Understanding Congruent Figures in Geometry
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Questions and Answers

What defines congruent figures?

  • They can only be proved through measurements.
  • They can be made identical through rigid motion. (correct)
  • They only match in one-dimensional aspects.
  • They have different corresponding side lengths.

    • Which rigid transformations can create congruent figures?

  • Stretching and shrinking figures.
  • Rotations, reflections, and translations. (correct)
  • Only translations across different dimensions.
  • Drawing figures with different angles.

    • In the context of tessellations, what is a key feature of the figures involved?

  • These figures must have varying angles.
  • Figures should be only two-dimensional.
  • They exhibit repeated patterns without gaps. (correct)
  • The figures can overlap in random placements.

    • What would happen to the properties of congruent figures under a rigid transformation?

    <p>Both side lengths and angle measures remain unchanged.</p> Signup and view all the answers

    Which statement best describes the relationship between congruent figures and their transformations?

    <p>Only specific rigid motions maintain congruence.</p> Signup and view all the answers

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