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Transversal

Geometry TN 2018 2019 Curriculum Map Q1

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Geometry
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Curriculum and Instruction ? Mathematics Quarter 1 Geometry Mathematics Geometry: Year at a Glance 2018 - 2019 Aug. 6 ? Oct. 5 Oct. 16 - Dec. 19 Jan. 7 ? Mar. 8 Mar. 18 ? May 24 TN Ready Testing Apr. 22 - May23 Tools of Geometry, Reasoning and Proof, Transformations and Congruence, Transformations and Symmetry, Lines and Angles Triangle Congruence with Applications, Properties of Triangles, Special Segments in Triangles, Properties of Quadrilaterals with Coordinate Proofs Similarity and Transformations, Using Similar Triangles, Trigonometry with Right Triangles, Trigonometry with All

Geometry for Enjoyment and Challenge Notes 5.3

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Transversal
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Geometry for Enjoyment and Challenge chapter 5 section 3
Congruent Angles in Parallel Lines Alternate interior angles congruent -> Parallel lines yields alternate interior angles congruent Alternate exterior angles congruent -> Parallel lines yields alternate exterior angles congruent Corresponding angles -> Parallel lines yields corresponding angles congruent Consecutive interior angles supplementary -> Parallel lines yields consecutive interior supplementary Consecutive exterior angles supplementary -> Parallel lines yields consecutive exterior supplementary Ex. 1 ________________/__________________ Solve for X / 3x + 5 / / 2x + 10 / _____________/_____________________ Answer: 3x+5=2x+10 => x=5

Geometry for Enjoyment and Challenge Notes 5.3

Subject: 
Geometry
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Geometry
Elementary geometry
Transversal
Angle
Congruence
Parallel
Technology
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Geometry for Enjoyment and Challenge chapter 5 section 3
Congruent Angles in Parallel Lines Alternate interior angles congruent -> Parallel lines yields alternate interior angles congruent Alternate exterior angles congruent -> Parallel lines yields alternate exterior angles congruent Corresponding angles -> Parallel lines yields corresponding angles congruent Consecutive interior angles supplementary -> Parallel lines yields consecutive interior supplementary Consecutive exterior angles supplementary -> Parallel lines yields consecutive exterior supplementary Ex. 1 ________________/__________________ Solve for X / 3x + 5 / / 2x + 10 / _____________/_____________________ Answer: 3x+5=2x+10 => x=5

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Theorem Hypothesis Conclusion Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. 4 3 1 2 1 ? 8 7 6 5 P Q ?1 ? ?3 ?2 ? ?4 ?5 ? ?7 ?6 ? ?8 Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. 22 1 4 3 ?1 ? ?3 ?2 ? ?4 Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then the two pairs of alternate exterior angles are congruent. 5 6 8 7 ?5 ? ?7 ?6 ? ?8 Same-Side Interior Angles Theorem If two parallel lines are cut by a transversal, then the two pairs of same side interior angles are supplementary. 4 1 2 3
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