1 Determine the lengths of similar figures. 2 Apply the relationships between lengths and areas, including the use of scale factors for similar shapes and their corresponding surface areas. 3 Calculate the volumes of similar solids using the relationship between their lengths. 4 Solve problems related to similarity and provide straightforward explanations, including demonstrating that two triangles are similar using geometric reasoning.

Quick explanation

1 Determine the lengths of similar figures. 2 Apply the relationships between lengths and areas, including the use of scale factors for similar shapes and their corresponding surface areas. 3 Calculate the volumes of similar solids using the relationship between their lengths. 4 Solve problems related to similarity and provide straightforward explanations, including demonstrating that two triangles are similar using geometric reasoning

• This point belongs to Similarity, especially Similarity outcomes.
• You need to be able to 1 Determine the lengths of similar figures. 2 Apply the relationships between lengths and areas, including the use of scale factors for similar shapes and their corresponding surface areas. 3 Calculate the volumes of similar solids using the relationship between their lengths. 4 Solve problems related to similarity and provide straightforward explanations, including demonstrating that two triangles are similar using geometric reasoning.
• The key ideas to know are Calculate, Determine, and Show.
• Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.