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Home > AC > Chapter 6 > Lesson 6.2.4 > Problem 6-74

6-74.

Identify the hypothesis and conclusion for each of the following statements. Then decide if the statement is true or false. Justify your decision. You may want to review the meanings of hypothesis and conclusion from problem 6-31.

  1. If , then the point is a solution.

  2. If Figure 2 of a tile pattern has tiles and Figure 4 of the same pattern has tiles, then the pattern grows by tiles each figure.

  3. If , then .

Hypothesis:

Conclusion: is a solution

Check to see if the conclusion is true by plugging in the points into the original equation.

Add tiles to Figure 2 to find figure three. Repeat the process to find Figure 4.
Does the number of tiles you found for Figure 4 match the number that the problem says there should be?

Hypothesis:
Conclusion:

Check by making a generic rectangle.
Does ?