University:
High School
Course:
High School Geometry
Academic year:

2019
Views:

127

Pages:

2
Author:

Raven Bond

Chapter 9 Study Guide Geometry 9.1 The Pythagorean Theorem Solve for the variable. 1) 2) Decide if the numbers make a triangle. If so classify it. 3) 6, 9.2 Special Right Triangles 2, 5 4) 10, 6, 3 Solve for the variables. 1) a 4) 3, 2) d b 3) If 9.3 Similar Right Triangles 5, 4 c the legs of a square equal 6, what is the length of the diagonal? 1) Find the geometric mean for 9 and Complete the proportions using the picture 12 a ? = x a 2) 4) b a Find the variables 5) 9.4 The Tangent Ratio 6) = 3) y h = ? x h ? 7) Solve for x. (answers in trig and decimal form.) 1) 2) 3) x° 4) Write the tangent ratio for ∠ A and ∠ B A ladder that is 15 feet long is leaning against a wall. The ladder needs to make a 70° angle of elevation is to be safe. How far away from the wall is the ladder? 5) 9.5 The Sine and Cosine Ratios Solve for x (answers in trig and decimal form.) 1) 2) 3) 4) 10 6 x° 8 15 x° 5) 9.6 Solving Right Triangles You are skiing on a mountain that is 1200 meters high. The angle of depression is 21°. About how far do you ski down the mountain? Approximate the measures of each angle to the nearest tenth of a degree. 1) tan X = 0.16 2) cos Y = 0.27 3) sin Z = 0.31 Solve the triangle. (answers in trig and decimal form.) 4) 5) 9.7 Law of Sines and Cosines Find the trig ratio to the fourth decimal place. Find the area of ∆ABC (in trig and decimal form.) 1) sin 3) 200° 2) tan Solve for the variable stated. 4) AB 285° 5) ∠B