Long Branch Public Schools



Name: ____________________________________Chapter 2 RemediationBased on your chapter 2 pretest results, the following topics need to be practiced before your icWorksheets to CompleteCompletedApplying Theorems Linear and Vertical AnglesFinding the Nth Term ExpressionsDetermining PatternsConditional Statements and CounterexamplesApplying Deductive Reasoning (Proofs with Algebra)Applying Postulates (Points, Lines, Planes)Remediation is due on the day of your test.This will graded as a formative assessment worth 20 points.Applying Theorems (Linear and Vertical Angles)1. 2.3342640189865003.4.5.6.left59944000379095016256000428625247650007.Finding The Nth Term Expressions1.X123y38132. X123Y-5-3-13. X123Y4324. Determining Patterns Draw the next term in the pictures. b.c. 11430013271500 Find the missing term b. 1, 3, 4, 7, 11, _______, 29, 47, … Z, 0, X, 1, U, 2, Q, ______, L, 4, F, …. Find the next term in the sequence. b.c. Conditional Statements and CounterexamplesUnderline the hypothesis and box the conclusion. Write in if-then form.State the conclusion you can make. Write the converse, inverse, and contrapositive. If you are an athlete, then you are a soccer player. Counterexamples The sum of any two prime numbers is always even. If the product two numbers is positive, then the two numbers must be positive. All interesting lines form right angles.Applying Deductive Reasoning (Proofs with Algebra)Solve each equation with a reason for each step. 6x – 15 = 17 – 2x-2(x – 7) = 5x – 7 8 + 5(2x – 1) = 16x Applying Postulates (Points, Lines, Planes)Answer the following questions based on the diagram. What is the intersection of plane T and plane S? What is the intersection of line CB and line AF?2351405889000 What is the intersection of line UV and UT? What is the intersection of plane UTPQ and QPRS? What is the intersection of line VS and line SR? What is the intersection of plane UQSV and QPSR?AnswersApply Postulates (Points, Lines, Planes) Line BC2. Point B Point U2. Line PQ3. Point S4. Line SQApplying Deductive Reasoning (Proofs with Algebra) Add 2x, Add 17, Divide 8; x = 42. Distribute; add 2x; add 7, divide 7; x = 33. Distribute, combine like terms; subtract 10x; divide 6; x = ?Conditional Statements and Counterexamples Hypothesis: It was raining outside; Conclusion: There are clouds in the skyHypothesis: Two angles are vertical angles; Conclusions: The two angles are congruent. If I get an A on the final exam in that class, then I will get a B in History class.If an angle is right, then it measures 90o You can buy a new CD Converse: If you are a soccer player, then you are an athlete; Inverse: If you are not an athlete, then you are not a soccer player; Contrapositive: If you are not a soccer player, then you are not an athlete. Converse: If an intersection is a line, then two planes intersect; Inverse: If two planes do no intersect, then their intersection is not a line. Contrapositive: If an intersection is not a line, then two planes do not intersection. 39243002082803952874113030 2 + 5 = 72. -4(-3) = 123. Determining Patterns48101251993903009900247015257175275590a. b. c. a. 18b. 3a. 46b. -64c. -8Finding the Nth Term Expressions 5n – 22. 2n – 73. -1n + 54. 4n + 5Applying Theorems (Linear and Vertical Angles) x = 102. y = 343. x = 124. x = 495. x = 97/146. x = 57. x = 28 ................
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