* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Warm Up
Survey
Document related concepts
Perspective (graphical) wikipedia , lookup
Rotation formalisms in three dimensions wikipedia , lookup
Technical drawing wikipedia , lookup
Integer triangle wikipedia , lookup
Geometrization conjecture wikipedia , lookup
Pythagorean theorem wikipedia , lookup
History of geometry wikipedia , lookup
History of trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Rational trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Line (geometry) wikipedia , lookup
Transcript
Untitled.notebook October 28, 2015 Warm Up... 1 Untitled.notebook October 28, 2015 HW questions... 2 Untitled.notebook October 28, 2015 Notes Geometry Theorems.doc *** Now that the notes are taken care of... BIG let's do some examples to UNDERSTAND these ideas!!! 3 Untitled.notebook October 28, 2015 Geometry Theorems... Example: x 42o 46o 4 Untitled.notebook October 28, 2015 EXAMPLES... 1) The two angles that are opposite to the equal sides. 50o a 2) b 20 5 Untitled.notebook October 28, 2015 • Complementary Angles: Two or more angles that have a sum of 90o. Examples: (1) What is the complement of a 50o angle? (2) Determine the measure of the missing angle. • Supplementary Angles: Two or more angles that have a sum of 180 o. Examples: 6 Untitled.notebook October 28, 2015 Opposite Angle Theorem... Example: b c 7 Untitled.notebook October 28, 2015 EXERCISE: Use geometry theroems to determine the measure of missing angles... 1) 2) 3) 4) 8 Untitled.notebook October 28, 2015 Parallel Line Theorems A transversal is a third line that crosses two or more lines, as shown in the illustration to the right. Corresponding Angles: Pairs of angles on the same side of a transversal and the same side of the parallel lines CORRESPONDING ANGLES ARE EQUAL 9 Untitled.notebook October 28, 2015 Alternate Interior Angles: Pairs of angles on the opposite sides of a transversal and between the parallel lines ALTERNATE INTERIOR ANGLES ARE EQUAL 10 Untitled.notebook October 28, 2015 CoInterior Angles (Sameside Interior): Pairs of angles on the same side of a transversal and between the parallel lines COINTERIOR ANGLES ARE SUPPLEMENTARY 11 Untitled.notebook October 28, 2015 EXERCISE: Practice... A) B) 12 Untitled.notebook October 28, 2015 C) 13 Untitled.notebook October 28, 2015 HW: Complete the following... Worksheet Angle Properties.pdf 14 Attachments Notes Geometry Theorems.doc Worksheet Angle Properties.pdf