16bf10lec6 - Math 16b Thomas Scanlon Autumn 2010 Thomas...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 16b Thomas Scanlon Autumn 2010 Thomas Scanlon Math 16b Angle measurements From geometry, we are used to measuring angles between two rays. Figure: BAC Thomas Scanlon Math 16b Straight angle If the rays are collinear but distinct, then we have a straight angle whose measure is by de nition 180 . Figure: m BAC = 180 Thomas Scanlon Math 16b Right angle If the rays are perpendicular, then we have a right angle which is half of a straight angle, and hence has a measure of 90 . Figure: m BAC = 90 Thomas Scanlon Math 16b Acute and obtuse angles An acute angle has a measure between 0 and 90 An obtuse angle has a measure between 90 and 180 . Figure: m BAC > 90 Thomas Scanlon Math 16b Zero degrees The angle between a ray and itself is . Figure: m BAC = Thomas Scanlon Math 16b Negative angles? If an angle of 0 is meaningful, what might we mean by an angle measure of less than zero? We will de ne the angle measurement from one ray to another (sharing a base point) in the counterclockwise direction to be positive and the angle measurement for the same rays but taken in the clockwise direction to be additive inverse of the rst measure....
View Full Document

This note was uploaded on 02/08/2011 for the course MATH 16B taught by Professor Sarason during the Fall '06 term at University of California, Berkeley.

Page1 / 21

16bf10lec6 - Math 16b Thomas Scanlon Autumn 2010 Thomas...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online