Geometric Formulas and Shapes Quiz
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Questions and Answers

What is the formula for calculating the perimeter of a rectangle?

P = 2l + 2w

What is the formula for calculating the area of a rectangle?

A = l*w

What is the formula for calculating the perimeter of a square?

P = 4s

What is the formula for calculating the area of a square?

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

What is the sum of the angles in a triangle?

<p>180°</p> Signup and view all the answers

What is the formula for calculating the perimeter of a right triangle?

<p>P = a + b + c</p> Signup and view all the answers

What is the formula for calculating the area of a right triangle?

<p>A = (1/2)ab</p> Signup and view all the answers

What is the Pythagorean theorem?

<p>a² + b² = c²</p> Signup and view all the answers

What is the formula for calculating the perimeter of a trapezoid?

<p>P = a + b + c + B</p> Signup and view all the answers

What is the formula for calculating the area of a trapezoid?

<p>A = (1/2)h(B + b)</p> Signup and view all the answers

What is the formula for calculating the perimeter of a parallelogram?

<p>P = 2a + 2b</p> Signup and view all the answers

What is the formula for calculating the area of a parallelogram?

<p>A = bh</p> Signup and view all the answers

What is the formula for calculating the circumference of a circle?

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

What is the formula for calculating the volume of a rectangular solid?

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

What is the formula for calculating the surface area of a rectangular solid?

<p>S = 2lh + 2lw + 2wh</p> Signup and view all the answers

What is the formula for calculating the volume of a cube?

<p>V = s^3</p> Signup and view all the answers

Flashcards

Perimeter of a rectangle

The total length of all sides added together. For a rectangle, it's P = 2(length + width).

Area of a rectangle

The amount of space inside a two-dimensional shape. For a rectangle, it's A = length * width.

Perimeter of a square

The total length of all sides added together. For a square, it's P = 4 * side.

Area of a square

The amount of space inside a two-dimensional shape. For a square, it's A = side²

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Perimeter of a triangle

The total length of all sides added together. For a triangle, it's P = side1 + side2 + side3.

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Area of a triangle

The amount of space inside a triangle. For a triangle, it's A = (1/2) * base * height.

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Sum of angles in a triangle

The sum of the three angles inside a triangle always equals 180 degrees.

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Right triangle

A triangle with one angle that measures 90 degrees.

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Pythagorean Theorem

In a right triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides. (a² + b² = c²)

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Isosceles triangle

A triangle with two sides of equal length and two angles of equal measure.

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Equilateral triangle

A triangle with all three sides of equal length and all three angles of equal measure.

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Trapezoid

A four-sided shape with two parallel sides (bases) and two non-parallel sides.

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Perimeter of a trapezoid

The total length of all sides added together. For a trapezoid, it's P = base1 + base2 + side1 + side2.

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Area of a trapezoid

The amount of space inside a trapezoid. For a trapezoid, it's A = (1/2) * height * (base1 + base2).

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Parallelogram

A four-sided shape with opposite sides parallel and equal in length.

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Perimeter of a parallelogram

The total length of all sides added together. For a parallelogram, it's P = 2(side1 + side2).

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Area of a parallelogram

The amount of space inside a parallelogram. For a parallelogram, it's A = base * height.

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Circumference of a circle

The distance around a circle. It's C = πd (or C = 2πr).

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Area of a circle

The amount of space inside a circle. It's A = πr².

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Volume of a rectangular solid

The amount of space inside a three-dimensional object. For a rectangular solid, it's V = Length * Width * Height.

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Study Notes

Geometric Formulas

  • Rectangle:
    • Perimeter: P = 2(l + w)
    • Area: A = l × w
  • Square:
    • Perimeter: P = 4s
    • Area: A = s²
  • Triangle:
    • Perimeter: P = a + b + c
    • Area: A = ½bh
  • Sum of Angles of a Triangle:
    • The sum of the angles in a triangle is 180°
  • Right Triangle:
    • Pythagorean Theorem: a² + b² = c²
    • Area: A = ½ab
  • Isosceles Triangle:
    • Has two equal sides and two equal angles.
  • Equilateral Triangle:
    • Has three equal sides and three equal angles.
  • Trapezoid:
    • Perimeter: P = a + b + c + d
    • Area: A = ½h(B + b)

Basic Shapes

  • Parallelogram:
    • Perimeter: P = 2(a + b)
    • Area: A = bh
  • Circle:
    • Circumference: C = 2Ï€r
    • Area: A = Ï€r²

3D Shapes

  • Rectangular Solid:
    • Volume: V = lwh
    • Surface Area: S = 2(lw + lh + wh)
  • Right Circular Cylinder:
    • Volume:V = Ï€r²h
    • Lateral Surface Area: 2Ï€rh
  • Cone:
    • Volume: V = (1/3)Ï€r²h
  • Sphere:
    • Volume: V = (4/3)Ï€r³

Other Formulas

  • Distance: d = rt (r = rate, t = time)
  • Percent: p = br (p = percentage, b = base, r = rate)
  • Simple Interest: I = Prt (P = principal, r = rate, t = time in years)

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Geometric Formulas PDF

Description

Test your knowledge on various geometric formulas for both 2D and 3D shapes. This quiz covers areas, perimeters, volumes, and surface areas, providing a comprehensive review of key concepts in geometry. Perfect for students or anyone looking to refresh their math skills!

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