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2D Geometry Unit Quiz Review

This quiz review packet covers formulas for calculating areas of parallelograms, triangles, trapezoids, circles, and composite figures. Practice problems included with step-by-step solutions. Study and master geometry concepts efficiently.

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2D Geometry Unit Quiz Review

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  1. 2D Geometry Unit Quiz Review Book: Ch. 9 Lessons 1, 2, and 3 Packet: Ch. 8 Lessons 1, 2, and 3

  2. Quiz • Will be provided with all formulas needed • Must write formula first, plug in numbers and show your work to get full credit for each problem • Make sure you have a calculator!

  3. 9-1 • Area of Parallelograms • A = bh • Base and height must be perpendicular • Write formula first! • Plug in values • Solve • Answer = square units

  4. 9-1 • The base of a building is shaped like a parallelogram. The first floor has an area of 20,000 square feet. If the base of this parallelogram is 250 feet, can its height be 70 feet? Explain.

  5. 9-2 • Area of Triangles • A = • Base and height must be perpendicular • Write formula first! • Plug in values • Solve • Answer = square units

  6. 9-2 • Norma has an A-frame cabin. The back is shown below. How many square feet of paint will she need to cover the front and back of the cabin? • If a can of paint covers 20 square feet, how many cans will she need?

  7. 9-3 • Area of Trapezoids • A = • Bases and height must be perpendicular • Write formula first! • Plug in values • Solve using order of operations • Answer = square units

  8. 9-3 • Find the height of a trapezoid given that it has an area of 650 square feet and the lengths of its bases are 23 feet and 42 feet.

  9. 9-3 • Find the area of the figure.

  10. 8-1 • Circumference = the distance around a circle • Diameter = the distance across a circle through its center • Radius = the distance from the center to any point on the circle • If you have the diameter, divide it by 2 to get the radius • If you have the radius, multiply it by 2 to get the diameter

  11. 8-1 • Circumference Formulas (write down): • C = πd OR C = 2πr • Use first formula if given the diameter in the problem • Use second formula if given the radius in the problem • Label answer! • Regular units (in, cm, m, etc.)

  12. 8-1 • Find the circumference of each circle. Use 3.14 for π. Round to the nearest tenth if necessary. 1.) 2.)

  13. 8-1 • At a local park, Sara can choose between two circular paths to walk. One path has a diameter of 120 yards, and the other has a radius of 45 yards. How much farther can Sara walk on the longer path than the shorter path if she walks around the path once?

  14. 8-2 • Area of a circle = interior region of an enclosed figure measured in square units (the space inside) • Area of circle formula (write in notebook): • A = π • If you have the diameter, divide it by 2 to get the radius, then plug into formula • Label answer! • Square units (in2 , m2 , etc.)

  15. 8-2 • Find the area of each circle. Use 3.14 for π. Round to the nearest tenth if necessary. 1.) 2.)

  16. 8-2 • Tarie is cutting material in the shape of semicircles for her craft project. What is the area of the semicircle? Use 3.14 for π.

  17. 8-3 • Area of Composite Figures—divide figure into shapes you can find the area of • STEPS: *Split figure • Write out what shapes you are finding the area of • Show work for each shape • Add areas together & label answer (square units)

  18. 8-3 • Find the area of each figure. Round to the nearest tenth if necessary.

  19. 8-3 • The picture shows the lobby floor of an office building. The floor needs to be covered with tile. How many square feet of tile are needed? • If each square foot of tile costs $1.59, what is the total cost of this project?

  20. 8-3 • Find the area of each figure. Round to the nearest tenth if necessary. 1.) 2.)

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