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D an angle outside the circle formed by two secants a

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Unformatted text preview: perties www.petersons.com Geometry 215 Exercise 7 Work out each problem. Circle the letter that appears before your answer. 1. Find the number of degrees in the sum of the interior angles of a hexagon. (A) 360 (B) 540 (C) 720 (D) 900 (E) 1080 In parallelogram ABCD, AB = x + 4, BC = x – 6, and CD = 2x – 16. Find AD. (A) 20 (B) 24 (C) 28 (D) 14 (E) 10 In parallelogram ABCD, AB = x + 8, BC = 3x, and CD = 4x – 4. ABCD must be a (A) rectangle (B) rhombus (C) trapezoid (D) square (E) pentagon 4. The sum of the angles in a rhombus is (A) 180° (B) 360° (C) 540° (D) 720° (E) 450° Which of the following statements is false? (A) A square is a rhombus. (B) A rhombus is a parallelogram. (C) A rectangle is a rhombus. (D) A rectangle is a parallelogram. (E) A square is a rectangle. 5. 2. 3. www.petersons.com 216 Chapter 13 8. CIRCLES A. A central angle is equal in degrees to its intercepted arc. If arc AB = 50°, then angle AOB = 50°. B. An inscribed angle is equal in degrees to one-half its intercepted arc. If arc AC = 100°, then angle ABC = 50°. C. An angle formed by two chords intersecting in a circle is equal in degrees to one-half the sum of its intercepted arcs. If arc AD = 30° and arc CB = 120°, then angle AED = 75°. D. An angle outside the circle formed by two secants, a secant and a tangent, or two tangents is equal in degrees to one-half the difference of its intercepted arcs. If arc AD = 120° and arc BD = 30°, then angle C = 45°. E. Two tangent segments drawn to a circle from the same external point are congruent. If AC and AE are tangent to circle O at B and D, then AB ≅ AD. www.petersons.com Geometry 217 Exercise 8 Work out each problem. Circle the letter that appears before your answer. 1. If circle O is inscribed in triangle ABC, find the length of side AB. 4. Find the number of degrees in arc AC. (A) (B) (C) (D) (E) 2. 12 14 9 10 7 (A) (B) (C) (D) (E) 5. 60 50 25 100 20 The number of degrees in angle ABC is Find angle x. (A) (A) (B) (C) (D) (E) 3. 40° 20° 50° 70° 80° (B) (C) (D) (E) 1 y 2 y 1 x 2 1 ( x − y) 2 1 ( x + y) 2 Find angle x. (A)...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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