Triangle Similarity Theorems

Front

What is the Side-Angle-Side Similarity (SAS ~) Theorem?

Back

The SAS ~ Theorem states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, 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

Write the proportion to find x if the triangles are similar: 15/6 = ?/25

Back

Front

Which proportion is correct for solving for x in the equation: 5x + 5 / 16 = 35 / 28?

Back

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

Front

What is the definition of proportional sides in similar triangles?

Back

Proportional sides in similar triangles mean that the ratios of the lengths of corresponding sides are equal.

Front

How do you determine if two triangles are similar using the Angle-Angle (AA) Criterion?

Back

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

Front

What is the definition of the Triangle Proportionality Theorem?

Back

The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

Write a proportion to find the length of x if the triangles are similar: x/10 = 15/30.

Back

Front

What is the definition of the corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are angles that are in the same relative position in each triangle.