2.1 Review Worksheet

2.1.1 Using Inductive Reasoning to Make Conjectures Find the next item in each pattern. 1. 8 a . m . , 11 a . m . , 2 p . m . , ... 2. 75, 64, 53, ...

3. △ , □, ⬠ , …

Complete each conjecture. 4. A rule in terms of n for the sum of the first n even positive integers is ? .

5. The number of nonoverlapping segments formed by n collinear points is ? .

6. About 5% of the students at Lubbock High School usually participate in the robotics competition. There are 526 students in the school this year. Make a conjecture about the number of students who will participate in the robotics competition this year.

Show that each conjecture is false by finding a counterexample. 7. If 1 − y > 0, then 0 < y < 1.

8. For any real number x , x 3 ≥ x 2 .

9. Every pair of supplementary angles includes one obtuse angle.

2.1.2 Conditional Statements Identify the hypothesis and conclusion of each conditional. 10. If an animal is a tabby, then it is a cat.

11. Four angles are formed if two lines intersect.

12. If 8 ounces of cereal cost $2.99, then 16 ounces of cereal cost $5.98.

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