# 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 .