# Lesson Worksheet: Applications of Similar Polygons Mathematics

In this worksheet, we will practice using the properties of similar polygons to solve algebraic expressions and equations.

Q1:

If is similar to , what is the length of ? Q2:

Given that triangles and are similar, work out the value of . • A
• B
• C
• D
• E

Q3:

If , find the value of . Q4:

Given that , find the value of . Q5:

Given that the two polygons are similar, find the value of . Q6:

Given that the two given polygons are similar, determine the value of . Q7:

Given that the two polygons are similar, find the value of . Q8:

Given that , find the values of and . • A,
• B,
• C,
• D,
• E,

Q9:

Given that is similar to , find the values of and . • A,
• B,
• C,
• D,

Q10:

If , find the scale factor of similarity of to and the values of and . • Ascale factor, ,
• Bscale factor, ,
• Cscale factor, ,
• Dscale factor, ,
• Escale factor, ,

This lesson includes 17 additional questions and 216 additional question variations for subscribers.