Questions

Angles

Write the term that matches the given description for the first five questions.

1) two rays sharing a common point

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2) the area within an angle

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3) the point in an angle where two rays meet

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4) two half lines that join together to make a line

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5) the area outside an angle

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Refer to the figure below for the next five questions.

6) Name three rays.

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7) Name three angles.

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8) Name a point that lies in the interior of angle TUZ.

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9) Name a point that lies in the exterior of angle TUZ.

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10) Name the opposite rays shown in the figure below.

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Measuring Angles

Write the term that matches the given description for the next three questions.

11) a unit of rotation around a point that may be used to measure angles

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12) a mathematical statement that is based on the fundamentals of mathematical belief and assumed to be true

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13) a measurement tool used to measure angles in degrees

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14) Use a protractor and draw an obtuse angle. Name it. State the name of the angle and its measure.

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Angle Constructions

Activity: Use a compass to construct an angle equal in measure to the obtuse angle you drew in the previous problem.

15) Give an example of why it might be better to use a compass to construct an angle equal in measure to another angle rather than using a protractor.

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Activity: Use a compass and bisect the angle you just constructed.

16) What is an angle bisector?

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Angle Relationships

Write the term that matches the given description for the next eight questions.

17) two angles that total 180 degrees

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18) a portion of a circle

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19) measures 90 degrees

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20) a pair of adjacent angles whose sum form a straight line

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21) angles that form a right angle

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22) a measurement tool used to draw arcs and circles

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23) opposite angles formed when two lines intersect

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24) an angle that measures 180 degrees

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25) What is the difference between a right angle and a straight angle?

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Refer to the figure below for the next two problems.

26) Using the Angle Addition Postulate, complete this statement: The measurement of angle TUP + the measurement of angle PUZ = the measurement of ________________.

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27) Fill in the blank: if angle PUZ measures 30 degrees and angle PUT measures 60 degrees, then the pair of angles would be called ____________ angles.

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28) Refer to the figure below to answer the following questions: (a) What is the value of “x”? (b) What is the measure of angle MKL?

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29) Two angles are a linear pair. One angle is 8 times as large as the other. What is the measure of each of the angles?

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Refer to the figure below to answer the next seven questions.

30) Name a pair of obtuse angles that have the same measure.

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31) Name a pair of complementary angles.

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32) Name a linear pair of angles in which neither measures 90 degrees.

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33) Name a pair of congruent segments (red hash marks represent congruency).

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34) Name two adjacent angles.

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35) Name two angles that together are supplementary.

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36) Name two non-adjacent angles that are complementary.

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