Questions and Answers
What is the definition of a diagonal?
Why didn't Caroline's mother want her to cut across the intersection?
What type of diagonals cross each other at right angles?
Which shapes in Diagram 1 have perpendicular diagonals?
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What is the characteristic of mutually bisecting diagonals?
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Which shapes in Diagram 1 have mutually bisecting diagonals?
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Why did Shirley decide to cut across the middle of the square?
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What is a way to remember what perpendicular means?
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How many types of diagonals are mentioned in the text?
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What is the name of the ant who cut across the middle of the square?
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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.
