Similar Triangles Vocabulary and Key Concepts

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What are similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. They have equal corresponding angles and proportional corresponding sides.

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Key concept of similar triangles

Back

The key concept of similar triangles is that their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

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Vocabulary: Corresponding Angles

Back

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others.

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Vocabulary: Proportional Sides

Back

Proportional sides refer to the sides of similar triangles that have lengths in the same ratio.

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How to determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion. This can be determined using AA (Angle-Angle), SAS (Side-Angle-Side), or SSS (Side-Side-Side) similarity criteria.

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Vocabulary: Angle-Angle (AA) Criterion

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The Angle-Angle (AA) criterion states that two triangles are similar if two angles of one triangle are equal to two angles of another triangle.

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Application of similar triangles in real life

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Similar triangles are used in real life for indirect measurements, such as finding the height of a building or a tree using a shadow, or in map making and architecture.