Geometry Basics: Parallel and Perpendicular Lines
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Questions and Answers

Which lines are parallel in the regular pentagonal prism? (Select all that apply)

  • CD and HE (correct)
  • AB and HC (correct)
  • HF and KG
  • AE and BD
  • In the rectangular prism, which edges are parallel to $BD$? (Select each correct answer)

  • AH (correct)
  • JM
  • MK (correct)
  • PY (correct)
  • In the rectangular prism, which edges are perpendicular to $JA$? (Select each correct answer)

  • JT (correct)
  • EJ (correct)
  • MK
  • RA (correct)
  • What other facts can Dakota conclude given that $EJ$ is perpendicular to $CN$ and $CN$ is parallel to $KT$? (Select each correct answer)

    <p>EV is perpendicular to KT</p> Signup and view all the answers

    Use the image to classify each pair of lines as Parallel, Perpendicular, or Cannot Be Determined.

    <p>Answers vary based on the provided image.</p> Signup and view all the answers

    Study Notes

    Parallel Lines in a Prism

    • In a regular pentagonal prism, lines AB and HC, as well as lines CD and HE, are parallel to each other.

    Parallel Edges in a Rectangular Prism

    • In a rectangular prism, the edges parallel to BD include AH, PY, and MK.

    Perpendicular Edges in a Rectangular Prism

    • In the same rectangular prism, edges RA, EJ, and JT are perpendicular to edge JA.

    Conclusions from Perpendicularity and Parallelism

    • If EJ is perpendicular to CN, and CN is parallel to KT, then it can be concluded that EV is perpendicular to KT and the measure of angle CJV is 90 degrees.

    Line Classification

    • A task involves classifying pairs of lines as Parallel, Perpendicular, or Cannot Be Determined based on an accompanying image.

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    Description

    Test your knowledge of basic geometric terms and definitions with this quiz focused on identifying parallel and perpendicular lines in geometric shapes. It covers essential concepts related to prisms and their properties. Perfect for students looking to reinforce their understanding of geometry fundamentals.

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