Download Geometry – Lines and Angles Two lines are parallel in a plane (2

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Space wikipedia , lookup

Plane of rotation wikipedia , lookup

Duality (projective geometry) wikipedia , lookup

Perspective (graphical) wikipedia , lookup

Pythagorean theorem wikipedia , lookup

History of trigonometry wikipedia , lookup

Multilateration wikipedia , lookup

Line (geometry) wikipedia , lookup

Rational trigonometry wikipedia , lookup

Trigonometric functions wikipedia , lookup

Perceived visual angle wikipedia , lookup

Euler angles wikipedia , lookup

Euclidean geometry wikipedia , lookup

Transcript
Geometry – Lines and Angles
Two lines are parallel in a plane (2-dimensional space) if they never cross (like
railroad tracks!)
Two lines are perpendicular in a plane if they cross in 90o angles.
Two angles are complementary if their measures add to be 90o.
Two angles are supplementary if their measures add to be 180o.
Congruent: coinciding exactly when superimposed. (American Heritage Dictionary, 4th
ed.)
Acute Angle: An angle measuring between 0o and 90o. (“acute” means “sharp”.)
Right Angle: An angle measuring exactly 90o. (A “square corner”)
Obtuse Angle: An angle measuring between 90o and 180o. (“obtuse” means
“blunt”)
Straight Angle: An angle measuring exactly 180o. (A line!)
3 2
4
1
`
5 6
Vertical Angles - ∠1 and ∠4, ∠2 and ∠5, ∠3 and ∠6.
Vertical angles are “backed up” to each other. Notice, they have the same
measure. (Congruent)