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Identify and use special pairs of angles.
Identify perpendicular lines. Splash Screen
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Mathematical Practices 2 Reason abstractly and quantitatively.
Content Standards Preparation for G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles. Mathematical Practices 2 Reason abstractly and quantitatively. 3 Construct viable arguments and critique the reasoning of others. CCSS
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adjacent angles linear pair vertical angles complementary angles
supplementary angles perpendicular Vocabulary
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Concept
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Identify Angle Pairs A. ROADWAYS Name an angle pair that satisfies the condition two angles that form a linear pair. A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays. B. ROADWAYS Name an angle pair that satisfies the condition two acute vertical angles. Example 1
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A. Name two adjacent angles whose sum is less than 90.
B. Name two acute vertical angles. Example 1a
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Concept
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Angle Measure ALGEBRA Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the measure of the other angle. ALGEBRA Find the measures of two complementary angles if one angle measures six degrees less than five times the measure of the other. Example 2
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Concept
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ALGEBRA Find x and y so that KO and HM are perpendicular.
Perpendicular Lines ALGEBRA Find x and y so that KO and HM are perpendicular. Example 3
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Example 3
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Concept
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Concept
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Determine whether the following statement can
Interpret Figures Determine whether the following statement can be justified from the figure below. Explain. A. mVYT = 90 B. TYW and TYU are supplementary. C. VYW and TYS are adjacent angles. Example 4
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A. Determine whether the statement mXAY = 90 can be assumed from the figure.
B. Determine whether the statement TAU is complementary to UAY can be assumed from the figure. Example 4a
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Homework Page 51 (8-17, 19-26, 29) CCSS
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