Geometry Quiz: Triangles and Distances
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Questions and Answers

Which of the following statements is true regarding an equilateral triangle?

  • The angles can vary in measure.
  • It can have a right angle.
  • It must contain obtuse angles.
  • All angles are acute. (correct)

    • What is the perimeter comparison between an isosceles triangle with a 65° vertex angle and an equilateral triangle with equal side lengths?

  • The equilateral triangle has a greater perimeter.
  • The perimeter cannot be determined without specific lengths.
  • Both triangles have equal perimeters.
  • The isosceles triangle has a greater perimeter. (correct)

    • Which point describes the location of the orthocenter in triangle ABC as defined by vertices A(1, 4), B(−3, 4), and C(1, 1)?

  • (1, 1)
  • (1, 4) (correct)
  • (−3, 4)
  • It cannot be determined from given data.

    • Given the midpoint M(9, 11) and one endpoint N(7, 5), what is the correct calculation for finding endpoint G?

    <p>G(11, 17)</p> Signup and view all the answers

    What distance is calculated between points M(6, -16) and Z(-1, 14) to the nearest tenth?

    <p>$18.0$</p> Signup and view all the answers

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