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Lines, Angles and Triangles
Opening routine
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Topic II: Lines, Angles and Triangles
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines Objective: Prove theorems about lines and angles; use theorems about lines and angles to solve problems. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent. Essential Question: How do you use parallel lines and transversals to determine angle relationships?
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines Vocabulary Parallel lines: Are two lines that lie in the same plane and are always the same distance apart and never touch. Skew lines: Are two lines that do not intersect and are not parallel, because they are in different planes. Transversal line: Is a line that passes through two lines in the same plane at two distinct points. Interior angles: Are the four angles formed inside parallel lines by a third line that intersects them.
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines Vocabulary Exterior angles: Are the four angles formed outside parallel lines by a third line that intersects them. Consecutive interior angles: When two parallel lines are intercepted by a transversal, the pair of angles inside the parallel lines on the same side of the transversal. Alternate interior angles: When two parallel lines are intercepted by a transversal, the pair of angles inside the parallel lines on opposite sides of the transversal.
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines Vocabulary Alternate exterior angles: When two parallel lines are intercepted by a transversal, the pair of angles outside the parallel lines on opposite sides of the transversal. Corresponding angles: When two parallel lines are intercepted by a transversal, the pair of angles that are formed in the same position, in terms of the transversal.
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal line
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines
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Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines
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Transformations and Congruence
Angles formed by interception of parallel and transversal lines YOU DO - Independent Practice Worksheet Pages 1 and 2
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Transformations and Congruence
Angles formed by interception of parallel and transversal lines Homework Worksheet Pages 1 and 2
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Transformations and Congruence
Angles formed by interception of parallel and transversal lines Closure Essential Question: How do you use parallel lines and transversals to determine angle relationships?
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