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Pre-Algebra - Day Name___________________ Geometry Review Directions: Please complete the following. You will need to complete some of the following on a separate sheet of paper. Please use a straightedge for all drawings! You will also need a protractor to complete this. 1. Draw
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"HAT so that
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m"HAT =138° 2. Draw
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"FUN so that
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m"FUN = 42° 3. Considered together,
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"HAT and
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"FUN are what kind of angles? 4. Measure the following angles: a. b. c. 5. A B D C H E F G Using the correct notation: a. Identify 6 sets of skew line segments. b. Identify 6 sets of parallel lines.
6. Draw the following using a straightedge: a. Right triangle b. Scalene (non-right) triangle c. Isosceles triangle d. Obtuse triangle e. Acute triangle 7. In the following diagram, find the measures of the missing angles (without a compass!). Be sure to show your work.
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66° 11 10 7 9 3 2 8 1
4 6 5 8. Identify one set of each of the following: i. alternate interior angles ii. Supplementary angles iii. Alternate exterior angles iv. vertical angles v. corresponding angles
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45°
8. Draw the following with a straightedge:
Draw
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GB with point C somewhere on
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GB . Now draw
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HC so that
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"HCB is obtuse. Finally draw
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HM so that
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HM //
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GB . Make sure to label your diagram appropriately. 9. Identify the following polygons: 10. What is the sum of the angles of a 21-sided polygon? (Show work) 11. How many degrees does each angle of a regular 35-sided polygon have? (Show work) 12. Each angle of a regular polygon has a measure of 171 degrees. How many sides does the polygon have? (Show work) 13. What is the mathematical definition of a diagonal? 14. How many diagonals are in a dodecahedron? (Show work)