Angles Recap Slope Types Zero Undefined Negative and

Angles

Recap • Slope Types • Zero, Undefined, Negative and positive slope • Parallel and perpendicular lines when given slope • Slope Intercept form • When given a parallel slope and or perpendicular • Point Slope Form • When given a parallel slope and or perpendicular

What we will cover • All of the different types of angles

Angles • Positive Angles are measured counter clockwise (due to tradition) • GOES IN THE DIRECTION OF QUADRANTS I-IV • Therefore, negative angles are measured clockwise

Figure 1 Angle • Figure 2

You try • Name all possible angles on the diagram below:

Zero Angle (A RAY)

Acute Angle • Format An acute angle expressed as an inequality 0<x<90 An acute angle is more than 0 degrees, but less than 90 degrees.

Right Angle • Format Right Angle: x=90 For it to be a right angle, the degrees has to be exactly 90.

Obtuse Angle • Format Obtuse Angle: 90<x<180 For an angle to be obtuse, the angle must be greater than 90 degrees, but less than 180 degrees.

Straight Angle (Straight Line) • Format Straight Angle: x= 180 For something to be a straight line, the angle must equal 180 degrees. Nothing more and nothing less.

Reflex Angle • Format Reflex Angle 180<x<360 • For reflex, the angle must be more than 180 degrees and less than 360 degrees.

Full Rotation (circle Format: Full rotation: x=360 For a full rotation. The degrees must be equal to 360 degrees. • This is a "full rotation" or "revolution" or "complete turn" or "full circle"

Example

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• Two angles are complementary angles if the sum of their measures is 90 degrees. • Each angle is the complement of the other. • Two angles are supplementary angles if the sum of their measures is 180 degrees. • Each angle is the supplement of the other.

Complementary = Right Angle Supplementary = Straight Angle (line) • Adjacent angles are two angles that share a common vertex and side, but have no common interior points.

Example

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Example

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Example

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