* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Angle Relationship Notes
Survey
Document related concepts
Rotation matrix wikipedia , lookup
Bent's rule wikipedia , lookup
Technical drawing wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Line (geometry) wikipedia , lookup
Rotation formalisms in three dimensions wikipedia , lookup
Perceived visual angle wikipedia , lookup
Integer triangle wikipedia , lookup
History of trigonometry wikipedia , lookup
Rational trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Trigonometric functions wikipedia , lookup
Transcript
Angle Relationship Notes Shapes and Designs Problem 3.4 Adjacent Angles side vertex Two angles that share a ____________ and a ___________. overlap They may not __________________. adjacent Angle ABC is _____________________ to angle CBD. B 𝐵𝐶 ____________ is the side they share, and ___________ is the common vertex. nothing Adjacent angles tell us _____________ about the measures of the angles. Complementary angles (remember Co – 90!!!) 90° TWO angles that have a sum of _______________. Since the Right 30° angle and the 60° angle form a _____________ complementary angle ________________, they are ______________________. If two lines, rays or segments meet and form right angles, they complementary are _________________________. If the measure of angle 1 is 30°, the measure of angle 2 must 60° be ______________ because the two angles 90° must add up to ________° Complementary angles Since one angle measures 30° and the other measures 60°, the 90° sum of their measures is __________° therefore, the two complementary Complementary angles angles are _________________. adjacent DO NOT _______________ need to be __________________. Supplementary angles TWO angles whose measures add up to 180 __________°. Since the 110° angle and the 70° are LINEAR, together they form a straight line, they are supplementary _______________________. Since the sum of the 180 two angles is _________°, they are called supplementary _________________. Supplementary angles adjacent DO NOT need to be ____________. __________ Vertical Angles Angles formed by the ______________ of two intersection lines straight ____________ ____________. other opposite each __________. They are ______________ from ______ Vertical angles are ALWAYS congruent _____________________. Corresponding Angles parallel A pair of angles that are formed when two _______________ transversal lines are cut by a _____________________. These two angles location at each intersection. If the are in the same ______________ transversal were cut in half and laid on top of each other, ______________ position location or _________. the two angles would be in the same _________ always congruent Corresponding angles are ______________ ______________. Corresponding angles can be tested using the “F” test… Alternate Interior Angles inside Two angles that are _____________ parallel lines transversal and are on opposite sides of a _________________. The measures of alternate interior angles are always congruent ______________________. Alternate Interior angles can be tested with the “Z” test… Alternate Exterior Angles outside Two angles that are _______________ parallel lines transversal and are on opposite sides of a __________________. The measures of alternate exterior angles are congruent always ______________________. Same Side Interior Angles inside Two angles that are _______________ parallel lines and are same transversal on the ________________ side of the ________________. The measures of same side interior angles always add up supplementary to _______ 180° and are ______________________. Same Side Exterior Angles outside Two angles that are _______________ parallel lines and are same transversal on the ________________ side of the ________________. The measures of same side exterior angles always add up supplementary 180° and are ______________________. to _______