Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

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What is the AA criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (AA similarity).

Front

What is the SAS criterion for triangle similarity?

Back

If two sides of one triangle are in proportion to two sides of another triangle, and the included angles are equal, then the triangles are similar (SAS similarity).

Front

What is the SSS criterion for triangle similarity?

Back

If the three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar (SSS similarity).

Front

How do you determine if triangles are similar using proportions?

Back

Set up a proportion comparing the lengths of corresponding sides. If the ratios are equal, the triangles are similar.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

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Back

Front

What does it mean if triangles are not similar?

Back

It means that their corresponding angles are not equal, and/or their corresponding sides are not in proportion.

Front

How can you use the concept of similar triangles in real life?

Back

Similar triangles can be used in various applications such as architecture, engineering, and art to create proportional designs.

Front

What is a practical example of using similar triangles?

Back

If you know the height of a tree and the length of its shadow, you can use similar triangles to find the height of a building by measuring its shadow.