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Name: _____________________________________________________________ CHAPTER 9 HOMEWORK Day Section 9.1 Pages 368 – 369 Assignment Warm-up: Factoring 1 #1aceg, 2ace, 3,ab, 4ac, 5ace, 6ace, 7ace, 8ac 9.3 379 – 383 Class work: Simplifying Radicals #1, 3abc, 4ad, 5, 21(hint: find AB first, then DB) Class work: Geometric Mean 2 Period: ________________ GEOMETRY 2010-2011 Definitions & Properties Factoring Simplifying radicals Quadratic equations Thm: Altitude to a Hypotenuse – If an altitude is drawn to the hypotenuse of a right triangle, then: a) The two triangles formed are similar to the given triangle b) The altitude is the geometric mean of the two segments of the hypotenuse c) The legs are geometric means of the hypotenuse and the segments x h h2 x y h y y a a2 c y a c x a a2 x c a c 9.4 & 9.6 387 – 391 403 3 #1aceg, 3, 5, 7 9, 13, 14, 20 Learn Common Triples # 10 Thm: Pythagorean – In a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse. Class Work: Pythagorean Theorem Quiz 9.5 4 9.7 Part I 394 – 397 #1ace, 2, 3, 6a, 7, 18 Pythagorean Theorem Quiz a 2 + b 2 = c2 Thm: (Converse of Pythagorean Thm) If the sum of the squares of two sides is equal to the square of the other, then the triangle is right. The Distance Formula: For two points (x1, y1) and (x2, y2), the distance between them is Thm: A 30˚ 60˚ 90˚ right triangle has sides x, x√3, 2x. Thm: A 45˚ 45˚ 90˚ right triangle has sides x, x, x√2. Pythagorean Triples: (3, 4, 5), (5, 12, 13) (7, 24, 25), (8, 15, 17) Done CHAPTER 9 HOMEWORK Day Section 9.7 Part II Pages 408 – 412 Assignment #1abc, 2abc, 3ab, 4ab, 5, 7, 15, 16, 22 9.9 420 – 422 #1–9, 11 5 Definitions & Properties Thm: A 30˚ 60˚ 90˚ right triangle has sides x, x√3, 2x. Thm: A 45˚ 45˚ 90˚ right triangle has sides x, x, x√2. Pythagorean Triples: (3, 4, 5) (5, 12, 13) (7, 24, 25) (8, 15, 17) Trigonometry of a right triangle: sine, cosine, and tangent. opposite hypotenuse adjacent cos A hypotenuse opposite tan A adjacent sin A 6 9.10 Part I 9.10 Part II 7 9.Rev Class work: Angles of Elevation & Depression 425 – 427 #1, 4abc, 5, 6ab Review Worksheet & Study Guide Trigonometry & Pythagorean Theorem 8 9.Test Quiz Date: 3rd & 4th ~ Tuesday March 1 (After this test, you get a 4-day weekend with NO Homework ) SOHCAHTOA Inverse Trigonometry Ratios: Find the angle if the sine, cosine or tangent is known. Angle of Elevation: angle above the horizon. Angle of Depression: angle below the horizon. Inverse Trigonometry Ratios: Find the angle if the sine, cosine or tangent is known. Angle of Elevation: angle above the horizon. Angle of Depression: angle below the horizon. Done