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Worksheet: Solving Problems Using the Proportions of Similar Polygons

Q1:

In the figure, given that the two triangles are similar, work out the value of .

  • A
  • B
  • C
  • D
  • E

Q2:

Given that the rectangles shown are similar, what is ?

Q3:

If is similar to , what is the length of ?

Q4:

Given that the two given polygons are similar, determine the value of .

Q5:

If , find the value of .

Q6:

Given that these two triangular prisms are similar, find the value of .

Q7:

Given that triangles and are similar, work out the value of .

  • A
  • B
  • C
  • D
  • E

Q8:

Given that , find the value of .

Q9:

Given that the two polygons are similar, find the value of .

Q10:

Given that the two polygons are similar, find the value of .

Q11:

Given that , find the values of and .

  • A,
  • B,
  • C,
  • D,
  • E,

Q12:

Given that , determine .

  • A
  • B
  • C
  • D

Q13:

Given that is similar to , find the values of and .

  • A,
  • B,
  • C,
  • D,

Q14:

Triangles and in the given figure are similar. Work out the value of .

Q15:

These two shapes are similar, and their areas and are given. Find the value of .