Download Name: Chapter 2 Remediation Based on your chapter 2 pretest

Name: ____________________________________
Chapter 2 Remediation
Based on your chapter 2 pretest results, the following topics need to be practiced before your assessment.
Topic
Worksheets to
Complete
Applying Theorems
Linear and Vertical
Angles
Finding the Nth
Term Expressions
Determining
Patterns
Conditional
Statements and
Counterexamples
Applying 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.
Completed
Applying Theorems (Linear and Vertical Angles)
1.
2.
3.
4.
5.
6.
7.
Finding The Nth Term Expressions
1.
X
y
1
3
2
8
3
13
1
-5
2
-3
3
-1
1
4
2
3
3
2
2.
X
Y
3.
X
Y
4.
Determining Patterns
1.
Draw the next term in the pictures.
a.
b.
c.
2.
Find the missing term
a.
1, 3, 4, 7, 11, _______, 29, 47, …
3.
a.
Find the next term in the sequence.
b.
b.
Z, 0, X, 1, U, 2, Q, ______, L, 4, F, ….
c.
Conditional Statements and Counterexamples
Underline the hypothesis and box the conclusion.
1.
2.
Write in if-then form.
State the conclusion you can make.
1.
Write the converse, inverse, and contrapositive.
1.
If you are an athlete, then you are a soccer player.
2.
Counterexamples
1.
The sum of any two prime numbers is always even.
2.
If the product two numbers is positive, then the two numbers must be positive.
3.
All interesting lines form right angles.
Applying Deductive Reasoning (Proofs with Algebra)
Solve each equation with a reason for each step.
1.
6x – 15 = 17 – 2x
2. -2(x – 7) = 5x – 7
3.
8 + 5(2x – 1) = 16x
Applying Postulates (Points, Lines, Planes)
Answer the following questions based on the diagram.
1.
What is the intersection of plane T and plane S?
2.
What is the intersection of line CB and line AF?
1.
What is the intersection of line UV and UT?
2.
What is the intersection of plane UTPQ and QPRS?
3.
What is the intersection of line VS and line SR?
4.
What is the intersection of plane UQSV and QPSR?
Answers
Apply Postulates (Points, Lines, Planes)
1.
1.
Line BC
Point U
2. Point B
2. Line PQ
3. Point S
4. Line SQ
Applying Deductive Reasoning (Proofs with Algebra)
1.
Add 2x, Add 17, Divide 8; x = 4
2. Distribute; add 2x; add 7, divide 7; x = 3
3. Distribute, combine like terms; subtract 10x; divide 6; x = ½
Conditional Statements and Counterexamples
1. Hypothesis: It was raining outside; Conclusion: There are clouds in the sky
2. Hypothesis: Two angles are vertical angles; Conclusions: The two angles are congruent.
a. If I get an A on the final exam in that class, then I will get a B in History class.
b. If an angle is right, then it measures 90o
1. You can buy a new CD
1. 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.
2. 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.
1. 2 + 5 = 7
2. -4(-3) = 12
3.
Determining Patterns
1. a.
2. a. 18
3. a. 46
b.
b. 3
b. -64
c.
c. -8
Finding the Nth Term Expressions
1.
5n – 2
2. 2n – 7
3. -1n + 5
4. 4n + 5
Applying Theorems (Linear and Vertical Angles)
1.
x = 10
6. x = 5
2. y = 34
7. x = 28
3. x = 12
4. x = 49
5. x = 97/14