Geometry Exam: Shapes and Properties
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Questions and Answers

What is the sum of the interior angles of a triangle?

  • 360 degrees
  • 180 degrees (correct)
  • 120 degrees
  • 240 degrees

    • What is the formula for finding the area of a triangle?

  • A = b^2h
  • A = bh
  • A = 1/2bh (correct)
  • A = bh^2

    • What is the name of a quadrilateral with opposite sides of equal length?

  • Parallelogram (correct)
  • Trapezoid
  • Rhombus
  • Rectangle

    • What is the formula for finding the circumference of a circle?

    <p>C = 2πr</p> Signup and view all the answers

    What is the volume of a cube with a side length of 4 cm?

    <p>64 cubic cm</p> Signup and view all the answers

    What is the formula for finding the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    What is the name of a quadrilateral with all sides of equal length?

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

    How is the volume of a rectangular prism calculated?

    <p>V = lwh</p> Signup and view all the answers

    Study Notes

    Shapes and Properties

    • A polygon is a 2D shape with at least three sides and three angles.
    • Examples of polygons: triangle, quadrilateral
    • A hexagon has 6 sides.
    • The sum of the interior angles of a triangle is 180 degrees.
    • A parallelogram is a quadrilateral with opposite sides of equal length.
    • Two types of quadrilaterals:
      • Rectangle: all angles are right angles (90 degrees)
      • Rhombus: all sides are of equal length

    Perimeter and Area

    • The perimeter of a rectangle is the sum of the lengths of all its sides.
    • Formula for perimeter of a rectangle: 2(l + w)
    • The area of a square is side length squared.
    • Formula for area of a triangle: (base * height) / 2
    • The formula is used when the base and height of the triangle are known.
    • The circumference of a circle is π times the diameter.
    • The area of a circle is π times the radius squared.

    Volume

    • Volume is the measure of the amount of space inside a 3D shape.
    • Formula for volume of a cube: side length cubed
    • The volume of a rectangular prism is length times width times height.
    • Formula for volume of a cylinder: π times radius squared times height
    • The volume of a sphere is (4/3) times π times radius cubed.

    Mathematical Drawings

    • To draw a square with a diagonal of length 8 cm, use the Pythagorean theorem to find the side length, then construct the square.
    • To draw an isosceles triangle, use the given side lengths and angle properties to construct the triangle.

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    Description

    Test your understanding of basic geometry concepts, including shapes, properties, and measurements. Questions cover polygons, quadrilaterals, angles, and more.

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