Proving Triangles Similar & Similar Triangles

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

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What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side similarity, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side similarity, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What is the criteria for two triangles to be similar by AA?

Back

Two triangles are similar by AA if two angles of one triangle are equal to two angles of another triangle.

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What is the criteria for two triangles to be similar by SSS?

Back

Two triangles are similar by SSS if the lengths of their corresponding sides are proportional.

Front

What is the criteria for two triangles to be similar by SAS?

Back

Two triangles are similar by SAS if two sides of one triangle are proportional to two sides of another triangle and the angles between those sides are equal.

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar by SAS.

Front

If two triangles have all three corresponding sides in proportion, what can be concluded?

Back

The triangles are similar by SSS.

Front

If two triangles have two angles equal and the third angle is also equal, what can be concluded?

Back

The triangles are similar by AA.

Front

What does it mean if two triangles are not similar?

Back

It means that the triangles do not have the same shape, and their corresponding angles and sides are not proportional.