Real Number Properties of Equality |
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For the first nine problems, refer to the chart of Real Number Properties of Equality in the unit area, and then state the property that matches the description. |
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For the next nine problems, select the property of equality that verifies the statement. |
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10) Which property verifies the statement? |
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11) Which property verifies the statement? |
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12) Which property verifies the statement? |
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13) Which property verifies the statement? |
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14) Which property verifies the statement? |
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15) Which property verifies the statement? |
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16) Which property verifies the statement? |
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17) Which property verifies the statement? |
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18) Which property verifies the statement? |
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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 the proof below on paper or print the picture (right-click, print picture), and then fill in the reasons. Refer to the proof to answer the next four questions. |
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19) What “property of equality” verifies Statement #2? (In other words, what property was applied to Statement #1 to get Statement #2?) |
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20) What “property of equality” verifies Statement #3? (In other words, what property was applied to Statement #2 to get Statement #3?) |
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21) What “property of equality” verifies Statement #4? (In other words, what property was applied to Statement #3 to get Statement #4?) |
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22) What “property of equality” verifies Statement #5? (In other words, what property was applied to Statement #4 to get Statement #5?) |
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Reflexive and Symmetric Properties |
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23) State the “reflexive property”. |
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4000 character(s) left Your answer is too long. |
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Refer to the figure below to answer the next four questions. |
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Refer to the figure below to answer the next four questions. |
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33) In words, describe the symmetric property as it applies to SEGMENTS. |
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4000 character(s) left Your answer is too long. |
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34) In words, describe the symmetric property as it applies to ANGLES. |
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4000 character(s) left Your answer is too long. |
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Transitive and Substitution Properties and Informal Proof |
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Refer to the transitive property to complete the next two questions. |
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The next problem is an informal proof of Theorem 6-A and how it applies to SEGMENTS. Fill in the blanks by choosing from the following phrases to complete the proof: “is congruent to”, “is equal to”, “AB”, “CD”, “EF”, “is not congruent to”, and “is not equal to”. Note: All phrases will not be used. |
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36) Since segment AB is congruent to segment CD, AB __________CD. Since segment CD is congruent to segment EF, EF __________CD. By substitution, AB is equal to __________. By definition of congruence, segment AB __________ segment EF. |
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4000 character(s) left Your answer is too long. |
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The next problem is an informal proof of Theorem 4-A and how it applies to ANGLES. Fill in the blanks by choosing from the following phrases to complete the proof: “is congruent to”, “is equal to”, “the measurement of angle 1”, “the measurement of angle 2”, “the measurement of angle 3”, “is not congruent to”, and “is not equal to”. Note: All phrases will not be used. |
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37) Since angle 1 is congruent to angle 2, the measurement of angle 1 __________ the measurement of angle 2. Since angle 2 is congruent to angle 3, the measurement of angle 3 __________ the measurement of angle 2. By substitution, the measurement of angle 1 is equal to __________. By definition of congruence, angle 1 __________ angle 3. |
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4000 character(s) left Your answer is too long. |
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38) Refer to the figure below to answer the following questions: (a) What is the value of “x”? (b) What is the measure of angle 1? (c) What is the measure of angle 2? (d) What is the measure of angle 3? |
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4000 character(s) left Your answer is too long. |
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39) 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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