Geometry Formulas Quiz

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Questions and Answers

What is the formula for the perimeter and area of a triangle?

Perimeter = 1/2bh, Area = (b × h)/2

What is the formula for the perimeter and area of a rectangle?

Perimeter = 2 × l + 2 × w, Area = bh

What is the formula for the perimeter and area of a square?

Perimeter = 4 × s, Area = s²

What is the formula for the perimeter and area of a parallelogram?

<p>Perimeter = 2 × a + 2 × b, Area = b × h</p> Signup and view all the answers

What is the formula for the perimeter and area of a rhombus?

<p>Perimeter = 4 × b, Area = b × h</p> Signup and view all the answers

What is the formula for the perimeter of a trapezoid?

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

What is the formula for the circumference and area of a circle?

<p>Circumference = pi × d, Area = pi × r²</p> Signup and view all the answers

What is the formula for the volume of a cylinder?

<p>Volume = πr²h</p> Signup and view all the answers

What is the formula for the volume of a pyramid?

<p>Volume = (1/3) b h</p> Signup and view all the answers

What is the formula for the volume of a cone?

<p>Volume = 1/3πr²h</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>Volume = (4/3) × 3.14 × r³</p> Signup and view all the answers

What is the Pythagorean Theorem?

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

How do you find the hypotenuse?

<p>Add and take the square root.</p> Signup and view all the answers

What is the formula for the surface area of a sphere?

<p>Surface Area = 4πr²</p> Signup and view all the answers

What is the formula for the surface area of a cone?

<p>Surface Area = πr² + πrs</p> Signup and view all the answers

What is the formula for the surface area of a cylinder?

<p>Surface Area = 2πr² + 2πrh</p> Signup and view all the answers

Flashcards

Triangle: perimeter and area?

Perimeter = 1/2bh, Area = (b × h)/2

Rectangle: perimeter and area?

Perimeter = 2 × l + 2 × w, Area = bh

Square: perimeter and area?

Perimeter = 4 × s, Area = s²

Parallelogram: perimeter and area?

Perimeter = 2 × a + 2 × b, Area = b × h

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Rhombus: perimeter and area?

Perimeter = 4 × b, Area = b × h

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Trapezoid: perimeter?

Perimeter = a + b + c + d

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Circle: circumference and area?

Circumference = pi × d, Area = pi × r²

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Cylinder: volume?

Volume = πr²h

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Pyramid: volume?

Volume = (1/3) b h

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Cone: volume?

Volume = 1/3πr²h

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Sphere: volume?

Volume = (4/3) × 3.14 × r³

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Pythagorean Theorem?

a² + b² = c²

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How to find the hypotenuse?

Add and take the square root.

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Sphere: surface area?

Surface Area = 4πr²

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Cone: surface area?

Surface Area = πr² + πrs

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Cylinder: surface area?

Surface Area = 2πr² + 2πrh

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Study Notes

Triangle Formulas

  • Perimeter: ( P = \frac{1}{2}bh )
  • Area: ( A = \frac{b \times h}{2} )

Rectangle Formulas

  • Perimeter: ( P = 2l + 2w )
  • Area: ( A = bh )

Square Formulas

  • Perimeter: ( P = 4s )
  • Area: ( A = s^2 )

Parallelogram Formulas

  • Perimeter: ( P = 2a + 2b )
  • Area: ( A = b \times h )

Rhombus Formulas

  • Perimeter: ( P = 4b )
  • Area: ( A = b \times h )

Trapezoid Formulas

  • Perimeter: ( P = a + b + c + d )

Circle Formulas

  • Circumference: ( C = \pi \times d )
  • Area: ( A = \pi r^2 = \frac{\pi d^2}{4} )

Cylinder Formula

  • Volume: ( V = \pi r^2 h )

Pyramid Formula

  • Volume: ( V = \frac{1}{3} b h )

Cone Formula

  • Volume: ( V = \frac{1}{3} \pi r^2 h )

Sphere Formulas

  • Volume: ( V = \frac{4}{3} \pi r^3 )
  • Surface Area: ( SA = 4\pi r^2 )

Rectangular Prism Formulas

  • Volume: ( V = lwh )
  • Surface Area: ( SA = 2lh + 2lw + 2wh )

Triangular Prism Volume Formula

  • Volume: ( V = \frac{1}{2} b h l )

Cylinder Base Area and Volume

  • Base Area: ( B = \pi r^2 )
  • Volume: ( V = bh )

Radius Formula

  • Relationship: ( C = 2\pi r )

Right Triangular Prism Volume Formula

  • Volume: ( V = B = \frac{1}{2} bh )

Pythagorean Theorem

  • Relationship: ( a^2 + b^2 = c^2 )

Finding the Hypotenuse

  • Sum the squares of the legs and take the square root.

Cone Surface Area

  • Formula: ( SA = B + LA = \pi r^2 + \pi r s )

Truncated Cone Volume Formula

  • Volume: ( V = \frac{1}{3}\pi h (r^2 + rR + R^2) )

Cylinder Surface Area Formula

  • Surface Area: ( SA = 2\pi r^2 + 2\pi rh )

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