Green Bridge Learning Resource For Similarity

Overview

Two shapes are similar when one is an exact enlargement of the other: same shape, different size. That single relationship lets you find missing lengths in maps, models and photographs, and (at Extended) connect the areas and volumes of similar figures.

In this lesson you will calculate lengths in similar shapes using the scale factor, and (at Extended) use the relationships between the lengths, areas and volumes of similar figures to solve problems.

Lesson Evaluation

Congratulations on completing the lesson on Similarity. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

Two similar triangles have corresponding sides 3 cm and 6 cm. The scale factor is: A. 2 B. 3 C. 9 D. 18 Answer: A
A 2 cm side in the small triangle corresponds to what length at scale factor 2? A. 1 cm B. 2 cm C. 4 cm D. 6 cm Answer: C
If lengths scale by factor 3, the area scales by: A. 3 B. 6 C. 9 D. 27 Answer: C
If lengths scale by factor 2, the volume scales by: A. 2 B. 4 C. 6 D. 8 Answer: D
In similar shapes, corresponding angles are: A. doubled B. halved C. equal D. supplementary Answer: C