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Geometry

Geometry. 2.1 – 2.4 Test Review. 10, 5, 2.5, 1.25, … What is the next number in this numeric pattern? 1.0 0 C. -2.25 D. .625. What is the next figure in this pattern?. Find the COUNTEREXAMPLE to disprove the c onjecture:

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Geometry

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  1. Geometry 2.1 – 2.4 Test Review

  2. 10, 5, 2.5, 1.25, … What is the next number in this numeric pattern? 1.0 0 C. -2.25 D. .625

  3. What is the next figure in this pattern?

  4. Find the COUNTEREXAMPLE to disprove the conjecture: If the quotient of two numbers is positive, then the two numbers must both be positive? 10 / 2 -10 / 2 10 / -2 -10 / -2

  5. Identify the Hypothesis in the following statement: “If the bell rings, then I will be rudely awakened.” Bell. The bell rings. Rude. I will be rudely awakened.

  6. Black bears live in North America: What is the Converse of this conditional statement? If a bear is black bear, then it lives in North America. If a bear lives in North America, then it is a black bear. If a bear is not a black bear, then it does not live in North America. If a bear does not live in North America, then it is not a black bear.

  7. Black bears live in North America: • What is the Inverse of this conditional statement? • If a bear is black bear, then it lives in North America. • If a bear lives in North America, then it is a black bear. • If a bear does not live in North America, then it is not a black bear. • If a bear is not a black bear, then it does not live in North America.

  8. Black bears live in North America: • What is the Contrapositive of this conditional statement? • If a bear is not a black bear, then it does not live in North America. • B. If a bear lives in North America, then it is a black bear. • C. If a bear does not live in North America, then it is not a black bear. • D. If a bear is black bear, then it lives in North America.

  9. Write the definition of complementary angles • as a biconditional statement: • If the sum of the measures of two angles is 90 degrees, then then angles are complementary. • B. If the angles are complementary, then the sum of the measures of the two angles is 90 degrees. • C. The angles are complementary if and only if the sum of the measures of the two angles is 90 degrees. • D. If and only the sum of the two angles is 90 degrees, then the angles are complementary.

  10. Let p be “the car is running” • Let q be “the key is in the ignition” • Which notation represents the statement: • “If the key is not in the ignition, then the car is not running” • p q • ~q  ~p • C. ~p  q • D. p  ~q

  11. Use the Law of Syllogism to write the statement • that followings from the pair of true statements: • If x = 3, then 2x = 6 • If 4x = 12, then x = 3 • If 4x = 12, then 2x = 6 • B. If 2x = 6, then 4x = 12 • C. x = 3 • D. None of the above

  12. Use the Law of Detachment to make the correct conclusion: • If Mr. Caslin pulled all of his hair out, then he is bald. • Mr. Caslin is bald. • Invalid • B. Mr. Caslin is not bald. • C. Mr. Caslin pulled all of his hair out. • D. Valid

  13. Fill in the following postulate: A plane contains at least _______________ points. 2 noncoplanar points. 3 noncoplanar points. 2 noncollinear points. 3 noncollinear points.

  14. What is a Postulate? • A statement that can be proven. • B. A rule accepted with proof. • C. A rule accepted without proof. • D. The thing after a Preulate.

  15. Which statement is true based on the Venn Diagram above? • If you are in Jazz Band, then you are a musician. • B. If you are in Jazz Band, then you are in Chorus. • C. If you are a musician, then you are in the Band. • D. If you are in the Band, then you are in the Jazz Band.

  16. Which diagram represents: (A  B)  C A A B A. B. B C C D. C. A B A B C C

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