Similar Triangles

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

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, the triangles are similar.

Front

What is the criteria for two triangles to be similar?

Back

Two triangles are similar if they satisfy any of the following criteria: AA, SAS, or SSS.

Front

If two triangles have one angle of 60 degrees and another angle of 30 degrees, what can be said about their similarity?

Back

The triangles are similar by AA similarity since they have two angles that are equal.

Front

Can two triangles be similar if they have no equal angles?

Back

No, two triangles cannot be similar if they have no equal angles.

Front

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

Back

The corresponding sides of triangle ABC and triangle DEF are in proportion.

Front

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

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Front

If triangle XYZ has sides of lengths 3, 4, and 5, and triangle PQR has sides of lengths 6, 8, and 10, are they similar?

Back

Yes, triangle XYZ and triangle PQR are similar by SSS similarity since the sides are in proportion (1:2).

Front

What does it mean if two triangles are not similar?

Back

If two triangles are not similar, it means they do not satisfy any of the similarity criteria (AA, SAS, SSS).