Analytic Geometry with Calculus: Cartesian Coordinate System and Plane Geometry
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Questions and Answers

What is the other name for the Cartesian coordinate system?

  • Rectangular coordinate system (correct)
  • Polar coordinate system
  • Spherical coordinate system
  • Cylindrical coordinate system

In the Cartesian coordinate system, what are the perpendicular real number lines intersecting at the origin called?

  • Secants
  • Tangents
  • Axes (correct)
  • Chords

What is the x-coordinate of a point in an xy-plane also known as?

  • Coordinate axis
  • Ordinate
  • Quadrant
  • Abscissa (correct)

What is the vertical line in the Cartesian coordinate system referred to as?

<p>y-axis (A)</p> Signup and view all the answers

Which quadrant would a point belong to if its x-coordinate is negative and y-coordinate is positive?

<p>Second quadrant (B)</p> Signup and view all the answers

What is the horizontal distance between the points (−2, 3) and (5, 1)?

<p>7 (D)</p> Signup and view all the answers

What is the distance between the points (6, −1) and (−4, −3)?

<p>$rac{7 oot 2 elax}{2}$ (C)</p> Signup and view all the answers

Which triangle has vertices A(1, 4), B(10, 6), and C(2, 2)?

<p>Right triangle (C)</p> Signup and view all the answers

What is the point on the y-axis equidistant from A(−5, −2) and B(3,2)?

<p>(0, 3) (B)</p> Signup and view all the answers

Which statement is correct about the triangle with vertices A(3, 8), B(−11, 3), and C(−8, −2)?

<p>$AB = BC \neq AC$ (B)</p> Signup and view all the answers

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