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Transcript
Unit: Parallel and Perpendicular Lines Page 1 of 3 Key Learning: Course: Geometry Parallel and perpendicular lines and planes have proven properties based upon their slopes. Properties of Parallel Lines Proving Lines Parallel Parallel and Perpendicular Lines How do we identify angles formed by two lines and a transversal? How do we use angles formed by two lines and a transversal to prove the two lines are parallel? Describe the relationship that exists between parallel and perpendicular lines. Vocabulary Lesson Essential Questions Anchors Concept Unit Essential Question: What relationships exist between the angles formed by parallel lines and a transversal? How do we prove and use the properties of parallel lines? How do we write a flow proof? How do we write a twocolumn proof? Transversal Alternate interior angles Same-side interior angles Corresponding angles Two-column proof Alternate exterior angles Same-side exterior angles Corresponding angles postulate Alternate interior angles theorem Same-side interior angles theorem Flow proof Converse of corresponding angles postulate Converse of alternate interior angles postulate Converse of same-side interior angles postulate Converse of alternate exterior angles theorem Converse of same-side exterior angles theorem How do we use the relationship between parallel and perpendicular lines to model and solve problems? Unit: Parallel and Perpendicular Lines Page 2 of 3 Key Learning: Course: Geometry Parallel and perpendicular lines and planes have proven properties based upon their slopes. Unit Essential Question: What relationships exist between the angles formed by parallel lines and a transversal? Concept Parallel Lines and the Triangle Angle-Sum Theorem The Polygon Angle-Sum Theorems Lines in the Coordinate Plane How do we use the Triangle Angle-Sum Theorem to find the measures of angles in triangles? How do we classify and name polygons? How do we graph lines of equations in slope-intercept form? Lesson Essential Questions Anchors How do we classify triangles by their sides? How do we classify triangles by their angles? How do we use the exterior angles of triangles to find measures of interior angles? How do we find the sum of the interior angles of a polygon? How do we graph lines of equations in standard form? How do we use the Polygon How do we transform Exterior Angle-Sum equations between slopeTheorem to find measures intercept and standard forms? of angles? How do we write the equation of a line given slope and yintercept? How do we write the equation of a line given two points? Vocabulary How do we write the equations of horizontal and vertical lines? Acute triangle Right triangle Obtuse triangle Equiangular triangle Equilateral triangle Isosceles triangle Scalene triangle Exterior angle of a polygon Remote interior angles Polygon Convex polygon Concave polygon Equilateral polygon Equiangular polygon Regular polygon Slope-intercept form of a linear equation Standard form of a linear equation Point-slope form of a linear equation Unit: Parallel and Perpendicular Lines Page 3 of 3 Key Learning: Course: Geometry Parallel and perpendicular lines and planes have proven properties based upon their slopes. Slopes of Parallel and Perpendicular Lines Constructing Parallel and Perpendicular Lines How do we use slope to determine if two lines are parallel? How do we construct parallel lines using a compass and a straightedge? How do we write the equation of a line parallel to a given line? How do we construct special quadrilaterals using a compass and a straightedge? How do we use slope to determine if two lines are perpendicular? How do we construct perpendicular lines using a compass and a straightedge? Vocabulary Lesson Essential Questions Anchors Concept Unit Essential Question: What relationships exist between the angles formed by parallel lines and a transversal? How do we write the equation of a line perpendicular to a given line?