Similar Triangle Postulates

Front

What is the SSS Similarity Postulate?

Back

If the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What is the SAS Similarity Postulate?

Back

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

What does the AA Similarity Postulate state?

Back

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

Front

Are all congruent triangles similar?

Back

TRUE. All congruent triangles are similar because they have the same shape.

Front

If two triangles have sides of 3, 4, and 5 and 6, 8, and 10, are they similar?

Back

Yes, by the SSS Similarity Postulate.

Front

In the SAS Similarity Postulate, what does the 'A' stand for?

Back

Angle.

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 2:3, what does this mean?

Back

It means that for every 2 units in triangle ABC, there are 3 corresponding units in triangle DEF.

Front

Can two triangles be similar if only one pair of angles is equal?

Back

No, at least two pairs of angles must be equal for the triangles to be similar.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.