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Geometry/Trig Quiz 3-1, 3-2, 3-3 Name __________________________ Date ______________ Block _______ I. Identify the types of angles. (Lines aren’t necessarily parallel). c d 1 2 3 15 4 9 5 10 16 6 8 7 b 11 13 12 14 a 1) 3 and 8 _____________________________ 2) 3 and 7 _____________________________ 3) 1 and 15 _____________________________ 4) 15 and 11 _____________________________ 5) 8 and 13 _____________________________ 6) 13 and 14 _____________________________ 7) 15 and 9 _____________________________ 8) 5 and 6 _____________________________ II. In the below diagrams, solve for the missing variables. Leave any non-integer answers as simplified fractions. 10) 9) xº 11) 2xº 130º 52º yº zº 70º (3y+11)º Hint: Set up & solve a system of equations. 16º 68º x = _____ y = _____ x = _____ x = _____ z = _____ y = _____ y = _____ III. Use the diagram to the right to name each figure that is described. You must use proper notation. 12) Name two parallel lines. _________________ 13) Name two intersecting lines. _____________ 14) Name two skew lines. __________________ G 15) Name two parallel planes. _____________________ F E 16) Classify GF and AB as parallel, intersecting or skew. ____________ 17) Classify GE and DB as parallel, intersecting or skew. ____________ 18) Classify DE and DF as parallel, intersecting or skew. ____________ D H A C B IV. Complete the below proofs. 19) t Given: k || l Prove: 1 is supplementary to 7 1 4 3 2 5 6 8 7 k l Reasons Statements 1. ________________________________ 1. ______________________________ 2. 2. ______________________________ 1 and 4 are supplementary ______________________________ 3. ________________________________ 3. 4. ________________________________ 4. 5. ________________________________ 5. _____________________________ 6. 6. _____________________________ 1 is supplementary to 7 20) Given: 1 is supplementary to 7 Prove: Vertical Angles are Congruent Use the diagram above. k || l Statements 1. Definition of Supplementary Angles Reasons 1 and 7 are supplementary 1. ______________________________ 2. ________________________________ 2. ______________________________ 3. ________________________________ 3. 4. 4. ______________________________ m1 + m7 = m7 + m8 Definition of Linear Pair 5. ________________________________ 5. Subtraction 6. ________________________________ 6. ______________________________ ______________________________ 21) Note: this proof can be completed many different ways (minimum of 4 steps!!) Given: k || l Statements Prove: 3 6 Use the diagram above. Reasons Geometry/Trig Quiz 3-1, 3-2, 3-3 Page 3 l m 22) Given: j || k; 1 5 Prove: l || m 2 6 3 5 1 4 Statements j k Reasons 1. ________________________________ 1. ______________________________ 2. 2. ______________________________ 1 2 ______________________________ 3. ________________________________ 3. Given 4. 2 5 5. ________________________________ 4. _____________________________ 5. ______________________________ ______________________________ a 23) 1 Given: a || b ; c || d Prove: 13 is supplementary to 8 5 9 13 Statements 2 6 10 14 b 3 7 11 15 12 16 4 8 c d Reasons 1. ________________________________ 1. ______________________________ 2. 2. ______________________________ 13 15 ______________________________ 3. c || d 3. Given 4. ________________________________ 4. If lines are parallel, then corresponding angles are congruent. 5. 13 7; m13 = m7 6. m7 + m8 = 180 7. ________________________________ 8. ________________________________ 5. Substitution 6. ______________________________ 7. ______________________________ 8. ______________________________