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Name: _____________________________ Date: __________________ Hr: ______

Unit 10 WS #2 Triangle, Parallelogram & Trapezoid Area

When finding area of a triangle, you must be able to identify the base and height of the triange. The HEIGHT of a triangle must be PERPENDICULAR to its BASE!!

TRIANGLES:

Identify the number or line segment that would be the base and height in each case.

1. 2. 3.

base: _____ base: ____ base: _____

height: _____ height:_____ height: _____

4. On the graph paper provided, connect each set of three points to make a triangle. Then fill in the chart with the base, height, and area of each triangle. Find area by counting the approximate number of squares.

[pic]

|Triangle |Vertices |Base length |Height |Approximate Area |

|A |(-16, 1) (-10, 1) (-13,3) | | | |

|B |(2, -8) (2, -2) (8, -8) | | | |

|C |(-1, 2) (-1, 8) (-4, 5) | | | |

|D |(-12, -2) (-4, -2) (-8, -8) | | | |

|E |(4, 1) (2, 4) (9, 1) | | | |

|F |(16, 1) (9, 8) (16, 8) | | | |

5. Look up the formula for the area of a triangle on an AIMS formula sheet. Fill it in below:

Triangle Area = _________

6. Use the triangle area formula to calculate the area of each of the triangles from question 4. Show your work. Triangle A has been done for you.

Area of Triangle A = ½ ∙6∙2 = 6 Area of Triangle B = __________= ________

Area of Triangle C = __________= ________ Area of Triangle D = __________= ________

Area of Triangle E = __________= ________ Area of Triangle F = __________= ________

7. Did using the area formula get approximately the same number as when you counted boxes? Explain.

PARALLELOGRAMS: The HEIGHT of a parallelogram must be PERPENDICULAR to its BASE!!

Identify the number or line segment that would be the base and height in each case.

8. 9. 10,

[pic]

base: _____ base: ____ base: _____

height: _____ height:_____ height: _____

11. On the graph paper provided, connect each set of four points to make a parallelogram. Then fill in the chart with the base, height, and area of each parallelogram. Find area by counting the approximate number of squares.

[pic]

|Parallelogram |Vertices |Base length |Height |Approximate Area |

|A |(11, 4) (15, 4) (12, 7) (16, 7) | | | |

|B |(4, -1) (1, 1) (1, 7) (4, 5) | | | |

|C |(-8, 2) (-7, 4) (-8, 6) (-7,8) | | | |

|D |(-12, -2) (-8, -2) (-14, -6) (-10, -6) | | | |

|E |(-4, -3) (-5, -5) (5, -3) (4, -5) | | | |

|F |(9, -2) (12, -2) (9, -7) (12, -7) | | | |

12. Look up the formula for the area of a parallelogram on an AIMS formula sheet. Fill it in below:

Parallelogram Area = _________

13. Use the parallelogram area formula to calculate the area of each of the parallelograms from question 11. Show your work. Triangle A has been done for you.

Area of Parallelogram A = 4∙3 = 12

Area of Parallelogram B = _________= ________

Area of Parallelogram C = _________= ________

Area of Parallelogram D = _________= ________

Area of Parallelogram E = _________= ________

Area of Parallelogram F = _________= ________

14. Did using the area formula get approximately the same number as when you counted boxes? Explain.

TRAPEZOIDS: In a trapezoid, the BASES are the parallel sides. The HEIGHT is the perpendicular distance between these two BASES.

Identify the number or line segment that would be the TWO bases and height in each case.

15. 16. 17.

[pic]

base: _____ base: ____ base: _____

base: _____ base: ____ base: _____

height: _____ height:_____ height: _____

18. On the graph paper provided, connect each set of four points to make a trapezoid. Then fill in the chart with both bases, the height, and the approximate area of each trapezoid. Find area by counting the approximate number of squares.

[pic]

|Trapezoid |Vertices |Base length |Base length |Height |Approximate Area |

|A |(-16, 1) (-11, 1) (-12, 4) (-14, 4) | | | | |

|B |(-5, 1) (-5, 6) (-9, 3) (-9, 4) | | | | |

|C |(-16, -2) (-8, -2) (-13, -8) (-11, -8) | | | | |

|D |(2, 3) (2, 8) (7, 4) (7, 6) | | | | |

|E |(6, -2) (4, -4) (13, -4) (11, -2) | | | | |

19. Look up the formula for the area of a trapezoid on an AIMS formula sheet. Fill it in below:

Trapezoid Area = _________

20. Use the parallelogram area formula to calculate the area of each of the parallelograms from question 18. Show your work. Triangle A has been done for you.

Area of Trapezoid A = ½∙3∙(5+2) = 10.5

Area of Trapezoid B = _________= ________

Area of Trapezoid C = _________= ________

Area of Trapezoid D = _________= ________

Area of Trapezoid E = _________= ________

21. Did using the area formula get approximately the same number as when you counted boxes? Explain.

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