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Elementary Geometry
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Elementary Geometry

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Questions and Answers

In elementary geometry, two geometric objects are perpendicular if their intersection forms angles that are?

  • 60 degrees or Ï€/3 radians wide
  • 180 degrees or Ï€ radians wide
  • 45 degrees or Ï€/4 radians wide
  • 90 degrees or Ï€/2 radians wide (correct)
  • The condition of perpendicularity may be represented graphically using which symbol?

  • ∠
  • ⊥
  • ∥
  • ⟂ (correct)
  • Perpendicular intersections can happen between which of the following?

  • Two lines, a line and a plane, and two planes (correct)
  • A line and a point
  • Two planes only
  • Two line segments only
  • In advanced mathematics, the word 'perpendicular' is sometimes used to describe what?

    <p>More complicated geometric orthogonality conditions</p> Signup and view all the answers

    A line is said to be perpendicular to another line if the two lines intersect at?

    <p>A right angle</p> Signup and view all the answers

    What is the slope-intercept form of the given line -4x-9y=2?

    <p>$y=-\frac{4}{9}x-\frac{2}{9}$</p> Signup and view all the answers

    What is the equation of the line parallel to $-4x-9y=2$ passing through the point (5, -1)?

    <p>$y=-\frac{4}{9}x+\frac{11}{9}$</p> Signup and view all the answers

    What is the slope of a line perpendicular to the given line $-4x-9y=2$?

    <p>$\frac{9}{4}$</p> Signup and view all the answers

    If the slope of a line is $\frac{3}{5}$, what is the slope of a line parallel to it?

    <p>$\frac{3}{5}$</p> Signup and view all the answers

    If the slope of a line is $-2$, what is the slope of a line perpendicular to it?

    <p>$\frac{1}{2}$</p> Signup and view all the answers

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