Similar Triangles SAS

Front

What does SAS stand for in the context of similar triangles?

Back

SAS stands for Side-Angle-Side, a criterion for triangle similarity.

Front

What is the SAS similarity criterion?

Back

If two triangles have one pair of corresponding sides that are in proportion and the included angles are equal, then the triangles are similar.

Front

How can you determine if triangles are similar using the SAS criterion?

Back

Check if two sides of one triangle are proportional to two sides of another triangle and the angle between those sides is equal.

Front

What is the AA similarity criterion?

Back

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

Front

What is the SSS similarity criterion?

Back

SSS stands for Side-Side-Side; if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Not necessarily; you also need to check the angles or use the SAS criterion.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Front

If triangle XYZ has sides 4, 6, and 8, and triangle PQR has sides 2, 3, and 4, are they similar?

Back

Yes, they are similar by SSS because the sides are in proportion (1:2).

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.