zMath 180  - Unit 12: Introduction to Geometry
Use a protractor, straight edge, ruler, or a drawing program to sketch the figures for the problems in this unit.

1) Find a rectangular doorway in your house. Sketch the top and the sides on paper. What angle is formed by the top and one side?

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2) How could the lines formed by the two sides of the doorway be described in terms of a geometric figure?

3) How could the lines formed by the top of the doorway and the side of the doorway be described in terms of a geometric figure?

4) Look around the room where you are working. Find and describe an example of the following: (a) intersecting lines, (b) an obtuse angle, and (c) an acute angle. If you do not find an example in your room, describe where you might find one and what the example is.

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5) What geometric figure is shown below? What is the name of this figure?

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6) What geometric figure is shown below? What is the name of this figure?

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7) What is the measure of this angle?

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8) What kind of angle is shown in the previous problem?

9) Draw a 20-degree angle on paper. This angle is what type of angle?

10) Draw a 45-degree angle on paper. This angle is what type of angle?

11) Draw a 135-degree angle on paper. This angle is what type of angle?

12) Draw a 175-degree angle on paper. This angle is what type of angle?

The figure shown below will be used in the next three problems. Parallel lines (k and t) are cut by a transversal (m). The eight non-overlapping angles that are formed by the transversal and the parallel lines are named by numbers.

13) Name four angles that are congruent.

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14) Name two angles that are supplementary.

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15) Name a pair of alternate interior angles.

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16) Draw two lines on paper that are perpendicular to each other. Label each right angle in the figure with a number. How many right angles are in the figure?

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Review

17) Evaluate.

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18) Evaluate.

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19) Evaluate.

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20) Evaluate.

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21) Evaluate.

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22) Find the quotient.

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23) Find the quotient.

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24) Find the product.

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25) Find the product.

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26) Solve for “x”.

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27) Solve for “x”.

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28) Solve for “x”.

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29) Solve for “x”.

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30) What is 20% of 60?

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31) Evaluate.

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For the next two questions, select true or false.

32) Perpendicular lines create obtuse angles where they intersect.

33) Parallel lines cut by a transversal create vertical angles.

34) Find the sum.

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35) Find the difference.

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36) Find the product.

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37) Find the quotient.

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Refer to the following scenario to answer the next four true or false questions: A skate board originally costs $40 and is on sale for 10% off.

38) A skate board originally costs $40 and is on sale for 10% off. The discount may be figured as follows:

39) A skate board originally costs $40 and is on sale for 10% off. The discount may be figured as follows:

40) A skate board originally costs $40 and is on sale for 10% off. The discount may be figured as follows:

41) A skate board originally costs $40 and is on sale for 10% off. The discount may be figured as follows:

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