Geometry - Grosse Pointe Public Schools
Geometry
8.4 – 8.5 Worksheet Name________________________________________
Find the AREA of each triangle. Convert units when needed. Don’t forget to divide by two!
|1. |2. |3. Be careful on the base and the height! |
|[pic] |[pic] |[pic] |
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|4. |5. |6. |
|[pic] |[pic] |[pic] |
|7. Base = 12 in. |8. Base = 1 ft **Convert units first! |
|Height = 5 in. |Height = 3 in |
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Given the area, find each base or height.
|9. Area = 18 m2 |10. Area = 45 yd2 |
|[pic] |[pic] |
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|height = _________ |base = _________ |
Use the Pythagorean Theorem [pic] to find the missing side. Then, find the AREA of the triangle.
| 11. |
|[pic] |
|x = _____ Area = ___________ |
Triangles ABC and DEF are similar. Find the scale factor of (ABC to (DEF. Then find the ratio of their areas.
|12. |13. |
|[pic] |[pic] |
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|Scale Factor: ___________ |Scale Factor: ___________ |
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|Area of (ABC: _______ Area of (DEF: _______ |Area of (ABC: _______ Area of (DEF: _______ |
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|Simplified ratio of the areas: ___________ |Simplified ratio of the areas: ___________ |
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The scale factor of two similar triangles is given. Find the ratio of their areas.
|14. The scale factor of (PQR to (XYZ is [pic] |15. The scale factor of (PQR to (XYZ is [pic] |
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MATCH the trapezoid with the equation used to find the area.
| |A. |B. |C. |
|16. [pic] |[pic] |[pic] |[pic] |
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|17. [pic] | | | |
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|18. [pic] | | | |
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|19. [pic] | | | |
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|20. [pic] | | | |
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|21. [pic] | | | |
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| |D. |E. |F. |
| |[pic] |[pic] |[pic] |
Find the AREA of each trapezoid.
|22. |23. |24. |
|[pic] |[pic] |[pic] |
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|25. |26. b1 = 4 mm b2 = 6 mm Convert units first! |
|[pic] |height = 1 cm |
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Given the area, find each base or height.
|27. If a trapezoid has an area of 60 ft2 and the lengths of the bases are 6 ft |28. If a trapezoid has an area of 135 cm2 and its height is 10 cm and one base |
|and 9 ft, find the height. |is 12cm, find the other base length. |
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Find the height using the Pythagorean Theorem [pic]. Then, use the height to help find the AREA of the trapezoid.
|29. |First, use Pythagorean Theorem to find h. |
|[pic] | |
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| |Now plug in the height and both bases to find the area. |
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Given the area, find the base or height length of each trapezoid.
|30. Area = 8 m2 |31. Area = 198 m2 |
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|[pic] |[pic] |
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| |b2 = _________ |
|height = _________ | |
ADD or SUBTRACT to find the area of each shape or shaded region.
|32. |33. |
|[pic] |[pic] |
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|Area Triangle: _________ Area Rectangle: _________ |Area Triangle: _________ Area Rectangle: _________ |
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|ADD OR SUBTRACT |ADD OR SUBTRACT |
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|TOTAL AREA: |SHADED AREA: |
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|34. |35. |
|[pic] |[pic] |
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|Area Trapezoid: _________ Area Rectangle: _________ | |
| |Area Trapezoid: _________ Area Rectangle: _________ |
|ADD OR SUBTRACT | |
| |ADD OR SUBTRACT |
|TOTAL AREA: | |
| |SHADED AREA: |
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