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Cp Geometry Miss Sciandra Name:_________________________________ Date:_______ Period:_______ Section 3.1 Lines & Angles Warm Up: 2 1 3 6 5 7 4 8 Describe and name two Adjacent Angles ___________________________________________________ ______________________________________________________________________________________________________ Describe and name two Vertical Angles ____________________________________________________ ______________________________________________________________________________________________________ Describe and name two Supplementary Angles ____________________________________________ ______________________________________________________________________________________________________ Describe and name two Complementary Angles ___________________________________________ ______________________________________________________________________________________________________ Describe and name two Corresponding Angles _____________________________________________ ______________________________________________________________________________________________________ Describe and name two Alternate Interior Angles _________________________________________ ______________________________________________________________________________________________________ Describe and name two Alternate Exterior Angles _________________________________________ ______________________________________________________________________________________________________ Circle all types of angle pairs that are congruent ALWAYS. Adjacent Vertical Supplementary Complementary Corresponding Alternate Interior Alternate Exterior Cp Geometry Miss Sciandra Name:_________________________________ Date:_______ Period:_______ Identify each pair of angles as adjacent, vertical, complimentary, supplementary, congruent, linear pair. List ALL that apply. a a b b b a a a b b a b a b E Find the measure of the indicated angles. A 16. mBCA 17. mBAC B 30° C 50° 18. mBCD 19. mBAE D Cp Geometry Miss Sciandra Name:_________________________________ Date:_______ Period:_______ Name ___________________________________________ Date ______________ Course 3, Lesson 54: Angle Relationships Homework Identify each pair of angles as adjacent, vertical, complimentary, supplementary, congruent or linear pair. List ALL that apply. Identify each pair of angles as corresponding, alternate-interior, or alternate-exterior. Also state whether they are congruent or supplementary. Find the measure of angle b and describe how it is related to the given angle measure. Cp Geometry Name:_________________________________ Miss Sciandra Date:_______ Period:_______ 11) 12) 60° 65° b b 13) 14) 244° b 46° b 23° 15) 16) b 39° 85° b ** BONUS** Find the value of x. 17) 18) 35° (2x + 16)° (4x + 3)° (6x + 2)° 56° Cp Geometry Miss Sciandra Name:_________________________________ Date:_______ Period:_______ Key: Warm Up: 1. Adjacent= Next To (share a ray). Answers Vary: EX: 7 & 8 2. Vertical= Opposite, formed by two lines, congruent. Answers Vary: EX: 1 & 4 3. Supplementary= Measures sum to 180°. Answers Vary: EX: 5 & 6 4. Complementary= Measures sum to 90°. Not enough information. 5. Corresponding= Angle can be translated (slid), congruent. Answers Vary: EX: 2 & 6 6. Alternate-Interior= opposite sides of transversal, on inside of parallel lines, congruent, do not share a vertex. Answers Vary: EX: 3 & 6 7. Alternate-Exterior= opposite sides of transversal, on outside of parallel lines, congruent. Answers Vary: EX: 1& 8 8. Congruent: Vertical, Corresponding, Alternate-Interior, Alternate Exterior Page 2 1. Adjacent 2. Vertical, Congruent 3. Adjacent 4. Adjacent, Linear Pair, Supplementary 5. Adjacent 6. Adjacent, Linear Pair, Supplementary 7. Vertical, Congruent 8. Complimentary, Adjacent 9. Supplementary 10. 11. 12. 13. 14. 15. FGE & CGD (only) FGC & EGD (only) Answers Vary: EX: EGF & FGA (Two letters are in common) Answers Vary: EX: FGA & AGD Answers Vary: EX: AGB & BGC Answers Vary: EX: FGE & EGD 16. 17. 18. 19. 150° 100° 130° 80° Cp Geometry Miss Sciandra Name:_________________________________ Date:_______ Period:_______ Page 3 1. Vertical, Congruent 2. Adjacent, Supplementary, Linear Pair 3. Vertical, Congruent 4. Adjacent, Complimentary 5. Adjacent, Complementary 6. Adjacent 7. Corresponding, Congruent 8. Alternate-Interior, Congruent 9. Alternate-Exterior, Congruent. 10. Corresponding, Congruent Page 4 11. 25° (complementary to 65°) 12. 60° (alternate-exterior with 60°) 13. 93° (360°-(244°+23°)) 14. 46° (vertical with 46°) 15. 51° (complementary with 39°) 16. 95° (makes a linear pair to an angle that is corresponding (or alternateinterior) with 85° Bonus: 17. x = 51 (4x + 3 + 2x + 16 + 35 = 360) 18. x = 9 (6x + 2 = 56)