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Geometry 7.5 Tangent Ratio Notes WarmUp Agenda: 1) 6 - Warm-Up (Review of similar triangles) 2 10 March 16, 2016 x a) What theorem or postulate justifies that these triangles are similar? b) Find the value of x, using the following part of a proportion: 10 = __ 6 T 2) S x 4 Q P 7 R 14 a) b) Find the value of x: 4 = __ 14 - HW Quiz #7.1 - Investigation - 7.5 Examples from PW - HW #7.5 Big Idea: What is the tangent ratio? You will find missing sides of a right triangle using the tangent ratio. Vocabulary: tangent ratio, opposite leg, adjacent leg 1 Geometry 7.5 Tangent Ratio Notes March 16, 2016 Check your homework please... 2 Geometry 7.5 Tangent Ratio Notes March 16, 2016 3 Geometry 7.5 Tangent Ratio Notes March 16, 2016 4 Geometry 7.5 Tangent Ratio Notes March 16, 2016 Big Idea for the Chapter How are the sides and angles related to each other in a right triangle? How can we use these relationships to find missing side lengths and angles? What have we done so far? What are we given for each? - Pythagorean Theorem - Special Right triangles Where are we headed? - We are going to look at triangles with angles other than 45, 30, or 60 degrees - We are going to work with a very famous ratio - the ratio of the legs of a right triangle and use it to find missing side lengths... http://tube.geogebra.org/student/m1005083 http://www.geogebratube.org/student/m32568?lang=en 5 Geometry 7.5 Tangent Ratio Notes March 16, 2016 Please complete these questions on a separate sheet of paper... Please write your answers in complete sentences. 6 Geometry 7.5 Tangent Ratio Notes March 16, 2016 7 Geometry 7.5 Tangent Ratio Notes March 16, 2016 S R P 8 Geometry 7.5 Tangent Ratio Notes March 16, 2016 Let's summarize these results in your theorem/postulate list B opposite a C hypotenuse c b A adjacent 9 Geometry 7.5 Tangent Ratio Notes March 16, 2016 Turn to p. 136 in PW... 10