5.3 Academic Practice With Similarity

12 Questions | Total Attempts: 156

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5.3 Academic Practice With Similarity

Assignment 5. 3 Mixed problems solving proportions.


Questions and Answers
  • 1. 
    1.  Which of the following triangles are always similar?
    • A. 

      Right Triangles

    • B. 

      Isosceles Triangles

    • C. 

      Equilateral Triangles

  • 2. 
    2.   The sides of a triangle are 5, 6 and 10.  Find the length of the longest side of a similar triangle whose shortest side is 15.
    • A. 

      10

    • B. 

      15

    • C. 

      18

    • D. 

      30

  • 3. 
    3. TRUE or FALSE:  Similar triangles are exactly the same shape and size.
    • A. 

      True

    • B. 

      False

  • 4. 
    4.     Given:  In the diagram, DE is parallel to AC,  BD = 4, DA =6  and EC = 8.  Find BC  to the nearest tenth.  
    • A. 

      3.2

    • B. 

      5.3

    • C. 

      8.3

  • 5. 
    5.     Given: In the diagram, DE is parallel to AC, BD = 4, DA=8, EC=9.  Find BC to the nearest tenth.
    • A. 

      3

    • B. 

      4.5

    • C. 

      13.5

    • D. 

      17

  • 6. 
    6.  Two ladders are leaned against a wall such that they make the same angle with the ground.  The 10' ladder reaches 8' up the wall.  How much further up the wall does the 18' ladder reach?
    • A. 

      4.5 ft

    • B. 

      6.4 ft

    • C. 

      14.4 ft

    • D. 

      22.4 ft

  • 7. 
    7.     At a certain time of the day, the shadow of a 5' boy is 8' long.  The shadow of a tree at this same time is 28' long.  How tall is the tree?
    • A. 

      8.5

    • B. 

      16

    • C. 

      17.5

    • D. 

      20

  • 8. 
    8.  Given:  Two regular polygons are similar.  One side of the larger polygon is 9 inches and one side of the smaller polygon is 6 inches.  What is their ratio of similitude (larger to smaller)?
    • A. 

      3:1

    • B. 

      2:3

    • C. 

      3:2

  • 9. 
    10.  In triangle ABC, angle A = 90º and angle B = 35º.  In triangle DEF, angle E = 35º and angle F = 55º. Are the triangles similar?
    • A. 

      Yes

    • B. 

      No

  • 10. 
    11.    Given angle A and angle A' are each 59º, find AC.
    • A. 

      8

    • B. 

      10

    • C. 

      12

    • D. 

      18

  • 11. 
    12.   Is triangle ABC similar to triangle ADE?
    • A. 

      Yes

    • B. 

      No

  • 12. 
    13.    As marked, by which method would it be possible to prove these triangles similar (if possible)?
    • A. 

      AA

    • B. 

      SSS

    • C. 

      SAS

    • D. 

      Not similar

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