13.1 Lines, Rays, and Angles
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1 ? Name Geometry and Measurement Lines, Rays, and ngles Essential Question How can you identify and draw points, lines, line segments, rays, and angles? MHEMIL PROEE 4.1., 4.1.E Unlock the Problem Everyday things can model geometric figures. For example, the period at the end of this sentence models a point. solid painted stripe in the middle of a straight road models a line. erm and efinition raw It Read It rite It Example point is an exact location in space. point point line is a straight path of points that continues without end in both directions. line line line segment is part of a line between two endpoints. E line segment E line segment E E E Houghton Mifflin Harcourt Publishing ompany Image redits: (c) Photo 24/Getty Images: (b) pm/lamy ray is a part of a line that has one endpoint and continues without end in one direction. ctivity 1 raw and label JK. Is there another way to name JK? Explain. F G ray FG FG Math alk Mathematical Processes Explain how lines, line segments, and rays are related. Module
2 ngles erm and efinition raw It Read It rite It Example n angle is formed by two rays or line segments that have the same endpoint. he shared endpoint is called the vertex. P angle PQR angle RQP angle Q PQR RQP Q Q R ou can name an angle by the vertex. hen you name an angle using 3 points, the vertex is always the point in the middle. ngles are classified by the size of the opening between the rays. right angle forms a square corner. straight angle forms a line. n acute angle is less than a right angle. n obtuse angle is greater than a right angle and less than a straight angle. ctivity 2 lassify an angle. Materials paper o classify an angle, you can compare it to a right angle. Make a right angle by using a sheet of paper. Fold the paper twice evenly to model a right angle. Use the right angle to classify the angles below. rite acute, obtuse, right, or straight. a. b. c. d. 450 Houghton Mifflin Harcourt Publishing ompany
3 Name hare and how 1. raw and label in the space at the right. is a. raw and label an example of the figure obtuse K 4. right E Use Figure M for 5 and Name a line segment. 6. Name a right angle. U V Figure M Problem olving Use the picture of the bridge for 7 and lassify. 8. hich angle appears to be obtuse? 9. Use iagrams How many different angles are in Figure? List them. E F Houghton Mifflin Harcourt Publishing ompany Image redits: 10. Multi-tep hat s the Error? Vanessa drew the angle at the right and named it R. Explain why Vanessa s name for the angle is incorrect. rite a correct name for the angle. Figure Module 13 Lesson R
4 aily ssessment ask Mathematical Processes Fill in the bubble completely to show your answer. 11. hat type of angle is? acute right obtuse straight 12. hich names a straight angle in the figure below? 13. Multi-tep hat is the total number of acute angles in the figures shown below? Z E est Prep 14. hich of the following terms best describes the figure below? ray line line segment angle 452 Houghton Mifflin Harcourt Publishing ompany
5 Homework and Practice Name Geometry and Measurement 4.6. MHEMIL PROEE 4.1., 4.1.E 13.1 Lines, Rays, and ngles raw and label an example of the figure acute J 3. right 4. JK 5. obtuse Z 6. PQ Use figure for 7 and Name an acute angle. 8. Name an obtuse angle. Problem olving Use the bridge drawing for 9 and lassify Figure Houghton Mifflin Harcourt Publishing ompany 10. Jenny thinks that is a right angle. Explain why Jenny s name for the angle is incorrect. rite a correct name for the angle. Module 13 Lesson 1 453
6 Lesson heck E est Prep Fill in the bubble completely to show your answer. 11. hat type of angle is Z? 12. hich names an obtuse angle in the figure below? Z Z right acute Z straight Z obtuse Z Z 13. hich names an acute angle in the figure to the right? U 14. hich of the following terms best describes the figure below? VU VU U U V Figure M angle line segment ray line 15. Multi-tep hat is the total number of rays in the figures to the right? Multi-tep How many right angles are in Figure? E Figure F Houghton Mifflin Harcourt Publishing ompany
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