For problems 1-9, identify each statement as true or false. For each false statement sketch a counter example that proves the statement false or explain why it is false.
1. The area of a rectangle and the area of a parallelogram are both given by the formula A = bh, where A is the area, b is the length of the base, and h is the height of the rectangle or parallelogram.
2.The area of a triangle is given by the formula A = 2bh where A is the area, b is the length of the base, and h is the height of the triangle.
3. The area of a trapezoid is given by the following formula:
4. The area of a circle can be calculated by the following formula, where A is the area, r is the radius of the circle, and C is the circumference of the circle:
5. The area of a trapezoid is equal to the product of the length of a midsegment and the height of the trapezoid.
6. The area of a triangle is equal to half the perimeter times the radius of the inscribed circle.
7. The area of a sector of a circle is equal to the area of the circle times the degree measure of the central angle divided by 360.
8. The area of a triangle is equal to half the perimeter times the radius of the inscribed circle.
9. A median of a triangle divides the triangle into two triangle of equal area.
In problems 10 and 11, make a sketch to illustrate each term.
10. Segment of a circle. 11. Sector of a circle.
For problems 12 - 14, draw a diagram and explain in a paragraph how you derived the area for each figure.
12. Parallelogram 13. Trapezoid 14. Circle
Solve problems 15 - 20. All measurements are in centimeters.
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