2. 5y = -20 implies y = -4. Hypothesis: Conclusion: 3. If 4x - 1 = 11, then x = 3. Hypothesis: Conclusion: 4. If RS = TW, then TW = RS. Hypothesis: Conclusion: 5. If AB = CD, CD = EF, and EF = 23, then AB = 23. Hypothesis: Conclusion: 6. If 2x + y = 70 and y = 3x, then 2x + 3x = 70. Hypothesis: Conclusion: 7. If AB _ CD and CD _ EF, then AB = EF. Hypothesis: Conclusion: 8. If = = 10, then z = 50. Hypothesis: Conclusion: 9. If M is the midpoint of AB, then AM _ MB. Hypothesis: Conclusion: 10. If point E lies on the interior of ZVGA, then myVGE + mzAGE = mzVGA Hypothesis: Conclusion:Activity 3 A. Ifs and Then's... Directions: Identify the hypothesis and the conclusion in the following items. 1. If a triangle is equiangular, then the angles are congruent. Hypothesis: Conclusion:Example 2. A polygon with four sides is a quadrilateral. Hypothesis: a polygon has four sides. Conclusion: It [the polygon] is a quadrilateral. Ifthen Statement: If a polygon has four sides, then it is a quadrilateral. Example 3. All congruent segments have the same length. Hypothesis: Segments are congruent. Conclusion: They [the segrnents| have the some length. Ifthen Statement: If segments are oongn'uent+ then they have the same length. Example 4. m angles are supplementary if they are a linear pair. Hypothesis: 'I'wo angles are a linear pair. Conclusion: They [the two angles] are supplementary. If then Statement: If two angles are a linear pair, then they are supplementary. Example 5. Opposite sides of a rectangle are parallel. Hypothesis: The sides of a rectangle are opposite. Conclusion: They [sides] are parallel. if- then Statement: If sides of a rectangle are opposite, then they are parallel. Transforming a Statement into an Equivalent If - Then Statement Sometimes, you encounter conditional statements that are not written in the \"if then\" form. To transform a given statement to an if then statement, we need to identify rst the hypothesis and the conclusion. Iwhen you rewrite the statement in iIthen form, you may need to reward the hypothesis or coneiusion. In some cases, a statement does not present the hypothesis and the conclusion right away. like that of the theorems. For cases like these, we need to have a deeper understanding of the statements we are referring to. Example 1. Two angles with the same measure are congruent. Hypothesis: "Plato angles have the same measure. Conclusion: They [the two angles] are congruent. Rewrite the statement by placing \"it\" before the hypothesis and \"then\" before the conclusion. Ifthen Statement: If two angles have the some measure. then they are congruent