Calculating Areas of Geometric Shapes

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Explore the concept of finding the area of trapezoids, rhombuses, kites, and regular polygons using visual aids and explanations. Learn about the measurements needed, such as base, height, apothem, and more, to determine the area accurately. Practice calculating areas of various polygons like decagons, octagons, and hexagons to strengthen your geometric skills.


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  1. 10.2: Area of Trapezoids, Rhombuses, and Kites

  2. What is the approximate area of Nevada?

  3. Where the height is the perpendicular distance between the bases

  4. What is the area of this trapezoid?

  5. What is the area of this trapezoid?

  6. What is the area of this kite?

  7. What is the area of this rhombus?

  8. 10.3: Area of Regular Polygons

  9. If you circumscribe a circle around a polygon, the radius of the polygon is the distance from the center to a vertex, and the apothem is the perpendicular distance from the center to a side

  10. The red line is an apothem what are the angle measures shown?

  11. What does it mean for two shapes to be congruent? What are the areas of these trapezoids?

  12. What is the area of this decagon?

  13. What is the area of this octagon?

  14. What is the area of this hexagon?

  15. Homework: Area worksheet Quiz on Thursday (Glide reflections and the end of chapter 9)

  16. For A(5, 2), B(1, 7), C(-1, -2) 5.

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