Central Dauphin School District / Overview



Chapter 2 quiz review If necessary, rewrite the statement in if-then form. Identify the hypothesis and conclusion. If 2x – 8 = 26, then x = 17. Hypothesis: 2x – 8 = 26Conclusion: x = 17 The grass is wet if it is raining. If it is raining, then the grass is wet.Hypothesis: It is rainingConclusion: the grass is wetWrite the converse of each statement and determine whether it is true or false. If it is false, give a counterexample. A number is divisible by 5 if it is divisible by 10.If a number is divisible by 5, then it is divisible by 10.False, the number 15 is divisible by 5 (15/5= 3) but not divisible by 10. If three points are coplanar, then they are collinear.If three points are collinear, then they are coplanar.False, through any three points not on the same line, there is exactly one plane, but three points on the same line could be in separate planes.State the definition, postulate or theorem that justifies the statement. If T is the midpoint of CE, then CT = TEMidpoint TheoremIf line s and line r intersect, then their intersection is point X.If two lines intersect, then their intersection is exactly one point. If T and V lie in plane P, then line TV lies in plane P. If two points lie in a plane, then the entire line containing those points lies in that plane.Determine if the conjecture is true or false, if it is false, give a counterexample. Given: Angles 1 and 2 are complementary.Conjecture: angles 1 and 2 form a right angleFalse, complementary means they have a sum of 90, but they do not have to be adjacent which is necessary to form a right angle. Given: points W, X, Y, and ZConjecture: points W, X, Y ,and Z are noncollinear2790825438150Y00Y2381250161925X00X1781175438150W00W2047875342265False, a line contains at least two points, it is possible for four points to be collinear. However all four points may not be in a single line. 2276475280035Z00Z6448425186055D00D Given: DE = EF6877050151765E00EConjecture: E is the midpoint of segment DF67151256032565913006032500False, E could be the midpoint, but we don’t know that D, E, and F are collinear so it could also be like this6772275179705006715125355606667500155575F00FWrite a two-column proof.If , then y =* Write the given and what you want to prove before you start the proof.Given: -2y + 3/2 = 83190875279399Prove: y = -13/4209550127635 Statements Reasons -2y + 3/2 = 8 1. Given-2y = 13/2 2. Subtraction Propertyy = -13/4 3. Division Property ................
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