Critical Thinking: Utilize geometric and algebraic reasoning to analyze and solve problems involving parallel and perpendicular lines.
Communication: Effectively articulate the process of identifying parallel and perpendicular lines through both geometric and algebraic methods.
Adaptive Perseverance: Approach complex problems involving parallel and perpendicular lines with determination, adapting strategies as needed to find solutions.
How do the properties of angles formed by parallel lines and a transversal help in identifying parallel lines?
What are the algebraic criteria for determining equations of lines that are parallel or perpendicular?
How can we apply our understanding of angles and equations to analyze geometric figures and solve problems in real-world contexts?
Students are able to convert quantitative problems that use words into mathematical expressions.
CCSS.MATH.CONTENT.8.G.A.5: Establish facts about the angle sum and exterior angle of triangles, and about the angles created when parallel lines are cut by a transversal.
CCSS.MATH.CONTENT.HSG.CO.C.9: Prove theorems about lines and angles, including criteria for parallel lines.
CCSS.MATH.CONTENT.HSG.GPE.B.5: Prove and use the slope criteria for parallel and perpendicular lines in geometric problems.
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