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Exploring Theorems of Parallel and Perpendicular Lines Through Proofs

This interactive activity allows students to engage with theorems related to parallel lines cut by a transversal, emphasizing the properties of parallel and perpendicular lines. Students will construct two-column proofs based on given angles and relationships, building a strong foundation in geometric reasoning. Access the activity by clicking the provided link to enhance understanding and application of key geometric theorems. Ideal for reinforcing concepts in geometry coursework, particularly focusing on angle relationships and their implications on line orientations.

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Exploring Theorems of Parallel and Perpendicular Lines Through Proofs

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  1. Ch 3.3Standard 7.0:Students prove and use theorems involving the properties of parallel lines cut by a transversal Objective: To relate parallel & perpendicular lines.

  2. HYPOTHESIS CONCLUSION Theorems

  3. Activity Please click on the following link (or copy & paste into your browser) to access an interactive activity pertaining to parallel & perpendicular lines. http://glencoe.com/sites/common_assets/mathematics/geom_2010/math_in_motion/chapter_openers/GM_10_CO_03/course_player.html

  4. Example 1 Write a two-column proof. Given: r || s, 1  2 Prove: rt 1. Given 1.r || s, 1  2 2. Corr. s Post. 2.2  3 3.1  3 3. Trans. Prop. of  4. 2 intersecting lines form lin. pair of  s  lines . 4.rt

  5. Given: Prove: 2. 3. 4. Example 2 Write a two-column proof. 1.EHF HFG 1. Given 2. Conv. of Alt. Int. Angles Thm 3. Given 4.Perpendicular Transversal Theorem

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