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Chapter 2 Review Proving Theorems about Angles
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Definitions/Postulates/Theorems Adjacent Angles Linear Pair Complementary Angles Supplementary Angles
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Proving Theorems about Angles Definitions/Postulates/Theorems Angle Bisector
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Proving Theorems about Angles Definitions/Postulates/Theorems Supplementary Angles Theorem Complementary Angles Theorem Linear Pair Postulate (with diagram) Overlapping Angles Theorem (with diagram) Vertical Angles Theorem (with diagram)
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Proving Theorems about Angles Definitions/Postulates/Theorems Right Angle Congruence Theorem Angle Addition Postulate (with diagram)
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Complete the statement given that m EHC = m DHB = m AHB = 90°.
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FIRST write the equation you would use to solve, and then solve for each variable.
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Complementary & Supplementary Angles 1. Two angles are complementary. The measure of one angle is 30 degrees more than the measure of the other. Find the measure of each angle.
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Complementary & Supplementary Angles 2. The measure of an angle is four times the measure of its complement. Find the measure of the angle.
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Complementary & Supplementary Angles 3. The measure of an angle is three times one-half of its complement. Find the measures of the angles.
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Complementary & Supplementary Angles 4. Two angles are supplementary. The measure of one angle is six degrees less than the measure of the other. Find the measure of each angle.
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Complementary & Supplementary Angles 5. The measure of an angle is four less than the measure of its complement. Find the measure of the angle.
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Proof One Copy all and fill in missing reasons. 1. QVW and RWV are supplementary. 1. 2. QVP and QVW are a linear pair. 2. 3. QVP and QVW are supplementary. 3. 4. QVP ≅ RWV 4.
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Proof Two Copy Given, Prove, Diagram with labels and do the proof.
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Proof Three Copy Given, Prove, Diagram with labels and do the proof.
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Proof Four Copy Given, Prove, Diagram with labels and do the proof.
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Proof Five Copy Given, Prove, Diagram with labels and do the proof. 1. m 1 = m 41. 2.m 2 = m 32. 3.m 1 + m 2 = m 3 + m 43. 4.m 1 + m 2 = m AMC4. 5.m 3 + m 4 =m GNE5. 6.m AMC = m GNE6.
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Proof Six Copy Given, Prove, Diagram with labels and do the proof.
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Proof Seven Copy Given, Prove, Diagram with labels and do the proof. 1.OB bisects AOC.1. 2. 1 ≅ 22. 3.m 1 = m 23. 4.m 2 + m 3 = m BOD4. 5.m 1 + m 3 = m BOD5.
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Proof Eight Copy Given, Prove, Diagram with labels and do the proof. Given: AOB ≅ COD Prove: AOC ≅ BOD 1. AOB ≅ COD1. 2. BOC BOC2. 3. AOC BOD3.
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Proof Nine Copy Given, Prove, Diagram with labels and do the proof. Given: BQP ≅ AQT Prove: BQA ≅ PQT
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