Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Multilateration wikipedia , lookup
Noether's theorem wikipedia , lookup
Riemannian connection on a surface wikipedia , lookup
Pythagorean theorem wikipedia , lookup
History of trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Rational trigonometry wikipedia , lookup
Line (geometry) wikipedia , lookup
PARALLEL LINES AND TRANSVERSALS CORRESPONDING ANGLES POSTULATE • Two lines cut by a transversal are parallel if and only if the pairs of corresponding angles are congruent. ALTERNATE INTERIOR ANGLES THEOREM • Two lines cut by a transversal are parallel if and only if the pairs of alternate interior angles are congruent. ALTERNATE EXTERIOR ANGLES THEOREM • Two lines but by a transversal are parallel if and only if the pairs of alternate exterior angles are congruent. CONSECUTIVE INTERIOR ANGLES THEOREM • Two lines cut by a transversal are parallel if and only if the pairs of consecutive interior angles are supplementary. CONSECUTIVE EXTERIOR ANGLES THEOREM • Two lines cut by a transversal are parallel if and only if the pairs of consecutive exterior angles are supplementary. TRANSITIVE PROPERTY OF PARALLEL LINES • If two lines are parallel to the same line, then they are parallel to each other. EXAMPLE • Find each numbered angle. EXAMPLE • Find the value of x. EXAMPLE • Find the value of x. The picture may not be drawn to scale. (3x + 5)o (7x – 15)o ASSIGNMENT • Pg. 157: 4-19