NAME:____________________
Instructions: For problems 1 - , use GSP. Label your sketches to match the problem of the test. Print out your sketches when finished.
1. a) Construct a right triangle.
b) What properties of a right triangle did you use in your construction?
2. a) Construct a scalene triangle.
b) What properties of a scalene triangle did you use in your construction?
c) How can you use GSP to ensure that your triangle is scalene?
3. a) Construct a hexagon.
b) Is your hexagon regular? Explain your answer.
4. a) Construct an obtuse angle.
b) What defines an obtuse angle.
5. a) Construct a septagon.
b) Is your septagon regular?
c) What would define a regular septagon?
6. Construct a triangle in which the Pythagorean theorem cannot be used to find unknown side lengths.
NAME:_______________
Instructions: Answer the following questions showing all scratch work on a separate piece of paper.
1. What is an acute angle?
Classify each triangle by its side lengths and angle measures.
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For each triangle, find its unknown side length. (These are right triangles.) Round your answers to the hundredths.
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6. a) What are the properties of a trapezoid?
b) Draw a trapezoid.
7. Is a square a rectangle? Explain your answer.
8. Is a parallelogram a rectangle? Explain your answer.
Find the missing angle measurement for each figure. All angle measurements are in degrees.
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9. Write an equation that would help you find the measurement of angle c in a triangle whose other two angle measurements are 55 degrees and 41 degrees.