Triangle Similarity Practice

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the property of two triangles having the same shape but possibly different sizes. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

What does AA Similarity stand for?

Back

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

Front

What does SSS Similarity stand for?

Back

SSS Similarity stands for Side-Side-Side Similarity. It states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What does SAS Similarity stand for?

Back

SAS Similarity stands for Side-Angle-Side Similarity. It states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

How can you prove two triangles are similar using AA?

Back

To prove two triangles are similar using AA, you need to show that two angles of one triangle are equal to two angles of another triangle.

Front

How can you prove two triangles are similar using SSS?

Back

To prove two triangles are similar using SSS, you need to show that the lengths of the corresponding sides of the two triangles are in proportion.

Front

How can you prove two triangles are similar using SAS?

Back

To prove two triangles are similar using SAS, you need to show that two sides of one triangle are proportional to two sides of another triangle and that the included angles are equal.

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what similarity criterion applies?

Back

SAS Similarity applies.

Front

If two triangles have all three angles equal, what can be said about the triangles?

Back

The triangles are similar by AA Similarity.

Front

If two triangles have their corresponding sides in the ratio 2:3, what can be concluded?

Back

The triangles are similar by SSS Similarity.