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Learning Goal

‹5 of 6 in this skill_area›

Parallel and perpendicular line slopes

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

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)*

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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)

What you'll learn

  1. 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
  2. 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 $-1$
  3. Classify a pair of linear equations given in mixed forms as parallel, perpendicular, neither, or the same line written two ways
  4. Use a parallel or perpendicular condition to solve for an unknown coefficient and to find the perpendicular bisector of a segment

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