Triangle Similarity

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.

Tags

CCSS.HSG.SRT.A.2

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are not similar?

Back

Two triangles are not similar if none of the AA~, SSS~, or SAS~ conditions are met.

Tags

CCSS.HSG.SRT.B.5

Front

If triangle A has angles of 30° and 60°, what can you say about triangle B if it has angles of 30° and 60°?

Back

Triangle B is similar to triangle A by AA~.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

Not necessarily; you need to check the angles or the third side ratio to confirm similarity.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the included angle in SAS~?

Back

The included angle must be equal for the triangles to be considered similar under SAS~.

Tags

CCSS.HSG.SRT.B.5

Front

If triangle A has sides of 4, 5, and 6, and triangle B has sides of 8, 10, and 12, are they similar?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between similar triangles and their areas?

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 A is similar to triangle B, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2