Geometry Test Four - Inequalities and Indirect Proof

89 Responses | Created by youmils03 |

This will test your knowledge of inequalities and indirect proof. WARNING: THOSE WHO HAVE NOT TAKEN GEOMETRY OR ARE NOT IN GEOMETRY SHOULD NOT ANTICIPATE A HIGH SCORE ON THIS TEST.

  1. 1

    What is the Additive Property of Inequality?

  2. 2

    What is the Transitive Property of Inequality?

  3. 3

    Completely True or Not Necessarily True: If A = B + C and C > 0, then A > B.

  4. 4

    Which property of inequality is demonstrated in Question 3?

  5. 5

    In triangle ABC, point D lies on line BC but NOT on segment BC. Rather, it lies to the right of segment BC. If the measure of angle ACD = 80 degrees, which of the following is not true?

  6. 6

    Which of the following demonstrates the contrapositive statement "P > Q"?

  7. 7

    Which of the following is not a step of an indirect proof: "Given: Trapezoid PQRS with bases PQ and SR | Prove: Segments PQ and SR are not congruent"

  8. 8

    In triangle ABC, AB > AC. What can you deduce?

  9. 9

    In triangle ABC, the measure of angle A

  10. 10

    In triangle ABC, segment AC is perpendicular to segment CB. What can you deduce?

  11. 11

    Which of the following triangles is impossible to construct?

  12. 12

    There are two triangles, triangles ABC and DEF. Which of the following demonstrates the SAS Inequality Theorem?

  13. 13

    Refer to Question 12. Which of those answers demonstrates the SSS Inequality Theorem?

  14. 14

    Refer to Question 12. Which of those answers demonstrates the ASA Inequality Theorem?

  15. 15

    In triangle ABC, the measure of angle A = 68 degrees, the measure of angle B = 59 degrees, and the measure of angle C = 53 degrees. Which of the following is not true?

  16. 16

    In triangle ABC, AB = 5.9, BC = 6.1, and AC = 6.2. List the angles from shortest to largest.

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