Side Splitter Theorem

Start with the definition

The note on the Side Splitter Theorem gives a concise definition. It explains that a line parallel to one side of a triangle can intersect the other two sides and divide them proportionally. Read it first to see the relationship the other resources explore.

Next, look at the mind map Proportions/Side Splitter Theorem. It sets out the definition in a map format. The mind map Proportions/ Side Splitter Theorem also introduces proportions, making it a useful companion if you want to connect the idea of equal ratios with the theorem.

Move from maps to practice

After reading a definition, use the Side Splitter Theorem flashcards. They include a prompt about finding a missing angle and a statement of the theorem. Another flashcard deck on the theorem asks you to find parallel lines and apply the theorem. These prompts give you a way to move from recognizing the definition to thinking about a diagram.

Then try the Side Splitter quiz. Keep a mind map nearby so you can return to the definition as you work. Afterward, look again at the parts that were less familiar and compare them with the note or flashcards. You can also use the mind map on proportions and the Side Splitter Theorem that lists practice problems.

Connect the resources

This topic is part of the Mathematics unit Triangles, Congruence and Pythagoras' Theorem. Within the unit, the listed resources connect the theorem to proportional parts of triangles and parallel lines. The mind map Proportional Parts in Triangles and Parallel Lines offers another way into that connection.

Teachers can use the note, maps and flashcards as ready-made material when introducing or reviewing the topic. Choose a resource and explore it at your own pace.