Similarity Criteria

Front

What is the AA similarity criterion?

Back

The AA (Angle-Angle) similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does SSS similarity criterion stand for?

Back

SSS (Side-Side-Side) similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS similarity criterion?

Back

The SAS (Side-Angle-Side) similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

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 the other triangle.

Front

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

Back

The AA criterion is significant because it provides a quick way to establish similarity without needing to measure sides.

Front

Can triangles be similar if only one angle is known?

Back

No, at least two angles must be known to use the AA criterion for determining similarity.

Front

What is the relationship between similar triangles and their corresponding sides?

Back

In similar triangles, the lengths of corresponding sides are proportional.

Front

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

Back

Not necessarily; you must also check the angles. They are similar only if the corresponding angles are equal.

Front

What is the first step in using the SSS criterion?

Back

The first step is to measure the lengths of the corresponding sides of both triangles.

Front

What does it mean if two triangles are not similar?

Back

If two triangles are not similar, it means they do not have the same shape, and their corresponding angles and sides do not meet the criteria for similarity.