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A b c d e 40 60 90 120 cannot be determined if

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Unformatted text preview: –4) 5. (0, –4) 1 2 ,1 2 1 −1, −2 2 www.petersons.com Geometry 209 5. PARALLEL LINES A. If two lines are parallel and cut by a transversal, the alternate interior angles are congruent. If AB is parallel to CD , then angle 1 ≅ angle 3 and angle 2 ≅ angle 4. B. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If AB is parallel to CD , then angle 1 ≅ angle 5 angle 2 ≅ angle 6 angle 3 ≅ angle 7 angle 4 ≅ angle 8 C. If two parallel lines are cut by a transversal, interior angles on the same side of the transversal are supplementary. If AB is parallel to CD , angle 1 + angle 4 = 180° angle 2 + angle 3 = 180° www.petersons.com 210 Chapter 13 Exercise 5 Work out each problem. Circle the letter that appears before your answer. 1. If AB is parallel to CD , BC is parallel to ED , and angle B = 30°, find the number of degrees in angle D. 4. If AB is parallel to CD, EF bisects angle BEG, and GF bisects angle EGD, find the number of degrees in angle EFG. (A) (B) (C) (D) (E) 2. 30 60 150 120 none of these 5. If AB is parallel to CD , angle A = 35°, and angle C = 45°, find the number of degrees in angle AEC. (A) (B) (C) (D) (E) 40 60 90 120 cannot be determined If AB is parallel to CD and angle 1 = x°, then the sum of angle 1 and angle 2 is (A) (B) (C) (D) (E) 3. 35 45 70 80 100 If AB is parallel to CD and angle 1 = 130°, find angle 2. (A) (B) (C) (D) (E) 2x° (180 – x)° 180° (180 + x)° none of these (A) (B) (C) (D) (E) 130° 100° 40° 60° 50° www.petersons.com Geometry 211 6. TRIANGLES A. If two sides of a triangle are congruent, the angles opposite these sides are congruent. If AB ≅ AC , then angle B ≅ angle C. B. If two angles of a triangle are congruent, the sides opposite these angles are congruent. If angle S ≅ angle T, then RS ≅ RT . C. The sum of the measures of the angles of a triangle is 180°. Angle F = 180º – 100º – 30º = 50º. www.petersons.com 212 Chapter 13 D. The measure of an exter...
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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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