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Ch 7 Learning Goal: PLANE GEOMETRY • • • • • • • • • • • • Learn to describe the figures by using the terms of geometry (7-1) Learn to name, measure, classify, estimate and draw angles (7-2) Learn to understand relationship of angles (7-3) Learn to classify the different types of lines (7-4) Learn to classify triangles and solve problems involving angle and side measures of triangles (7-5) Learn to identify, classify, and compare quadrilaterals (7-6) Learn to identify regular and not regular polygons and to find the angle measures of regular polygons (7-7) Learn to recognize, describe, and extend geometric patterns (7-8) Learn to identify congruent figures and to use congruence to solve problems (7-9) Learn to use translations, reflections, and rotations to transform geometric shapes (7-10) Learn to identify line symmetry (7-11) Learn to identify tessellations and shapes that can tessellate (7-12) Page 334 #1-8 Answers th 6 Grade Math Homework Ch. 7-4 Page 338 #7-19 Mid-Chapter Chop Chop Quiz Tomorrow!! (7-1 to 7-4) 7-4 Classifying Lines Warm Up Problem of the Day Lesson Presentation Course 1 7-4 Classifying Lines Warm Up Give the complement and supplement of each angle. 1. 80° 10°, 100° 2. 64° 26°, 116° 3. 15° 75°, 165° 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 Course 1 7-4 Classifying Lines Today’s Learning Goal Assignment Learn to classify the different types of lines. Course 1 7-4 Classifying Insert Lesson Title Here Lines Vocabulary parallel lines perpendicular lines skew lines Course 1 7-4 Classifying Lines Intersecting lines are lines that cross at one common point. W Y Z X Line YZ intersects line WX. YZ intersects WX. B Parallel lines are lines in the same plane that never intersect. A L AB M Course 1 Line AB is parallel to line ML. ML. 7-4 Classifying Lines Perpendicular lines intersect to form 90° angles, T or right angles. R U S 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. Course 1 M L B A Line AB and line ML are skew. AB and ML are skew. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. Course 1 7-4 Classifying Insert Lesson Lines 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 parallel 4. AD and CF skew 5. AB and BG perpendicular Course 1