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 does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. If the corresponding sides of two triangles are in proportion, the triangles are similar.

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How can you determine if two triangles are similar using AA?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar by the AA criterion.

Front

How can you determine if two triangles are similar using SAS?

Back

If two sides of one triangle are proportional to two sides of another triangle and the angle between those sides is equal, then the triangles are similar by the SAS criterion.

Front

How can you determine if two triangles are similar using SSS?

Back

If the ratios of the lengths of corresponding sides of two triangles are equal, then the triangles are similar by the SSS criterion.

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What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

Can two triangles be similar if they are not congruent?

Back

Yes, two triangles can be similar without being congruent. They can have the same shape but different sizes.