MATHCP Geometry  - Unit 1: Points, Lines, Planes, and Angles
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Points and Lines


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

1) a location on a line

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2) has no width or length, but is represented by a straight edge mark

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3) a part of a line

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4) Use the figure below to explain the difference between line segment RS and line RS.

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5) Find an example of parallel lines in your home. Name the example and describe why you think the lines are parallel.

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6) Find an example of perpendicular lines in your home. Name the example and describe why you think the lines are perpendicular.

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

7) Name a point.

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8) Name a line.

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9) Name all points of intersection.

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10) Name a pair of parallel lines and justify why you think they are parallel.

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11) Name a pair of perpendicular lines.

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Collinear and Coplanar

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

12) points that line up in a straight line

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13) points that lie on the same plane

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14) Refer to the figure below and name three points that are collinear.

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15) Find an example of a plane in your home. Describe the example and why you think it is a plane.

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

16) Name the point of intersection between plane N and line m.

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17) Name a line that lies in plane N.

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18) Name a line that intersects plane N at one point.

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19)

In the figure below, line ST passes through plane N. What relationship exists between plane N and line TS?


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20) In the figure below, planes Q and P intersect each other. Name the figure that is created at the place of intersection between the two planes.

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Angles

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

21) the area within an angle

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22) the point in an angle where two rays meet

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23) two half-lines that join together to make a line

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24) the area outside an angle

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

25) Name all rays.

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

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27) If angle TUZ is a right angle, then angles TUP and PUZ are considered what type of angles, complementary or supplementary? 

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

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

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Measuring Angles

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

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

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

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32) 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.

33) 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.

34) What is an angle bisector?

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Angle Relationships

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

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

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36) angles that form a right angle

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37) a measurement tool used to draw arcs and circles

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38) opposite angles formed when two lines intersect

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39) an angle that measures 180 degrees

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Refer to the figure below for the next two problems.

40) If angle PUZ measures 30 degrees and angle PUT measures 60 degrees, then the two angles are considered to be what type of angles?

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41) 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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42) 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? (c) What is the measure of angle MKJ?

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43) Twice the measure of the supplement of an angle is 39 degrees less than five times the complement of the angle. What is the measure of the angle? (Hint: Let 180 – x represent the supplement and 90 – x represent the complement.)

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

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

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45) Name a pair of complementary angles.

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

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

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48) Name two adjacent angles.

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49) Name two angles that together are supplementary.

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

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