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Parallel and Perpendicular Lines
Tool Box Corresponding Angles Postulate (CAP) Alternate Interior Angle Theorem (AIA) Alternate Exterior Angle Theorem (AEA) Same-Side Interior Angles Theorem (SSI) Supplementary Angles Complementary Angles Vertical Angles Transitive Property
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1. Find the missing angle measurement and justify your answer using the tool box.
Justification (Use the tool box) = _____
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2. Find the missing angle measurement and justify your answer using the tool box.
Find x Justification (Use the tool box) x = _____
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3. Use the diagram of a staircase railing to answer the following:
135º Q R S 45º Which is a true statement about the measure of angle QRS? A) It equals 45º by the Same Side Interior Angles Theorem B) It equals 135º by the Alternate Interior Angles Theorem C) It equals 45º by the Corresponding Angles Postulate D) It equals 135º by the Alternate Exterior Angle Theorem
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4. Find the value of x and measure of angle DEF.
= _______________
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5. Prove the Alternate Interior Angles Theorem is true by proving that
Given: Statement / Conclusion Justification (use the tool box)
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