3. Geometry
Similarity — Quiz
Test your understanding of similarity with 5 practice questions.
Practice Questions
Question 1
Given two similar triangles, $\triangle ABC$ and $\triangle DEF$. If the ratio of their corresponding sides is $3:4$, and the perimeter of $\triangle ABC$ is $27$ cm, what is the perimeter of $\triangle DEF?
Question 2
A rectangular prism has dimensions of length $10$ cm, width $5$ cm, and height $4$ cm. If a similar rectangular prism has a length of $15$ cm, what is its volume?
Question 3
Two similar triangles have areas of $64 \text{ cm}^2$ and $100 \text{ cm}^2$. If the shortest side of the smaller triangle is $8$ cm, what is the length of the shortest side of the larger triangle?
Question 4
A cylindrical container has a radius of $3$ cm and a height of $12$ cm. If a similar cylindrical container has a radius of $4.5$ cm, what is its surface area?
Question 5
A triangular field has sides of length $50$ m, $120$ m, and $130$ m. If a map represents this field with a scale factor of $1:1000, what is the area of the field on the map in square centimeters?