Hint: Set up & solve a system of equations. Geometry/Trig Name __________________________ Quiz 3-1, 3-2, 3-3 Date ______________ Block _______ I. Identify the types of angles. (Lines aren’t necessarily parallel). 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 _____________________________ a b d 1 5 2 6 3 7 4 8 13 14 9 10 11 12 15 16 c II. In the below diagrams, solve for the missing variables. Leave any non-integer answers as simplified fractions. 9) 10) 11) xº (x+y)º (2x+7y)º 16º 52º 2xº 70º (3y+11)º 130º Hint: Set up & solve a system of equations. yº zº 68º x = _____ y = _____ z = _____ x = _____ y = _____ x = _____ 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. __________________ 15) Name two parallel planes. _____________________ 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. ____________ A B C D F G E H

IV. Complete the below proofs. 6 5 4 8 3 1 2 7 k l t 19) Given: k || l Prove: 1 is supplementary to 7 Statements Reasons 1. ________________________________ 1. ______________________________ 2. 1 and 4 are supplementary 2. ______________________________ ______________________________ 3. ________________________________ 3. Definition of Supplementary Angles 4. ________________________________ 4. Vertical Angles are Congruent 5. ________________________________ 5. _____________________________ 6. 1 is supplementary to 7 6. _____________________________ 20) Given: 1 is supplementary to 7 Prove: k || l Use the diagram above. Statements Reasons 1. 1 and 7 are supplementary 1. ______________________________ 2. ________________________________ 2. ______________________________ 3. ________________________________ 3. Definition of Linear Pair 4. m1 + m7 = m7 + m8 4. ______________________________ 5. ________________________________ 5. Subtraction 6. ________________________________ 6. ______________________________ ______________________________ 21) Note: this proof can be completed many different ways (minimum of 4 steps!!) Given: k || l Prove: 3  6 Use the diagram above. Statements Reasons

Geometry/Trig Quiz 3-1, 3-2, 3-3 Page 3 j k l m 6 5 4 22) Given: j || k; 1  5 Prove: l || m Statements Reasons 1. ________________________________ 1. ______________________________ 2. 1  2 2. ______________________________ ______________________________ 3. ________________________________ 3. Given 4. 2  5 4. _____________________________ 5. ________________________________ 5. ______________________________ ______________________________ c d b a 4 2 3 1 8 6 7 5 12 10 11 9 16 14 15 13 23) Given: a || b ; c || d Prove: 13 is supplementary to 8 Statements Reasons 1. ________________________________ 1. ______________________________ 2. 13  15 2. ______________________________ ______________________________ 3. c || d 3. Given 4. ________________________________ 4. If lines are parallel, then corresponding angles are congruent. 5. 13  7; m13 = m7 5. Substitution 6. m7 + m8 = 180 6. ______________________________ 7. ________________________________ 7. ______________________________ 8. ________________________________ 8. ______________________________