Similiar 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.

Front

What is the AA similarity criterion?

Back

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

Front

What is the SSS similarity criterion?

Back

If the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS similarity criterion?

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.

Front

How do you determine if triangles are similar using angle measures?

Back

Check if two angles of one triangle are equal to two angles of another triangle.

Front

What is a scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Front

If triangle ABC is similar to triangle DEF, and the scale factor is 2, what is the relationship between their corresponding sides?

Back

The lengths of the sides of triangle ABC are twice the lengths of the corresponding sides of triangle DEF.

Front

What does it mean if two 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 find the scale factor between two similar triangles?

Back

Divide the length of a side of one triangle by the length of the corresponding side of the other triangle.

Front

If triangle GHI is similar to triangle JKL, and the length of side GH is 6 and side JK is 3, what is the scale factor?

Back