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Areas of Shapes quiz

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  • What is the formula for the area of a triangle?
    The formula is Area = 0.5 × base × height.
  • In the formula for the area of a triangle, what do 'base' and 'height' represent?
    The 'base' is the length of one side of the triangle, and the 'height' is the perpendicular distance from the base to the opposite vertex.
  • How do you determine the base of a triangle on a graph?
    You find the difference between the x-values of the two points that form the base.
  • How do you determine the height of a triangle on a graph?
    You find the difference between the y-values of the points that define the height.
  • What is the area of a triangle with a base and height of 3 units each?
    The area is 4.5 square units.
  • If a triangle has a base of 4 units and a height of 3 units, what is its area?
    The area is 6 square units.
  • What is the area of a triangle with a base of 6 units and a height of 2 units?
    The area is 6 square units.
  • Why is it important to correctly identify the base and height on a graph?
    Because using incorrect values for base or height will result in the wrong area calculation.
  • What mathematical operation is performed first when using the area formula for a triangle?
    You multiply the base by the height, then take half of that product.
  • How do you calculate the change in x-values for the base of a triangle?
    Subtract the starting x-value from the ending x-value.
  • How do you calculate the change in y-values for the height of a triangle?
    Subtract the starting y-value from the ending y-value.
  • If the base of a triangle is 3 units and the height is 3 units, what is the calculation for the area?
    Area = 0.5 × 3 × 3 = 4.5.
  • What should you do if you struggle with fractions or decimals when calculating area?
    Review the provided materials on fractions and decimals for additional support.
  • In example C, what are the base and height values used to calculate the area?
    The base is 6 units and the height is 2 units.
  • What is the general process for finding the area of a triangle on a graph?
    Identify the base and height, calculate their values, and apply the area formula: 0.5 × base × height.