PPT-5.1 Angles of Triangles November 21, 2016

Geometry 51 Angles of Triangles Essential Question How are the angle measures of a triangle related 51 Angles of Triangles November 21 2016 51 Angles of Triangles November 21 2016 Goals . Angles that form angles Angles that form A A complete revolution complete revolution add up to add up to 360 360 Exam Exam ple ple ABC forms a ABC forms a complete complete revolution with revolution with reflex reflex ABC ABC 360 360 35 325 35 Revising& November November November November PI/PDsrole November November November Novemberstatement a. What appears to be true about the lengths of the three tower braces that form a triangle?. b. It also appears that the three angles of the triangles formed by the braces are congruent. If this is true, what is the measure of each of the angles?. Talya Eden, . Tel Aviv . University. Amit Levi, . University of Waterloo. Dana . Ron, . Tel Aviv . University. C. . Seshadhri. , . UC Santa Cruz. Counting Triangles. Basic graph-theoretic algorithmic . TOPIC/Objective: . To use angles to tell whether triangles are similar. . Essential Question: . How can you use angles to tell if triangles are similar. . Example:. . The triangles have two pairs of congruent angles.. 4.2. SSS Postulate (Just call it SSS). If . three sides of one triangle . are congruent to. three sides of another triangle, . then the triangles are congruent.. SAS Postulate (Just call it SAS). If .   ARE THEY SIMILAR. ?. Erica . thinks the triangles at right might be similar.  She asks for your help.  The two triangles are drawn to scale.. If two shapes are similar, what must be true about their angles and sides?. Ms. Andrejko. Vocabulary. Included side-. the side located between two consecutive interior angles of a polygon. Real-World. Postulates/Theorems/Corollaries. P 4.3:. If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. Shape and Angles. Assumed knowledge. recall and use properties of angles. angles at a point. angles at a point on a straight line. perpendicular lines. vertically opposite angles. distinguish between scalene, isosceles, equilateral and right-angled triangles. What is a polygon?. Closed figure. At least 3 sides. Line segments are sides. Sides meet is call a vertex. More Polygon Terms. Diagonal – connects two non consecutive vertices. Concave – at least one diagonal outside polygon, dented in. Protractor: . What do you notice? . Task One: . Look at the protractor. Write down everything that you notice about the protractor. Try and come up with at least . 10 facts. Think about . number patterns . They are shapes with all straight sides. You’ve got triangles and squares. You’ve got . rhombuses . and hexagons. Just know that circles are not there.. I want to talk parallelograms!. They’ve got 2 pairs of parallel sides. Using Congruent Triangles. Congruent triangles have congruent corresponding parts. So, if you can prove the two triangles are congruent then you know their corresponding parts must be congruent as well.. Magic Triangles. There are 3 magic triangles, two of which are on your formula sheet. They let you do some trigonometric equations without calculators. These are a fundamental part of ”exact solutions” .