Geometry Test Six - Right Triangles

by: youmils03

This will test your knowledge of right triangles and complicated concepts with right triangles. You will be tested on the Pythagorean Theorem, special right triangles, converse of the Pythagorean Theorem, geometric mean, and basic trigonometry. 17 right is an A+. 16 is an A. 15 is a B+. 14 is a B-. 13 is a C. 12 is a C-. 11 is a D. Anything under 11 is a failing score. WARNING: Those who have not taken Geometry or are not currently in Geometry should NOT anticipate a high score on this test.

  1. 1

    What is the geometric mean of 5 and 20?

  2. 2

    In right triangle ABC, angle C is a right angle and segment CN is an altitude. Segment CN is the geometric mean between segments ___________.

  3. 3

    In triangle ABC, angle C is a right angle and segment CN is an altitude. Segment AC is the geometric mean between segments AN and __.

  4. 4

    In triangle ABC, angle C is a right angle and segment CN is an altitude. Angle ACN is congruent to angle __.

  5. 5

    In triangle ABC, angle C is a right angle, BC = 3, and AC = 4. Find AB.

  6. 6

    In triangle ABC, angle C is a right angle. If AB = 17 and BC = 8, find AC.

  7. 7

    Which postulate, property, theorem, or definition justifies your answers to #5 and #6?

  8. 8

    In triangle ABC, BC = 10, AB = 6, and BC = 8. Is triangle ABC right, obtuse, or acute?

  9. 9

    In triangle ABC, BC = 9, AB = 6, and BC = 8. Is triangle ABC right, obtuse, or acute?

  10. 10

    In triangle ABC, angle A is a right angle. AB = 6 and the measure of angle C = 45 degrees. Find BC.

  11. 11

    In triangle ABC, the measure of angle A = 30 degrees and the measure of angle B = 60 degrees. If AB = 16, find BC.

  12. 12

    In triangle ABC, the measure of angle A = 30 degrees and the measure of angle B = 60 degrees. If AB = 16, find AC.

  13. 13

    What is the definition of "sine"?

  14. 14

    What is the definition of "cosine"?

  15. 15

    What is the definition of "tangent"?

  16. 16

    In triangle ABC, angle C is a right angle. The measure of angle A = 37 degrees, AB = 5, AC = y, and BC = x. Find the APPROXIMATE values of x and y.

  17. 17

    In triangle ABC, angle C is a right angle. The cosine of angle A = the ______ of angle B.

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