Parallel Lines and Perpendicular Lines. How can you identify and draw parallel lines and perpendicular lines?

Transcription

1 ? Name 13.3 Essential uestion Parallel Lines and Perpendicular Lines How can you identify and draw parallel lines and perpendicular lines? Geometry and Measurement 4.6. MTHEMTIL POESSES 4.1., 4.1.E Unlock the Problem ou can find models of lines in the world around you. For example, two streets that cross each other model intersecting lines. Metal rails on a train track that never cross model parallel lines. Term and efinition raw It ead It Write It Intersecting lines are lines in a plane that cross at exactly one point. Intersecting lines form four angles. H I Line HI intersects line at point. HI and intersect at point Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. F E G Line E is parallel to line FG. E FG The symbol means is parallel to. Perpendicular lines are lines in a plane that intersect to form four right angles. N Line LM is perpendicular to line NO. LM NO The symbol means is perpendicular to. L O M Math Talk Mathematical Processes an two rays be parallel? Explain. Houghton Mifflin Harcourt Publishing ompany Image redits: Try This! Tell how the streets appear to be related. Write perpendicular, parallel, or intersecting. W 36th St and roadway W 35th St and 7th ve W 37th St and W 36th St W 37th St W 36th St W 35th St 7th ve roadway Module

2 ctivity raw and label Materials straightedge STEP 1: raw and label. STEP 2: Then draw and label Z. Z intersecting at point. How can you check if two rays are perpendicular? Hands On STEP 3: Make sure and Z intersect at point. STEP 4: Make sure the rays are perpendicular. Share and Show 1. raw and label ST. Think: Parallel lines never intersect. Parallel line segments are parts of parallel lines. Math Talk Mathematical Processes Explain how the symbols and help you remember which relationships they describe. Use the figure for 2 and Name two sides that appear to be parallel. 3. Name two sides that appear to be perpendicular. F Problem Solving Use the figure for Multi-Step What s the Error? an says that HL is parallel to IM. Is an correct? Explain. 462 G H I L M Houghton Mifflin Harcourt Publishing ompany

3 Name Problem Solving Use the house plan at the right for What geometric term describes a corner of the living room? itchen Living oom Master edroom 6. Use iagrams Name three parts of the plan that show line segments. ining oom Family oom athroom edroom 7. Name a pair of line segments that appear to be parallel. Write Math Show our Work Use the map at the right for Name a street that appears to be parallel to S 17th Street. hestnut St ustin St S 18th St S 19th St S 20th St Vernon St S 17th St Perry St Houghton Mifflin Harcourt Publishing ompany Image redits: 9. Name a street that appears to be parallel to Vernon Street. 10. Name a street that appears to be perpendicular to S 19th Street. Module 13 Lesson 3 463

4 aily ssessment Task Mathematical Processes Fill in the bubble completely to show your answer. 11. Which pair of lines appear to be parallel? and and 12. Which figure appears to show? Z and Z Z and 13. Multi-Step The map below shows some of the streets in Matt s town. Which streets appear to be parallel to State Street? hestnut St ustin St State Street S 19th St hestnut St and ustin St Perry St and ustin St S 17th St S 18th St 17th St, 18th St, and 19th St Perry St and 17th St Perry St TES Test Prep 14. Which best describes perpendicular lines? They never meet. They form one acute angle. They form four right angles. They form one obtuse angle. 464 Houghton Mifflin Harcourt Publishing ompany

5 Homework and Practice Name Geometry and Measurement 4.6. MTHEMTIL POESSES 4.1., 4.1.E 13.3 Parallel Lines and Perpendicular Lines Use the figure for Name two lines that appear to be parallel. 2. Name two lines that appear to be perpendicular. S 3. Name two lines that intersect but do not appear to be perpendicular. T Z Problem Solving 4. onnie says that Main St. appears to be parallel to Elm St. Is onnie correct? Explain. W 3rd St W 2nd St W 4th St Main St. Elm St 5. aniel says that Main St. and 3rd Street appear to be perpendicular. Is aniel correct? Explain. Houghton Mifflin Harcourt Publishing ompany Module 13 Lesson 3 465

6 Lesson heck TES Test Prep Fill in the bubble completely to show your answer. 6. Which pair of lines appear to be perpendicular? 7. Which figure appears to show parallel lines? M T L H G and LM LM and T LM and GH T and GH 8. Which best describes parallel lines? They never meet. They intersect at one point. They form one acute angle. They form one obtuse angle. 9. Which does NOT describe intersecting lines? They cross at exactly one point. They form four angles. They are the same distance apart. They may form a right angle. 10. Multi-Step The map shows some of the streets in iana s town. Which streets appear to be perpendicular to S 19th St? ustin St and State St hestnut St and Perry St State St and S 18th St hestnut St ustin St State Street S 19th St S 17th St and S 18th St S 18th St S 17th St 11. Multi-Step Which streets appear to be parallel to S 17th St? Perry St 466 State St and hestnut St S 18th St and S 19 St Perry St and ustin St S 19 St and Perry St Houghton Mifflin Harcourt Publishing ompany