Triangle Similarity Flashcard

Front

What is the AA criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. 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

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. If the three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar.

Front

What is the similarity statement for triangles ΔMNL and ΔOPQ?

Back

ΔMNL ∼ ΔOPQ means that triangle MNL is similar to triangle OPQ.

Front

How can you determine if two triangles are similar using AA?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar by AA.

Front

What is the significance of corresponding sides in similar triangles?

Back

In similar triangles, corresponding sides are in proportion to each other.

Front

If ΔSQR ∼ ΔSPT, which sides correspond?

Back

The corresponding sides are SP and SR, QS and PT, PS and RS, TP and RQ.

Front

What is the definition of similar triangles?

Back

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

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

Can two triangles be similar if only one angle is known?

Back

No, at least two angles must be known to establish similarity using the AA criterion.