Geometry Pre Test & Study Guide
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Questions and Answers

What is the definition of a polygon?

  • A three-dimensional shape with flat surfaces.
  • A closed figure with three or more straight sides. (correct)
  • An open figure with four or more sides.
  • A figure with curved lines and angles.
  • Which statement accurately defines a regular polygon?

  • A polygon that has both curved and straight sides.
  • A polygon with unequal sides and angles.
  • A polygon where all sides and angles are equal. (correct)
  • A polygon with at least one angle greater than 90 degrees.
  • What is an example of an irregular polygon?

  • A hexagon where each side is identical.
  • A square with all right angles.
  • A triangle with all sides equal.
  • A pentagon with differing side lengths. (correct)
  • How many sides does a hexagon have?

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

    If a square is a type of quadrilateral, which statement is true?

    <p>All squares are quadrilaterals.</p> Signup and view all the answers

    How can a trapezoid be defined in relation to its sides?

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

    What type of angle measures exactly 90 degrees?

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

    Which of the following statements is true regarding rectangles?

    <p>All rectangles are parallelograms.</p> Signup and view all the answers

    Study Notes

    Polygon Definitions

    • A polygon is a closed, two-dimensional shape made up of straight line segments.
    • Regular polygons have sides of equal length and angles of equal measure; examples include equilateral triangles and squares.
    • Irregular polygons have sides and angles that are not all the same; examples include scalene triangles and random quadrilaterals.

    Plotting Polygons

    • When given coordinate points, plot each point on a graph and connect them in the specified order to form a figure.
    • Complete the figure by joining the starting and ending points to identify it as a polygon.

    Hierarchy of Polygons

    • Begin with a 3-sided polygon (triangle) and progress through to a 10-sided polygon (decagon).
    • Ensure that each polygon is drawn accurately, counting vertices to match the polygon's name.

    Angle Naming

    • Angles can be named in four different ways based on their vertices and sides.
    • The vertex of an angle is the point where the two sides meet, and each side can be identified by naming the endpoints.

    Angle Classification

    • Angles can be classified as:
      • Acute: Less than 90 degrees
      • Right: Exactly 90 degrees
      • Obtuse: Between 90 and 180 degrees
      • Reflex: Greater than 180 degrees
    • Measure angles accurately using a protractor to determine their classification.

    Quadrilaterals Hierarchy

    • Create a hierarchy to show relationships among quadrilaterals:
      • Squares are a type of rhombus.
      • Rectangles do not have congruent sides; they have opposite sides that are equal.
      • Not all quadrilaterals have right angles.
      • Trapezoids have four sides, not more.
      • Four-sided polygons with two sets of parallel sides include rectangles and parallelograms.

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    Description

    This quiz covers fundamental concepts of polygons, including definitions and examples of regular and irregular polygons. Students will also plot points to identify polygons and complete a chart of polygons starting from a 3-sided figure. Prepare to enhance your geometry skills with this comprehensive guide!

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