Chapter 6.5 SSS SAS similar 2024

Front

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, then 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 proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

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, then the triangles are similar.

Front

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

Back

To determine if two triangles are similar using SSS, check if the ratios of the lengths of corresponding sides are equal.

Front

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

Back

To determine if two triangles are similar using SAS, check if two sides of one triangle are proportional to two sides of another triangle and the angles between those sides are equal.

Front

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

Back

To determine if two triangles are similar using AA, check if two angles of one triangle are equal to two angles of another triangle.

Front

What is the criteria for triangles to be considered not similar?

Back

Triangles are considered not similar if none of the criteria for SSS, SAS, or AA are met.

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 the SAS criterion.

Front

If two triangles have two angles equal, what can be concluded?

Back

The triangles are similar by the AA criterion.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.