ACT Math

Lesson Plan

Parallel and perpendicular line slopes

Goals / Objectives

Write the equation of the line through a given point parallel or perpendicular to a given line, using equal slopes for parallel and the negative reciprocal for perpendicular

Explain the perpendicular relationship $m_1 m_2 = -1$ from a quarter-turn rotation, state its precondition, and explain why a horizontal and a vertical line are perpendicular although their slope product is not $-1$

Classify a pair of linear equations given in mixed forms as parallel, perpendicular, neither, or the same line written two ways

Use a parallel or perpendicular condition to solve for an unknown coefficient and to find the perpendicular bisector of a segment

Standards

G 606. Use properties of parallel and perpendicular lines to determine an equation of a line or coordinates of a point (Geometry, 28–32) A 406. Exhibit knowledge of slope (Algebra, 20–23) A 514. Determine the slope of a line from an equation (Algebra, 24–27) G 510. Determine the slope of a line from points or a graph (Geometry, 24–27) G 511. Find the midpoint of a line segment (Geometry, 24–27) G 401. Use properties of parallel lines to find the measure of an angle (Geometry, 20–23)

Academic Vocabulary

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Enrichment

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