| Points, Lines, Planes, and Angles |
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| Refer to the figure below to answer the first four questions. |
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| 5) Print out the angle below, and then use a compass to bisect the angle. Name the bisecting ray, ray GT. List the steps you followed to make the construction. |
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| 6) True or False? Angles CGT and DGT (in the previous problem) are congruent. |
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| Refer to the figure below to answer the next seven questions. |
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| 13) Complete the statement shown below and also state the number of the postulate that supports this assumption. |
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| 15) Refer to the figure below to answer the following questions: (a) What kind of angles are angles TUP and PUZ? (b) What equation may be used to solve for “x”? (c) What is the value of “x”? (d) What is the measure of angle PUT? (e) What is the measure of angle ZUP? |
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| Line Segments and Coordinate Geometry |
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| Refer to the coordinate plane below to answer the next two questions. Each space in the grid represents one unit. Name all specified points and their ordered pairs for the given criteria. |
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| 16) Answer the following: (a) Name the points that lie on the x-axis. (b) Name the points that lie on the y-axis. |
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| 17) Answer the following: (a) Name the points that lie in Quadrant I. (b) Name the points that lie in Quadrant II. (c) Name the points that lie in Quadrant III. (d) Name the points that lie in Quadrant IV. |
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| Refer to the figure below to answer the next three questions. |
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| 21) What segment completes the statement below and what is the number of the postulate that supports the statement. |
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| 22) The four building blocks in geometry are UNDEFINED TERMS, DEFINED TERMS, POSTULATES, and THEOREMS. In the statements below, fill in the blanks with one of the four building blocks just mentioned. State the letter of the statement, and then state the answer. |
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| 24) What is the difference between a postulate and a theorem? |
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| Use the following statement to answer the next two questions: “If Logan is the daughter of Shari, then Sharon is Logan’s grandmother.” (Assume that Logan is the naturally born daughter of Shari and Shari is the naturally born daughter of Sharon.) |
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| 25) Write the converse of the statement, and then state whether it is true or false. If false, give a counterexample. |
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| 26) Write the contrapositive of the statement, and then state whether it is true or false. If false, give a counterexample. |
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| For the next four problems, select the property of equality that verifies the statement. |
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| 27) Which property verifies the statement? |
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| 28) Which property verifies the statement? |
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| 29) Which property verifies the statement? |
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| 30) Select the property of equality that verifies the step shown. |
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| The process of solving an equation is shown below. Each step of the process can be verified with a “property of equality”. Copy or print the proof shown below (right-click, print picture), and then fill in the reasons. Refer to the proof to answer the next three questions. |
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| 31) What property justifies statement #2? |
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| 32) What property justifies statement #3? |
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| 33) What property justifies statement #4? |
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| Properties and Proofs of Segments and Angles |
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| 34) Copy or print out the partial proof shown below, fill in the blanks, and then answer the following questions: (a) What is the reason for statement #2? (b) What is the reason for statement #3? (c) What is the reason for statement #6? |
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| 35) What is the difference between “surface area” and “volume”. |
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| For the next four problems solve and label the answers correctly. |
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| For the next two problems solve the formula for the given variable. |
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| 42) Write a true conditional statement (if-then) based on the Venn diagram. |
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| Angles, Transversals, and Parallel Lines |
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| Parallel and Perpendicular Lines |
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| 44) Fill in the blanks in the figure below. State the letter of the answer, and then the answer. |
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| 49) Are lines SU and UT perpendicular? State the slopes of each line and how you know they are or are not perpendicular. |
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| 50) Determine point H to be on line GH so that line GH is parallel to line EF. State the coordinates of point H and explain how you determined this answer. |
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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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| No offline activities found |
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