Diagonals in Geometry
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Questions and Answers

What is the definition of a diagonal?

  • A straight line that connects two adjacent corners of a polygon
  • A straight line that connects two opposite corners of a polygon (correct)
  • A curved line that connects two corners of a polygon
  • A line that divides a polygon into two equal parts
  • Why didn't Caroline's mother want her to cut across the intersection?

  • Because it wasn't safe (correct)
  • Because it was a diagonal
  • Because it was against the law
  • Because it was a quadrilateral
  • What type of diagonals cross each other at right angles?

  • Parallel diagonals
  • Skew diagonals
  • Mutually bisecting diagonals
  • Perpendicular diagonals (correct)
  • Which shapes in Diagram 1 have perpendicular diagonals?

    <p>Kite and square</p> Signup and view all the answers

    What is the characteristic of mutually bisecting diagonals?

    <p>They cross each other at the halfway point of each other</p> Signup and view all the answers

    Which shapes in Diagram 1 have mutually bisecting diagonals?

    <p>Square and rectangle</p> Signup and view all the answers

    Why did Shirley decide to cut across the middle of the square?

    <p>Because it would take a long time to go all the way around it</p> Signup and view all the answers

    What is a way to remember what perpendicular means?

    <p>You can put the corner of a piece of paper right in it</p> Signup and view all the answers

    How many types of diagonals are mentioned in the text?

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

    What is the name of the ant who cut across the middle of the square?

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

    Study Notes

    Diagonals

    • A diagonal is a straight line that connects two opposite corners of a polygon.

    Types of Diagonals

    • There are two types of diagonals in polygons: perpendicular diagonals and mutually bisecting diagonals.

    Perpendicular Diagonals

    • Perpendicular diagonals cross each other at a right angle (90 degrees).
    • A way to remember this is that you could fit the corner of a piece of paper exactly in the right angle.
    • Examples of shapes with perpendicular diagonals are kites and squares.

    Mutually Bisecting Diagonals

    • Mutually bisecting diagonals cross each other at the halfway point of each other.
    • Examples of shapes with mutually bisecting diagonals are rectangles and squares.

    Drawing Diagonals

    • To draw a diagonal, use a straight edge to draw a straight line from one corner to the opposite corner of a polygon.
    • By drawing two diagonals, you can determine if they are perpendicular or mutually bisecting.

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    Description

    This quiz is about understanding the concept of diagonals in a quadrilateral. It starts with a real-life scenario and then invites you to think about diagonals in a square from an ant's perspective.

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