Geometry Test Five - Ratio, Proportion, and Similar Polygons

302 Responses | Created by youmils03 |

This will test your knowledge of ratio, proportion, and similar polygons. There are 18 questions. 18 is an A+. 17 is an A. 16 is a B+. 15 is a B. 14 is a C+. 13 is a C-. 12 is a D. 11 is a D-. Anything below 11 is not a passing score. WARNING: Those who have not taken Geometry or who are not currently in Geometry should NOT anticipate a high score on this test.

  1. 1

    What is 9/27 in simplest form?

  2. 2

    ABCD is a parallelogram. BC = 10 and CD = 12. Find the ratio of DA to AB in simplest form.

  3. 3

    All of the following are correct properties of proportion except one of them. Which one is NOT a correct property of proportion?

  4. 4

    Triangle ABC is similar to triangle XYZ. Segment AB is proportional to segment _.

  5. 5

    Triangle ABC is similar to triangle XYZ. Angle Z is congruent to angle _.

  6. 6

    Triangle ABC is similar to triangle XYZ. If AC = 10 and XZ = 5, what is the scale factor of triangle ABC to triangle XYZ?

  7. 7

    Triangle ABC is similar to triangle XYZ. If AB = 7, BC = 9, and YZ = 27, find XY.

  8. 8

    Which of the following postulates or theorems can prove two triangles similar?

  9. 9

    In triangles ABC and XYZ, angle B is congruent to angle Y and angle C is congruent to angle Z. If AB = 20, BC = 10, and YZ = 25, find XY.

  10. 10

    In triangle ABC, AB/XY = AC/XZ, and angle C is congruent to angle Z. If AB = 10, AC = 18, and XY = 45, find XZ.

  11. 11

    In triangles ABC and XYZ, AB/XY = BC/YZ = AC/XZ. Must the two triangles be similar? If so, how?

  12. 12

    Jim is 6 feet tall. The tower next to him is 120 feet high, and it casts a 60-foot-long shadow. Assuming that Jim's and the tower's shadows will be proportional, how long is Jim's shadow when standing

  13. 13

    Triangle ABC is similar to triangle XYZ. If AB = XY, then triangle ABC is _______ to triangle XYZ.

  14. 14

    In triangle ABC, segment DE is parallel to side BC. BD/DA = _/_.

  15. 15

    Which postulate, theorem, definition, or property justifies your answer to #14?

  16. 16

    Three parallel lines, lines AB, CD, and EF, are cut by two transversals, lines AE and BF. If AC = 20, CE = 15, and BD = 16, find BF.

  17. 17

    In triangle FDE, segment DG bisects angle FDE. If GF = 10, GE, 15, and DE = 18, find FD.

  18. 18

    Which postulate, property, theorem, or definition justifies your answer to #17?

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