Please use 3.14 for pi for all questions.
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Proportional Parts of Similar Triangles
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Refer to the figure and information given below to answer the next three questions.
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5) Refer to the figure and information shown below to answer the following: (a) Name an angle bisector. (b) Name an altitude. (c) Name a median. |
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Features of Right Triangles |
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Right Triangle Trigonometry |
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Refer to the information and triangle shown below to solve the next two problems. |
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10) What is the (a) sin K, (b) cos K, and (c) tan K? Round each answer to the nearest ten thousandth, if necessary. |
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16) Use the Law of Sines to solve triangle TUV. (a) What is the measure of angle V? (b) What is the length of TU? (c) What is the length of TV? Round the answers to nearest whole number, when necessary. |
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17) Use the law of cosines to solve the triangle. (a) What is the length of NM? (b) What is the measure of angle N? (c) What is the measure of angle M? Round the answers to nearest tenth, when necessary.
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Refer to the figure of circle P to answer the next two questions. |
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18) Arc JKM is a minor arc. |
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19) Arc KM is a minor arc. |
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20) Answer the following questions about circle H shown below: (a) What is the measure of arc EF? (b) What is the measure of arc EGF? (c) What is the measure of arc FG? |
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Refer to the figure of circle D shown below to answer the next two questions. |
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22) The measures of chords AC and AB are equal. |
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Inscribed Angles, Tangents, and Secants |
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25) In circle E, (a) identify a pair of congruent inscribed angles and (b) name the arc they intercept. |
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26) Quadrilateral LMNP is inscribed in circle Q. Arc ML measures 50 degrees and arc LP measures 118 degrees. (a) What is the measure of angle N? (b) What is the measure of angle L? (c) What is the sum of the measures of angles M and P? |
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28) In circle C, point D is a point of tangency between tangent AD and radius CD. (a) What is the length of AC? (b) What is the length of BC? (c) What is the length of AB?
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30) Answer the following questions about the figure below: (a) What is the measure of arc BE? (b) What is the measure of arc CD? (c) What is the value of “y”? |
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Special Segments and Equations of Circles |
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Polygons, Tessellations, and Area |
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40) For heptagon LMNOPQR, solve for “x” and then answer the following questions: (a) What is the value of “x”? (b) What is the measure of angle L? (c) What is the measure of angle N? |
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41) In the figure shown below, the shape shaded purple in the center is a regular hexagon. The other two shapes are parallelograms. (a) What is the sum of the angles in the hexagon? (b) What is the measure of one angle of the hexagon? (c) What is the measure of angle TUV? (b) What is the measure of angle UVS? |
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Applications of Polygons and Circles |
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47) Find the area of a regular dodecagon with a side measuring 8.6 millimeters, and then answer the following questions: (a) What is the perimeter of the dodecagon? (b) What is the length of the apothem? (c) What is the area of the dodecagon? Round the answers to the nearest tenth, when appropriate, and label all answers correctly. |
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50) Refer to the spinner below with a radius of 1 meter to answer the following questions. Answer the probability questions with simplified fractions and the odds questions with simplified ratios. (a) What is the probability of spinning a $500 reward? (b) What are the odds in favor of spinning a “Get Out of Jail Free”? (c) What is the probability of spinning a “free spin” or “lose turn”? (d) What are the odds against spinning a “free spin” or “lose turn”? |
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51) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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