Angles and Degrees part1

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Presentation Description

Part1 Mini lesson on angles in standard position.

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Presentation Transcript

Slide1: 

Angles & Measures

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A ray, or half-line, is that portion of a line that starts at a point V on the line and extends indefinitely in one direction. The starting point V of a ray is called its vertex. V Ray Definition: Angles in Standard Position

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If two rays are drawn with a common vertex, they form an angle. One of the rays of an angle is called the initial side and the other the terminal side. Definition:

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Vertex Initial Side Terminal side Counterclockwise rotation Positive Angle x

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Initial side Terminal side Vertex Draw a 45o angle x y

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Initial side Terminal side Vertex Draw a 90o angle x y

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Initial side Terminal side Vertex Draw a 180o angle x

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“Open” a positive angle in a clockwise direction

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Vertex Initial Side Terminal side Clockwise rotation Negative Angle x

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x y Initial side Vertex Terminal side

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Vertex Initial Side Terminal side Co – terminal Angles α x 300 = -60 + 360 Co-terminal 90 = -270 + 360

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How can we find three angles which are all co-terminal?

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Vertex Initial Side Terminal side Two positive co-terminal angles α x 450 = 90 + 360 90 = -270 + 360

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Initial side Vertex Terminal side x y

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10 Second Stretch Break