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Similarity Test Review

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  • Solve for x.
    x=4
  • Determine if the triangles are similar. If yes, state the theorem and complete the similarity statement.
    Not Similar
  • Solve for x.
    x=10
  • Solve for x.
    x=11
  • Find the scale factor.
    k=5/9
  • Determine if the triangles are similar. If yes, state the theorem and complete the similarity statement.
    Yes, SAS Thm, Triangle PKM is similar to Triangle LQM
  • If ∆DEF~∆JKL, find KL .
    KL=45
  • 6) Rectangle ABCD ~ Rectangle EFGH, the perimeter of ABCD is 54 centimeters and the perimeter of EFGH is 36 centimeters. What is the scale factor of ABCD to EFGH?
    3/2
  • If ∆KLJ~∆VWU, find the value of x.
    x=17
  • Determine if the triangles are similar. If yes, state the theorem and complete the similarity statement.
    Yes, AA Thm, Triangle PAS is similar to Triangle FAC
  • A rectangle has a perimeter of 14 inches. A similar rectangle has a perimeter of 10 inches. If the length of the larger rectangle is 4 inches, what is the length of the smaller rectangle? Round to the nearest tenth.
    x=2.9 inches
  • Determine if the triangles are similar. If yes, state the theorem and complete the similarity statement.
    Yes, SSS Thn, Triangle RYN is similar to Triangle ADE
  • If ∆NML~∆SRL, find the value of x.
    x=5
  • If ∆NKF~∆LZF, find NF
    NF=25
  • Segment DF is an angle bisector. Solve for x.
    x=19
  • 32) Mei is standing next to a statue in the park. If Mei is 5 feet tall, her shadow is 3 feet long, and the statue’s shadow is 10.5 feet long, how tall is the statue?
    17.5 feet
  • 8) The Area of Figure A is 108cm2 and the area of Figure B is 768 cm2. If the side length of Figure A is 6cm, what is the corresponding side length of Figure B?
    x=16 cm
  • If ∆PQR~∆TSR, find SR.
    SR=29