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
Golden ratio wikipedia , lookup
Penrose tiling wikipedia , lookup
Technical drawing wikipedia , lookup
Apollonian network wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Rational trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Trigonometric functions wikipedia , lookup
History of trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Euclidean geometry wikipedia , lookup
102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 Date: Lesson 8 Solve for Unknown Angles—Angles in a Triangle Sep 234:15 PM 1 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 DO NOW: Find the measure of angle x in the figure to the right. Explain your calculations Sep 234:17 PM 2 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 Discussion The sum of the 3 angle measures of any triangle is . In any triangle, the measure of the exterior angle is equal to the sum of the measures of the angles. These are sometimes known as _________________________ angles. Base angles of an Each angle of an __________ triangle are equal in measure. __________ triangle has a measure equal to 60°. Relevant Vocabulary Isosceles Triangle: An isosceles triangle is a triangle with at least two sides of equal length. Draw a figure for Isosceles Triangle and label accordingly. Sep 234:18 PM 3 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 Interior of a Triangle: A point lies in the interior of a triangle if it lies in the interior of each of the angles of the triangle. Exercises 1. Find the measure of angle ‘a’ in the figure to the right. Justify your results. Sep 234:19 PM 4 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 In each figure, determine the measures of the unknown (labeled) angles. Give reasons for your calculations. Sep 234:20 PM 5 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 Sep 234:22 PM 6 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 Homework: due 10/27/15 from lesson #5 & #8 AND from L.8 HW #3 Oct 268:31 AM 7 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 Sep 234:23 PM 8 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 Sep 234:23 PM 9 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 Sep 234:24 PM 10 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 Geometry M1L8 HW Solve for Unknown Angles in Triangles Find the unknown (labeled) angle in each figure. Justify your calculations. Sep 234:24 PM 11 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 Sep 234:25 PM 12 102315 Geo M1L8 Solve for Unknown Angles in Triangles.notebook October 26, 2015 Sep 234:25 PM 13