5. Similarity and Transformations

Similarity Applications — Quiz

Test your understanding of similarity applications with 5 practice questions.

Practice Questions

Question 1

A map has a scale of $1:5000$. If a park is $$3 \text{ cm}$ long on the map, what is its actual length in meters?

Question 2

A model car is built with a scale of $1:24$. If the actual car is $4.8 \text{ meters} long, how long is the model car in centimeters?

Question 3

Two triangles are similar. The sides of the first triangle are $6 \text{ cm}$, $8 \text{ cm}$, and $10 \text{ cm}$. If the shortest side of the second triangle is $9 \text{ cm}$, what is the length of its longest side?

Question 4

A photograph is $10 \text{ cm}$ wide and $15 \text{ cm}$ long. If it is enlarged to be $20 \text{ cm}$ wide, what will be its new length?

Question 5

A building casts a shadow $40 \text{ meters}$ long. At the same time, a $2 \text{ meter}$ tall pole casts a shadow $5 \text{ meters}$ long. What is the height of the building?