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6 th Grade Math Homework Chapter 7.10 Page 367-368 #6-14 & SR ANSWERS
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6 th Grade Math Homework Chapter 7.11 Page 371-372 #1-8 & Spiral Review
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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)
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7-11 Symmetry Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day
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Warm Up True or false? 1. In a reflection the original figure is flipped over a line of symmetry. 2. In a translation the original figure slides along a straight line and is flipped. 3. In a rotation a figure is moved around a point. true false true Course 1 7-11 Symmetry
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Problem of the Day Name four plane figures that can be rotated 180° around a center point and look the same after the rotation as they did before. Possible answer: rectangle, square, parallelogram, regular hexagon Course 1 7-11 Symmetry
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Today’s Learning Goal Assignment Learn to identify line symmetry. Course 1 7-11 Symmetry
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Vocabulary line symmetry line of symmetry Insert Lesson Title Here Course 1 7-11 Symmetry
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A figure has line symmetry if it can be folded or reflected so that the two parts of the figure match, or are congruent. The line of reflection is called the line of symmetry. Course 1 7-11 Symmetry
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Additional Example 1A: Identifying Lines of Symmetry Determine whether each dashed line appears to be a line of symmetry. A. The two parts of the figure appear to match exactly when folded or reflected across the line. The line appears to be a line of symmetry. Course 1 7-11 Symmetry
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Additional Example 1B: Identifying Lines of Symmetry Determine whether each dashed line appears to be a line of symmetry. B. The two parts of the figure do not appear congruent. The line does not appear to be a line of symmetry. Course 1 7-11 Symmetry
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Try This: Example 1A Determine whether each dashed line appears to be a line of symmetry. A. The two parts of the figure do not appear congruent. The line does not appear to be a line of symmetry. Course 1 7-11 Symmetry
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Try This: Example 1B Determine whether each dashed line appears to be a line of symmetry. B. The two parts of the figure appear to match exactly when folded or reflected across the line. The line appears to be a line of symmetry. Course 1 7-11 Symmetry
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Some figures have more than one line of symmetry. Course 1 7-11 Symmetry
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Additional Example 2A: Finding Multiple Lines of Symmetry Find all of the lines of symmetry in the regular polygon. A. Trace the figure and cut it out. Fold the figure in half in different ways. Count the lines of symmetry. 5 lines of symmetry Course 1 7-11 Symmetry
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Additional Example 2B: Finding Multiple Lines of Symmetry Find all of the lines of symmetry in the regular polygon. B. Count the lines of symmetry. 8 lines of symmetry Course 1 7-11 Symmetry
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Additional Example 2C: Finding Multiple Lines of Symmetry Find all of the lines of symmetry in the regular polygon. C. Count the lines of symmetry. 4 lines of symmetry Course 1 7-11 Symmetry
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Try This: Example 2A Find all of the lines of symmetry in the regular polygon. A. 1 line of symmetry Count the lines of symmetry. Course 1 7-11 Symmetry
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Try This: Example 2B Find all of the lines of symmetry in the regular polygon. B. Count the lines of symmetry. 4 lines of symmetry Course 1 7-11 Symmetry
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Try This: Example 2C Find all of the lines of symmetry in the regular polygon. C. Count the lines of symmetry. 4 lines of symmetry Course 1 7-11 Symmetry
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Additional Example 3A: Social Studies Application Find all of the lines of symmetry in the flag. A. Alaska There are no lines of symmetry. Course 1 7-11 Symmetry
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Additional Example 3B: Social Studies Application Find all of the lines of symmetry in the flag. B. Arizona 1 line of symmetry Course 1 7-11 Symmetry
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Additional Example 3C: Social Studies Application Find all of the lines of symmetry in the flag. C. Colorado 1 line of symmetry Course 1 7-11 Symmetry
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Additional Example 3D: Social Studies Application Find all of the lines of symmetry in the flag. D. New Mexico 2 lines of symmetry Course 1 7-11 Symmetry
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Try This: Example 3A 2 lines of symmetry Course 1 7-11 Symmetry Find all of the lines of symmetry in each design.
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There are no lines of symmetry. Course 1 7-11 Symmetry Try This: Example 3B Find all of the lines of symmetry in each design.
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1 line of symmetry Course 1 7-11 Symmetry Try This: Example 3C Find all of the lines of symmetry in each design.
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2 lines of symmetry Course 1 7-11 Symmetry Try This: Example 3D Find all of the lines of symmetry in each design.
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Lesson Quiz Does the described figure have line symmetry? 1. right isosceles triangle 2. rectangle Do the following capital letters of the alphabet have symmetry? If so, is the line of symmetry horizontal or vertical? 3. H4. R yes Insert Lesson Title Here yes, vertical and horizontalno Course 1 7-11 Symmetry
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