Similar Triangles

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Similar Triangles

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

      Right triangle

    • B. 

      Obtuse triangle

    • C. 

      Equilateral triangle

    • D. 

      Isoceles triangle

  • 2. 
    What is true of angles of similar triangles?
    • A. 

      Opposite angles are congruent.

    • B. 

      Corresponding angles are congurent.

    • C. 

      Corresponding angles are 90 degrees.

  • 3. 
    • A. 

      Three pairs of corresponding sides are proportional (SSS).

    • B. 

      Two pairs of corresponding sides are proportional and their included angles are equal (SAS).

    • C. 

      Two pairs of corresponding sides are proportional and one pair of non-included angles are equal (SSA).

    • D. 

      Two pairs of angles are equal (AA).

  • 4. 
    The sides of a triangle are 7, 10 and 12.  Find the length of the longest side of a similar triangle whose shortest side is 21.
    • A. 

      12

    • B. 

      21

    • C. 

      30

    • D. 

      36

  • 5. 
    In triangle ABC, angle A = 90º and angle B = 25º.  In triangle DEF, angle E = 25º and angle F = 65º.  Are the triangles similar?
    • A. 

      True

    • B. 

      False

  • 6. 
    Two triangles are similar.  If the ratio of the perimeters is 5 : 3, find the ratio of the corresponding sides.
    • A. 

      5 : 3

    • B. 

      15 : 9

    • C. 

      25 : 9

  • 7. 
    State the conditions of similarity for the following pair of triangles.
  • 8. 
    Find the unknown length x in the following figure.