Diagonals in Geometry
10 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

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.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    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.

    More Like This

    Use Quizgecko on...
    Browser
    Browser