Geometry Formulas Quiz

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Questions and Answers

Match the following formulas with their respective calculations:

Perimeter of a Triangle = a + b + c Area of a Triangle = 1/2bh Midpoint Formula = (x1 + x2)/2, (y1 + y2)/2 Slope Formula = (y2 − y1)/(x2 − x1)

Match the following geometry formulas with their properties:

Sum of Interior Angles of a Polygon = (n − 2) * 180 Perimeter of a Rectangle = 2 × (Length + Width) Area of a Square = a^2 Volume of a Cube = a^3

Match the following shapes with their perimeter formulas:

Parallelogram = 2a + 2b Rhombus = 4a Trapezoid = a + b + c + d Kite = 2a + 2b

Match the following shapes with their surface area formulas:

<p>Cube = 6a^2 Rectangular Prism = 2lw + 2lh + 2wh Cylinder = 2πr^2 + 2πrh Sphere = 4πr^2</p> Signup and view all the answers

Match the following shapes with their volume formulas:

<p>Cube = a^3 Rectangular Prism = lwh Cylinder = πr^2 h Sphere = 4/3πr^3</p> Signup and view all the answers

Match the following circle properties with their respective formulas:

<p>Circumference of a Circle = πd Area of a Circle = πr^2</p> Signup and view all the answers

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Study Notes

Geometry Formulas

  • Perimeter of a Triangle: sum of all three sides (a + b + c)
  • Area of a Triangle: 1/2 base × height (1/2bh)

Midpoint and Slope Formulas

  • Midpoint Formula: ((x1 + x2)/2, (y1 + y2)/2)
  • Slope Formula: (y2 - y1) / (x2 - x1)

Distance Formula

  • Distance between two points: √((x2 - x1)^2 + (y2 - y1)^2)

Polygons

  • Sum of Interior Angles of a Polygon: (n - 2) × 180
  • Each Angle of a Polygon: (n - 2) × 180 / n

Quadrilaterals

  • Perimeter of a Rectangle: 2 × (Length + Width)
  • Area of a Rectangle: Length × Width
  • Perimeter of a Square: 4a
  • Area of a Square: a^2
  • Perimeter of a Parallelogram: 2a + 2b
  • Area of a Parallelogram: base × height (bh)
  • Perimeter of a Rhombus: 4a
  • Area of a Rhombus: 1/2 × product of diagonals (1/2pq)
  • Perimeter of a Trapezoid: a + b + c + d
  • Area of a Trapezoid: 1/2 × (sum of bases) × height (1/2(b1 + b2)h)
  • Perimeter of a Kite: 2a + 2b
  • Area of a Kite: 1/2 × product of diagonals (1/2pq)

3D Shapes

  • Surface Area of a Cube: 6a^2
  • Volume of a Cube: a^3
  • Surface Area of a Rectangular Prism: 2lw + 2lh + 2wh
  • Volume of a Rectangular Prism: lwh
  • Surface Area of a Cylinder: 2πr^2 + 2πrh
  • Volume of a Cylinder: πr^2h
  • Surface Area of a Pyramid: lw + Area of each triangle
  • Volume of a Pyramid: 1/3lwh
  • Surface Area of a Cone: πr^2 + πrl
  • Volume of a Cone: 1/3πr^2h
  • Surface Area of a Sphere: 4πr^2
  • Volume of a Sphere: 4/3πr^3

Circles

  • Circumference of a Circle: πd
  • Area of a Circle: πr^2

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