Geometry: Perpendicular Sides and Shapes
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Questions and Answers

What is the measurement of a right angle?

  • 45 degrees
  • 90 degrees (correct)
  • 180 degrees
  • 120 degrees

    • What does the special symbol in the corner angle signify?

  • An angle of 180 degrees
  • An obtuse angle
  • An acute angle
  • An angle of 90 degrees (correct)

    • Which of the following shapes cannot have perpendicular sides?

  • Regular hexagons (correct)
  • Squares
  • Rectangles
  • Right triangles

    • What is the sum of the angles in a quadrilateral?

    <p>360 degrees</p> Signup and view all the answers

    Which of the following shapes is NOT a quadrilateral with perpendicular sides?

    <p>Right triangles</p> Signup and view all the answers

    What is the purpose of the box symbol in the angle?

    <p>To identify the perpendicular sides of the shape</p> Signup and view all the answers

    What is a characteristic of a right triangle?

    <p>It has one right angle.</p> Signup and view all the answers

    What is an example of a real-world object that has perpendicular sides?

    <p>A box of crackers</p> Signup and view all the answers

    What is true about the sides of the hexagonal prism?

    <p>The sides are perpendicular to the top and bottom of the prism</p> Signup and view all the answers

    What type of angle is formed by the sides that connect at the right angle in a right triangle?

    <p>Right angle</p> Signup and view all the answers

    What is a characteristic of perpendicular line segments?

    <p>They intersect at a 90-degree angle.</p> Signup and view all the answers

    What is the reason the top and bottom of the hexagonal prism are perpendicular to the sides?

    <p>Because the top and bottom of the prism meet the sides at a 90-degree angle</p> Signup and view all the answers

    Which shape has perpendicular sides and faces?

    <p>A cube</p> Signup and view all the answers

    What can be concluded about the shape of the bases of the hexagonal prism?

    <p>The bases are in the shape of a hexagon</p> Signup and view all the answers

    What is a characteristic of a right trapezoid?

    <p>It has one pair of parallel sides and one pair of perpendicular sides.</p> Signup and view all the answers

    Study Notes

    Perpendicular Sides

    • Perpendicular means two lines or sides that meet at a right angle (90 degrees).
    • Perpendicular sides are common in real-life situations, such as houses, storage boxes, and rectangles.
    • A special symbol (a box in the corner angle) is used to signify that two sides are perpendicular without measuring.

    Shapes with Perpendicular Sides

    • The most common shapes with perpendicular sides are squares, rectangles, and right triangles.
    • A quadrilateral is a shape with four sides, and if all its angles are equal, then the sides are perpendicular.
    • Open shapes, like a box without a top, can also have perpendicular sides.

    Real-World Examples of Perpendicular Sides

    • Cracker boxes, thresholds of doors, and notebooks have perpendicular sides.
    • Roads that intersect at a right angle are also perpendicular.

    Perpendicular Line Segments

    • A line segment is a line that begins and stops at a point.
    • Perpendicular line segments are line segments that intersect at a 90-degree angle.
    • If two line segments intersect at a 90-degree angle, all four angles between them are also 90 degrees.

    Perpendicular Shapes

    • A perpendicular shape is a shape with at least two sides that come together at a 90-degree angle.
    • Examples of perpendicular shapes include squares, rectangles, right triangles, cubes, and rectangular prisms.
    • These shapes can be easily identified by the presence of a box symbol in the angle, indicating a 90-degree angle.

    Shapes with Perpendicular Lines

    • A cube has perpendicular sides as well as perpendicular faces.
    • A right trapezoid has a pair of parallel sides and sides that are perpendicular to each other.
    • The presence of a box symbol in the angle indicates a 90-degree angle and perpendicular sides.

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    Description

    Learn about perpendicular sides, their real-life applications, and shapes that have them, including squares, rectangles, and right triangles.

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