Lines And Angles - WordPress

NameClassDatePractice3-1Form GLines and AnglesUse the diagram to name each of the following.Q1. a pair of parallel planes one of the following pairs:QRTS, UVXW; QUWS, RVXT; STXW, QRVU* )2. all lines that are parallel to RV* ) * ) * )U* )TX , QU , SW3. four lines that are skew to WX* ) * ) * ) * )* ) * ) *RVWAnswers may vary. Sample: TR , QS , RV , QU4. all lines that are parallel to plane QUVRTSX) * )Answers may vary. Sample: ST , TX , WX , SW5. a plane parallel to plane QUWSRVXTAIn Exercises 6–11, describe the statement as true or false. If false, explain. C* )* )7. plane DBF 6 plane ABDEFalse; the planesintersect.G9. DB 6 AEFalse; the lines are skew becausethey are noncoplanar.6. AE and EF are skew lines.* )* )False; AE and EF intersect.* ) * )* ) * )8. GH 6 EF true* )10. plane EFH 6 plane ABD true* )11. FH and CD are skew lines. true12. You are driving over a bridge that runs east to west. Below the bridge, ahighway runs north to south. Are the bridge and the highway parallel, skew,or neither? Explain.Skew; because the bridge is above the highway and they run in different directions,they are noncoplanar and cannot intersect.13. Open-Ended List parts of your classroom that fit each description below.a. parallel to the top of a windowSample: bottom of the windowb. skew with one side of the doorSample: top of the chalkboardc. parallel to the plane of the floorSample: plane of the ceiling14. Reasoning Your friend says that the sides of a ladder and the rungs of aladder are skew. Is this true? Explain.No; the rungs of a ladder and the sides of a ladder intersect. Skew lines donot intersect.15. Visualization If two planes are parallel, must all lines within those planes beparallel? Explain.Answers may vary. Sample: No; even if the planes are parallel, the lines couldbe skew. It depends upon the direction of the lines.Prentice Hall Gold Geometry Teaching ResourcesCopyright by Pearson Education, Inc., or its affiliates. All Rights Reserved.3BDFH

NameClass3-1DatePractice (continued)Form GLines and AnglesIdentify all pairs of each type of angle in the diagram below right.16. corresponding anglesl1 and l5; l2 and l6; l4 and l8; l3 and l717. same-side interior anglesl2 and l5; l3 and l818. alternate interior anglesl3 and l5; l2 and l819. alternate exterior anglesl1 and l7; l4 and l6as1342tDecide whether the angles are alternate interior angles,same-side interior angles, corresponding angles, oralternate exterior angles.20. /2 and /7 alt. ext. 'q1 24 3r21. /5 and /4same-side int. '23. /6 and /4alt. int. '22. /8 and /3 corr. '5 68 75 67 8b24. /1 and /5 corr. '25. Draw a Diagram Line e intersects trapezoid ABCD. Sketch a diagram thatmeets the following conditions.* )* )a. AB and DC are parallel. Answers may vary. Sample:1AB2b. /1 and /6 are alternate exterior angles.3 5D 4 6c. /2 and /3 are same-side interior angles.d. /4 and /5 are each supplementary to /3.Ce26. Writing Describe three real-world objects that represent two linesintersected by a transversal. Answers may vary. Samples: The sides of window panesare parallel lines intersected by the transversal of the center strip. Train track tiesare transversals intersecting the parallel rails. In a bridge framework, the crosspiecesintersect parallel and non-parallel lines.27. The map at the right shows the intersectionLibraryof Maple Street and Oak Street by MainStreet. Name the angle pairs representedby the locations listed below.MapleSt.Schoolc. library and post office alternate exteriorTown hallOak St.ParkPost officed. school and gas station alternate interiorPrentice Hall Gold Geometry Teaching ResourcesCopyright by Pearson Education, Inc., or its affiliates. All Rights Reserved.4Main St.Storea. town hall and gas station same-side interiorb. school and library correspondingGas station

3 Name Class Date 3-1 Practice Form G Lines and Angles Use the diagram to name each of the following. 1. a pair of parallel planes 2. all lines that are parallel to * RV) 3. four lines that are skew to * WX) 4. all lines that are parallel to plane QUVR 5