Triangle Similarity

Front

What is the similarity statement for the triangle pair ΔYZX and ΔNWE?

Back

ΔYZX~ΔNWE

Front

What does AA Similarity mean in the context of triangles?

Back

AA Similarity means that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are proportional.

Front

What is the SSS Similarity criterion for triangles?

Back

SSS Similarity states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

How can you determine if two triangles are similar using angle measures?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA criterion).

Front

What is the relationship between the ratios of the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

What is the importance of the AA criterion in triangle similarity?

Back

The AA criterion allows us to conclude that two triangles are similar based solely on the equality of two angles.

Front

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

Back

No, two triangles cannot be similar if only one pair of angles is equal; at least two pairs of angles must be equal.

Front

What does it mean for triangles to be congruent?

Back

Congruent triangles are triangles that are identical in shape and size; all corresponding sides and angles are equal.