems and justify the solution strategy, using the following circle properties:

• 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.

Feb 1­7:20 PM

Review of Pythagorean Theoreum

Jan 26­8:09 PM

Remember your types of Triangles?

Page 2: Lesson 1 - Properties of Tangents to a Circle.notebook

Lesson 1 ­ Properties of Tangents to a Circle.notebook

2

February 02, 2015

Jan 26­8:05 PM

Remember from Before...

Similar Triangles

*All angles are the same 

Angles in a Triangle

 *All angles have to add to 180

Jan 26­8:08 PM

Practice Your Skills

Complete the Triangles

Feb 2­8:37 AM Jan 26­8:25 PM

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 Circle.notebook

Lesson 1 ­ Properties of Tangents to a Circle.notebook

3

February 02, 2015

Feb 2­8:37 AM Feb 1­8:06 PM

Jan 26­7:59 PM Jan 26­8:01 PM

Page 4: Lesson 1 - Properties of Tangents to a Circle.notebook

Lesson 1 ­ Properties of Tangents to a Circle.notebook

4

February 02, 2015

Feb 1­8:07 PM Jan 26­8:17 PM

Jan 26­8:18 PM Jan 26­8:18 PM

Practice Your Skills!

Stage 1: 3, 5, 8, 12

Stage 2: 4, 6, 9, 11, 14

Page 5: Lesson 1 - Properties of Tangents to a Circle.notebook

Lesson 1 ­ Properties of Tangents to a Circle.notebook

5

February 02, 2015

Jan 26­8:21 PM Feb 1­7:26 PM