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Published byCornelius Randall Modified over 9 years ago
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Opening Activity #1 Turn in your Are You Ready?. #2 Have a pencil out & complete your progress tracker for your Ch. 7 pretest. #3 Go to xtramath.org and complete your program for the day. #4 Work on an early finisher.
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Chapter 7 Lesson 1 Classify Angles Objective: Students will classify angles and identify vertical and adjacent angles.
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Two angles are vertical if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent or have the same measure. 1 2 3 4 Vertical Angles: or
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Two angles are adjacent if they share a common vertex, a common side, and do not overlap. 1 2 3 4 Adjacent Angle Pairs:
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Example 1: Name the angle in four ways. Then classify it as acute, right, obtuse, or straight. R S T 3 Obtuse To name angles, you can use the middle letter and a letter from each side (with the middle letter in the middle), use the middle letter, the vertex, only, or use a number. Remember: An obtuse angle is an angle greater than 90 degrees, an acute angle is an angle less than 90 degrees and a right angle equals 90 degrees.
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Example 2: Name the angle in four ways then classify it as acute, right, obtuse, or straight. A B C 2 Right
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Example 3: Name the angle in four ways. Then classify it as acute, right, obtuse, or straight. L M N 4 straight
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Example 4: Identify a pair of vertical angles and adjacent angles in the diagram. 1 2 3 4 Vertical: Adjacent:
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You can use what you learned about vertical and adjacent angles to find the value of a missing measure: Exampl e 5: The two angles (2x+2) and 130 are vertical angles so they are congruent so (2x+2)=130 2x + 2 = 130 -2 -2 2x = 128 x = 64
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Example 6: What is the value of x in the figure? 3x + 60 = 90 -60 -60 3x = 30 x = 10 The box in the angle indicates that this angle equals 90 degrees.
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Building on the Essential Question: Describe the difference between vertical angles and adjacent angles. Sample Answer: Vertical angles are opposite angles formed by the intersection of two lines. Adjacent angles can be formed by the intersection of two lines but must share a common side and vertex.
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