Flashcard 4.5-4.6

Front

The Side-Side-Side Similarity (SSS ~) Theorem states if the corresponding sides of two triangles are _____________________, then the triangles are _________________

Back

proportional (same ratio); similar

Front

The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________

Back

congruent; similar

Front

The triangles are similar by... (given sides are proportional)

Back

SAS

Front

The triangles are similar by... (given two angles are congruent)

Back

AA

Front

The triangles are similar by... (given corresponding sides are proportional)

Back

SSS

Front

What does the SSS ~ Theorem state?

Back

If the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What does the AA ~ Theorem state?

Back

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

Front

What is the SAS similarity criterion?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

Provide an example of triangles that are similar by AA.

Back

Two triangles with angles measuring 30°, 60°, and 90° are similar to each other.