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Introduction to Geometry: Points, Lines, and Planes

Use the figure to name each of the following. Name a point with a capital letter. H, I, J, and K. HO. Name a segment by its endpoints. , HJ. , KI. , and OI. , OK. , and. OI. Horizontal line KI has several names. IK. , KO. , IO. HO. The first letter names the endpoint.

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Introduction to Geometry: Points, Lines, and Planes

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  1. Use the figure to name each of the following. Name a point with a capital letter. H, I, J, and K HO Name a segment by its endpoints. , HJ , KI , and OI , OK , and OI Horizontal line KI has several names. IK , KO , IO HO The first letter names the endpoint. , OJ , KI , OK , and JH Introduction to Geometry: Points, Lines, and Planes PRE-ALGEBRA LESSON 9-1 Quick Check a. four points b. four different segments c. five other names for KI d. five different rays 9-1

  2. MP, OP, QT, ST MQ, NR, OS MN, NO, QR, RS Introduction to Geometry: Points, Lines, and Planes PRE-ALGEBRA LESSON 9-1 You are looking directly down into a wooden crate. Name each of the following. a. four segments that intersectPT b. three segments parallel to PT c. four segments skew to PT Quick Check 9-1

  3. First draw two lines that intersect. Then draw a segment that is parallel to one of the lines. Introduction to Geometry: Points, Lines, and Planes PRE-ALGEBRA LESSON 9-1 Draw two intersecting lines. Then draw a segment that is parallel to one of the intersecting lines. Use the lines on notebook or graph paper. Quick Check 9-1

  4. EQ AQ, AE, GR EF, DC, AB AB, AD, EF, EH AB, AD, EF, EH Introduction to Geometry: Points, Lines, and Planes PRE-ALGEBRA LESSON 9-1 Use the figure. Name each of the following. 1. four points 2. another name for EA 3. three different rays 4. three segments that are parallel to HG 5. four segments that are skew to CG 6. four segments that intersect AE A, B, C, D 9-1

  5. Angle Relationships and Parallel Lines PRE-ALGEBRA LESSON 9-2 The Jackson County Bird Sanctuary has three times as many owls as hawks. It has 40 hawks and owls in all. How many of each are in the sanctuary? 30 owls, 10 hawks 9-2

  6. Angle Relationships and Parallel Lines PRE-ALGEBRA LESSON 9-2 (For help, go to Lesson 7-5.) Solve. 1.n + 45 = 180 2. 75 + x = 90 3. 3y = 2y + 90 4. 2a + 15 = a + 45 Check Skills You’ll Need 9-2

  7. Angle Relationships and Parallel Lines PRE-ALGEBRA LESSON 9-2 Solutions 1.n + 45 = 180 2. 75 + x = 90 n + 45 – 45 = 180 – 45 75 – 75 + x = 90 – 75 n = 135 x = 15 3. 3y = 2y + 90 4. 2a + 15 = a + 45 3y – 2y = 2y – 2y + 90 2a – a + 15 = a – a + 45 y = 90 a + 15 = 45 a + 15 – 15 = 45 – 15 a = 30 9-2

  8. m 3 + m 4 = 180° 3 and 4 are supplementary. m 3 + 110° = 180° Replace m 4 with 110°. m 3 + 110° – 110° = 180° – 110° Solve for m 3. m 3 = 70° Angle Relationships and Parallel Lines PRE-ALGEBRA LESSON 9-2 Find the measure of 3 if m 4 = 110°. Quick Check 9-2

  9. 1 3, 2 4, 5 7, 6 8 2 7, 6 3 Angle Relationships and Parallel Lines PRE-ALGEBRA LESSON 9-2 In the diagram, p || q. Identify each of the following. a. congruent corresponding angles b. congruent alternate interior angles Quick Check 9-2

  10. In the diagram, d e. 1. Find the m 5 if m 8 is 35°. 2. Name the congruent corresponding angles. 3. Name the congruent alternate interior angles. 1 5, 2 6, 4 8, 3 7 4 7, 2 5 Angle Relationships and Parallel Lines PRE-ALGEBRA LESSON 9-2 145° 9-2

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