Name_________________________________________________________ 3.1 Date __________ Name_________________________________________________________ 3.2 Extra Practice Date __________ Extra Practice In Exercises 1–4 , find m∠1 and m∠2. Tell which theorem you use in each case. In Exercises 1–4 , consider the lines that contain the segments in the figure and the planes that contain the faces of the figure. Which line(s) or plane(s) contain point B and appear to fit the description? 1. 2. 3. 4. 1. line(s) skew to FG 2. line(s) perpendicular to FG 3. line(s) parallel to FG 4. plane(s) parallel to plane FGH In Exercises 5 –8 , use the diagram. 5. Name a pair of parallel lines. 6. Name a pair of perpendicular lines. 7. Is WX QR ? Explain. 8. Is ST ⊥ NV ? Explain. In Exercises 5 and 6, find the value of x. Show your steps. 5. In Exercises 9 –12, identify all pairs of angles of the given type. 6. 9. corresponding 10. alternate interior 11. alternate exterior 7. Prove that if ∠1 ≅ ∠2, then ∠2 ≅ ∠3. What is m∠1? Explain. 12. consecutive interior 13. How many pairs of consecutive interior angles do you have when two coplanar lines are intersected by a transversal? How many pairs of consecutive interior angles do you have when three coplanar lines are intersected by a transversal? How many pairs of consecutive interior angles do you have when n coplanar lines are intersected by a transversal? Copyright © Big Ideas Learning, LLC All rights reserved. Geometry Practice Workbook and Test Prep 37 Copyright © Big Ideas Learning, LLC All rights reserved. Geometry Practice Workbook and Test Prep 39 Name_________________________________________________________ 3.3 Date __________ 3.4 Extra Practice 1. In Exercises 3 –6, decide whether there is enough information to prove that m || n. If so, state the theorem you can use. 4. 5. 6. Extra Practice In Exercises 1 and 2, find the distance from point A to BC. 2. 3. Date __________ In Exercises 1 and 2, find the value of x that makes m || n. Explain your reasoning. 1. Name_________________________________________________________ 2. In Exercises 3 –6 , determine which lines, if any, must be parallel. Explain your reasoning. 3. 4. 5. 6. 7. Your friend claims that there is only one line that can be drawn perpendicular to PQ. Is your friend correct? Explain your reasoning. 7. The angles formed between the braces and the wings of a biplane are shown in the figure. Are the top and bottom wings of a biplane parallel? Explain your reasoning. Copyright © Big Ideas Learning, LLC All rights reserved. Geometry Practice Workbook and Test Prep 8. Determine which lines must be parallel. Explain your reasoning. 41 Copyright © Big Ideas Learning, LLC All rights reserved. Geometry Practice Workbook and Test Prep 43