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Test Review

Test Review. What is the measure of  S below?. Using the protractor below, what appears to be the measure of  ABC ?. A. B. C. In the diagram below,. is a straight line, B is a point on the line,. , and m  CBE =50 °. Find m ABD. ●. ●. E. D. 50°. ●. ●. A. B. C.

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Test Review

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  1. Test Review

  2. What is the measure of S below?

  3. Using the protractor below, what appears to be the measure of ABC? A B C

  4. In the diagram below, is a straight line, B is a point on the line, , and mCBE=50°. Find mABD. ● ● E D 50° ● ● A B C

  5. Which pair of angles X and Y are supplementary? • A) mX = 113° B) mX = 76° • mY = 67° mY = 14° • C) mX = 140° D) mX = 180° • mY = 190° mY = 180°

  6. What is the next term in the sequence?

  7. Which number serves as a counterexample to the statement below? All positive integers are divisible by 2 or 3. A) 100 B) 57 C) 30 D) 25

  8. What is the conclusion of the statement in the box below? If , then .

  9. What is the contrapositive of the statement below? If a triangle is isosceles, then it has two congruent sides.

  10. Put the statements below into logical order. • W: If blitz, then kerd. • X: If mot, then det. • Y: If kerd, then mot. • Z: If toc, then blitz.

  11. Which of the following best describes deductive reasoning? • using logic to draw conclusions based on accepted statements • accepting the meaning of a term without definition • defining mathematical terms to correspond with physical objects • inferring a general truth by examining a number of specific examples

  12. Four stores are located in the 1st Avenue Mall, as shown below. The Gift Shop is west of the Sports Shop. The Sports Shop is west of the Clothes Shop. The Bakery is east of the Clothes Shop.

  13. Write the following definition as a biconditional: An obtuse angle is an angle whose measure is greater than 90° but less than 180°.

  14. 1 3 2 • Complete the proof: Given: 1 and 2 are supplementary Prove: 1 and 3 are supplementary

  15. 2 3 1 • Complete the proof Given: 1 is a right angle Prove: 2 and 3 are complementary

  16. Find a counterexample that shows that the following conjecture is false: “If 1 and 2 are supplementary, then one of the angles is obtuse”?

  17. Write the following conditional statement as a biconditionalstatement • “If x3 = –1, then x = –1”

  18. D is between C and E. CE = 6x + 8, CD = 4x + 19, and DE = 39. Find CE. C E 4x+19 D 39  6x+8

  19. Find the measure of BOD. Then, classify the angle as acute, right, or obtuse. C D B A O

  20. 1 2 3 4 5 6 7 8 14 13 10 9 16 15 12 11 • Name thepairs of vertical angles.

  21. Given: A • What is this construction? • What is the first step in this construction?

  22. What angle would be complementary with a 17° angle?

  23. What is the slope of the line that contains the coordinate points (8, –3) and (–2, 7)?

  24. Mr. Miller has a 20-foot ladder, which he wants to reach 18 feet up the side of his house. To the nearest foot, how far from the base of the house should he place the ladder?

  25. What are the next three terms of the following sequence? • -7, -4.5, -2, 0.5, 3, … • What kind of reasoning was used to solve • question 22? (G.3D) • Inductive Reasoning • Deductive Reasoning

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