Congruent Figures and Isometric Transformations Quiz
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Questions and Answers

What is the formal definition of congruence in geometry?

  • Two figures can be resized to coincide precisely with each other.
  • Two figures have the same shape but not necessarily the same size.
  • Two figures can be transformed into each other by an isometry. (correct)
  • Two figures have the same shape and size.
  • In elementary geometry, when are two line segments considered congruent?

  • When they have the same length. (correct)
  • When they have the same slope.
  • When they are parallel to each other.
  • When they have the same endpoints.
  • What does the term 'congruent' imply for two plane figures?

  • Their corresponding diagonals and perimeters are equal.
  • Their corresponding sides, angles, and areas are equal. (correct)
  • Their corresponding angles and perimeters are equal.
  • Their corresponding sides and angles are equal.
  • What is the related concept to congruence when objects have the same shape but not necessarily the same size?

    <p>Similarity</p> Signup and view all the answers

    When are two circles considered congruent?

    <p>When they have the same diameter.</p> Signup and view all the answers

    In geometry, when are two figures considered congruent?

    <p>When they have the same shape and size</p> Signup and view all the answers

    What transformations can make two sets of points congruent?

    <p>Translation, rotation, and reflection</p> Signup and view all the answers

    In elementary geometry, when are two line segments considered congruent?

    <p>When they have the same length</p> Signup and view all the answers

    What does the term 'congruent' imply for two circles?

    <p>They have the same diameter</p> Signup and view all the answers

    When are two angles considered congruent?

    <p>When they have the same measure</p> Signup and view all the answers

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