7-4 Classifying Lines Warm Up Problem of the Day Lesson Presentation Course 1 Warm Up Problem of the Day Lesson Presentation

7-4 Classifying Lines Warm Up Course 1 7-4 Classifying Lines Warm Up Give the complement and supplement of each angle. 1. 80° 2. 64° 3. 15° 10°, 100° 26°, 116° 75°, 165°

7-4 Classifying Lines Problem of the Day Course 1 7-4 Classifying Lines Problem of the Day Draw three points that are not in a straight line. Label them A, B, and C. How many different lines can you draw that contains two of the points? Name the lines. 3; AB, AC, BC

7-4 Classifying Lines Learn to classify the different types of lines. Course 1 7-4 Classifying Lines Learn to classify the different types of lines.

Insert Lesson Title Here Course 1 7-4 Classifying Lines Insert Lesson Title Here Vocabulary parallel lines perpendicular lines skew lines

7-4 Classifying Lines Y W Z X Course 1 7-4 Classifying Lines Y W Z X Intersecting lines are lines that cross at one common point. Line YZ intersects line WX. YZ intersects WX. B A M L Parallel lines are lines in the same plane that never intersect. Line AB is parallel to line ML. AB ML.

7-4 Classifying Lines Writing Math Course 1 7-4 Classifying Lines S R T U Perpendicular lines intersect to form 90° angles, or right angles. Line RS is perpendicular to line TU. RS TU. Writing Math The square inside a right angle shows that the rays of the angle are perpendicular.

Course 1 7-4 Classifying Lines Skew lines are lines that lie in different planes. They are neither parallel nor intersecting. Line AB and line ML are skew. AB and ML are skew. M L A B

Additional Example 1A: Classifying Pairs of Lines Course 1 7-4 Classifying Lines Additional Example 1A: Classifying Pairs of Lines Classify each pair of lines. A. The lines intersect to form right angles. They are perpendicular.

Additional Example 1B: Classifying Pairs of Lines Course 1 7-4 Classifying Lines Additional Example 1B: Classifying Pairs of Lines Classify each pair of lines. B. The lines are in different planes and are not parallel or intersecting. They are skew.

Additional Example 1C: Classifying Pairs of Lines Course 1 7-4 Classifying Lines Additional Example 1C: Classifying Pairs of Lines Classify each pair of lines. C. The lines are in the same plane. They do not appear to intersect. They are parallel.

Additional Example 1D: Classifying Pairs of Lines Course 1 7-4 Classifying Lines Additional Example 1D: Classifying Pairs of Lines Classify each pair of lines. D. The lines cross at one common point. They are intersecting.

7-4 Classifying Lines Try This: Example 1A Course 1 7-4 Classifying Lines Try This: Example 1A Classify each pair of lines. A. The lines are in the same plane. They do not appear to intersect. They are parallel.

7-4 Classifying Lines Try This: Example 1B Course 1 7-4 Classifying Lines Try This: Example 1B Classify each pair of lines. B. The lines intersect to form right angles. They are perpendicular.

Try This: Additional Example 1C Course 1 7-4 Classifying Lines Try This: Additional Example 1C Classify each pair of lines. C. The lines are in different planes and are not parallel or intersecting. They are skew.

Try This: Additional Example 1D Course 1 7-4 Classifying Lines Try This: Additional Example 1D Classify each pair of lines. D. The lines cross at one common point. They are intersecting.

Additional Example 2: Application Course 1 7-4 Classifying Lines Additional Example 2: Application The handrails on an escalator are in the same plane. What type of line relationship do they represent? The handrails are in the same plane and do not intersect. The lines are parallel.

7-4 Classifying Lines Try This: Example 2 Course 1 7-4 Classifying Lines Try This: Example 2 The roads are in the same plane. What type of line relationship do they represent? The lines cross at one common point. The lines are intersecting.

Insert Lesson Title Here Course 1 7-4 Classifying Lines Insert Lesson Title Here Lesson Quiz 1. Sketch a pair of perpendicular lines. 2. Sketch a pair of parallel lines. Use the figure to classify the lines. 3. AD and BC 4. AD and CF 5. AB and BG parallel skew perpendicular