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
Duality (projective geometry) wikipedia , lookup
History of trigonometry wikipedia , lookup
Integer triangle wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Trigonometric functions wikipedia , lookup
Contour line wikipedia , lookup
Euler angles wikipedia , lookup
Rational trigonometry wikipedia , lookup
ADVANCED GEOMETRY 5.2 Proving that Lines are Parallel Learner Objective: I will apply the Exterior Angle theorem and will use angles formed by a transversal to prove that lines are parallel. Given lines m and n cut by transversal t: Name the pairs of alternate interior angles. Name the pairs of corresponding angles. Name the pairs of alternate exterior angles. Name pairs of angles that are interior angles on the same side of the transversal. Name pairs of angles that are exterior angles on the same side of the transversal. An ______________________________ of a triangle is formed whenever a side of the triangle is extended to form an angle supplementary to the adjacent interior angle. The two other interior angles are referred to as ____________________________________ The Exterior Angle Inequality Theorem The measure of an exterior angle of a triangle is _______________________ the measure of either ________________________________________ mBCD ______ mBCD ______ Proving that Lines are Parallel If two lines are cut by a transversal such that two ________________ ____________________ are congruent, then the lines are _______________. If two lines are cut by a transversal such that two ________________ ____________________ are congruent, then the lines are _______________. If two lines are cut by a transversal such that two _______________ ____________________ are congruent, then the lines are _______________. If two lines are cut by a transversal such that two _______________ ______________________________________ are supplementary, then the lines are _______________. If two lines are cut by a transversal such that two _______________ ______________________________________ are supplementary, then the lines are _______________. If two coplanar lines are _____________________ to a third line, they are ____________________.