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PreAP Geometry Name:_________________________ Homework Packet for 10/26 to 10/30 Due Tuesday: pages 1-2 Due Wednesday: pages 3-4 Due Thursday: page 5 Due Friday: page 6 Foreman High School RFS Sheet – PPF 401 Name: (R) PPF 301- Exhibit some knowledge of the angles associated with parallel lines. (F) PPF 401 – Find the measure of an angle using properties of parallel lines. (S) PPF 501 – Use several angle properties to find an unknown angle measure. 1. (R) PPF 301 Classify each pair of angles as corresponding angles, alternate interior angles, same-side interior angles, alternate exterior angles, same-side exterior angles, vertical angles, or linear pair. a) 2 and 7 _______________________ 1 4 b) 4 and 5 _______________________ 5 8 2 3 6 7 c) 3 and 5 _______________________ 1 2 d) 1 and 7 _______________________ 8 7 e) 4 and 8 _______________________ 3 4 6 f) 8 and 6 _______________________ 5 g) 6 and 7 _______________________ 1 4 2 h) 3 and 7 _______________________ 3 8 5 6 7 i) 2 and 8 _______________________ 1 2. (R) PPF 301 Classify the marked angles as corresponding angles, alternate interior angles, same-side interior angles, alternate exterior angles, same-side exterior angles, vertical angles, or linear pair. a) b) c) Answer: Answer: d) e) f) Answer: Answer: Answer: g) h) i) Answer: Answer: Answer: Answer: 2 3. (F) PPF 401 Use the figure to complete the table. Give an example for each type of angle pair and decide whether the pair of angles are congruent or supplementary. 1 2 4 3 5 6 7 8 Type of Angle Pair Example Congruent or Supplementary? Same-Side Interior Angles Alternate Interior Angles Same-Side Exterior Angles Alternate Exterior Angles Corresponding Angles Vertical Angles Linear Pair 4. (F) PPF 401 Could x 12 in the figure below? 5. (F) PPF 401 Could x 25 ? m (4x+4)° (5x)° n 58° Yes or No? Yes or No? Explain: Explain: (3x+1)° 3 6. (F) PPF 401 Find all the missing angle measurements in the diagrams below. a) b) ? 42° ? ? ? ? ? ? ? ? ? ? ? ? c) 98° ? d) ? 125° 140° ? ? ? ? ? ? 76° Two more diagrams… e) ? ? ? ? ? ? 81° ? 44° f) ? ? ? ? 73° ? ? ? ? ? ? 64° ? ? ? ? ? ? ? ? ? ? ? ? 4 7. (F) PPF 401 Write an equation that could be used to determine the value of x and solve it! a) b) (6x-8)° (5x-30)° (2x+63)° 76° Workspace: Workspace: Answer:_________________ Answer:_________________ c) d) (2x+24)° (4x-14)° (7x+18)° (2x-16)° Workspace: Workspace: Answer:_________________ Answer:_________________ 5 8. (S) PPF 401 Find the value of x. You may need to use the facts that the angle measures of a triangle add to 180° while the angle measures of a quadrilateral add to 360°. a) b) x° x° 65° 70° 59° 131° c) d) x° 63° x° 53° 43° 62° 70° e) f) 24° 38° x° 80° 60° 48° x° 74° O.K. I’ve had enough! 6