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Understanding Perpendiculars and Distance in Honors Geometry

This section explores key concepts in geometry, focusing on perpendicular lines, distances, and properties of parallel lines. In this warm-up, students are tasked with applying their knowledge to determine vertical rise based on slope, identifying multiple methods to show lines are parallel, and analyzing the relationship between equidistant lines. Additionally, a proof challenge involving angles illustrates the relationships within geometric configurations. Ideal for students looking to enhance their understanding of geometry concepts in preparation for advanced studies.

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Understanding Perpendiculars and Distance in Honors Geometry

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  1. Perpendiculars and Distance II Honors Geometry Chapter 3, Section 6

  2. Warm-Up: You may use your text • If the slope of a hill is 4/3, how far will I have risen after moving 6 feet to the right horizontally? • List 5 ways to prove lines are parallel • In a plane, if two lines are equidistant from the same line, how are they related to each other?

  3. Find the distance between these lines.

  4. Proof • Given: l ll j & j ll k • Prove: angle 1 and 4 are supplementary

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