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For the next three problems calculate the slope. Express the answers as a fraction in simplified form. |
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8) Which of the following statements is true about the two fractions given below? |
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9) Calculate the slope of a line that contains the following points: (5,–7) and (8,–7), and then draw the line. What is the slope and type of line? |
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10) Calculate the slope of a line that contains the following points: (6, –2) and (6, 4), and then draw the line. What is the slope and type of line? |
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For the next three problems, graph the point on graph paper in an x-y plane; and then, count out the rise/run of the given slope to determine a second point on the line. |
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For the next four problems, determine the type of slope of the line displayed in the grid. |
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14) This line has what kind of slope? |
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15) This line has what kind of slope? |
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16) This line has what kind of slope? |
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17) This line has what kind of slope? |
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Slopes of Parallel and Perpendicular Lines |
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Complete the next two questions by filling in the blanks. |
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20) What is true about the slopes of parallel lines? |
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21) What is true about the slopes of perpendicular lines? |
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22) True or False. Perpendicular lines have opposite reciprocal slopes. |
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23) Which statement best describes the two given lines? |
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24) Which statement best describes the two given lines? |
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Constructions of Angles and Parallel Lines |
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Activity: Print out the angle and ray below. Construct angle CAB on ray A, so that it is congruent to angle GFK. Use a compass to make the construction and follow the steps in the unit area link to “Constructions of Angles and Parallel Lines”. |
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Theorems about Parallel Lines |
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32) Copy or print Theorem 11-C and complete the proof by filling in the blanks. State the answers by giving the number of the statement or reason, and then the answer. |
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4000 character(s) left Your answer is too long. |
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Attachments |
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Refer to the figure below to answer the next two questions. |
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34) What theorem supports the following statement? |
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35) What theorem supports the following statement? |
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36) According to theorem 11-D, if line “t” is perpendicular to line “v” and angle 9 measures 90 degrees, then line “v” is parallel to what line? |
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Constructions with Perpendicular Lines |
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Activity: Print out the figure below and then use a compass to construct a perpendicular bisector of the given line. |
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38) True or False? In the previous construction, there is exactly one point above the segment TV that can be used to construct the perpendicular line? |
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Activity: Print out the figure below and then use a compass to construct a perpendicular line from point Z to segment KL. |
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39) True or False? In the previous construction, there is exactly one line that can be drawn through point Z and perpendicular to segment KL. |
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Distance between a Point and a Line |
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40) In geometry, which line segment represents the distance between point P and line AE? |
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41) Select the term that completes the following statement: The distance from a point which is not on a line and a line is the length of a line segment that is _______________ from the point to the line. |
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43) 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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