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Triangle similarity

Mathematics — first biennium · Lesson

Biennium · Common core

Triangle similarity

Similar triangles have the same shape: corresponding angles are equal and corresponding sides proportional. Similarity does not imply equal size.

Key idea
Formula matematica
Similar example
Formula matematica

Prerequisites: Thales and triangles

Goal: Recognize similarity criteria and use a consistent scale factor.

What you need to know before the exercises

In this lesson: Recognize similarity criteria and use a consistent scale factor.

How to proceed: Always identify corresponding sides; then keep the same scale ratio for every length.

You can already assume: Thales and triangles.

Try it now

Recognize a similarity criterion and use the scale factor.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

Always identify corresponding sides; then keep the same scale ratio for every length.

Data / situation: Two triangles are similar by the SAS criterion. One side changes from 3 to 12.

Your competency map

What you need to know for Triangle similarity

ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.

Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

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