12-6 Triangle Proportionality Practice

Front

What is the Triangle Proportionality Theorem?

Back

If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

Back

The ratios of the lengths of corresponding sides are equal.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you find the missing length in a proportional triangle?

Back

Set up a proportion using the known lengths and solve for the unknown length.

Front

What is the formula for finding the length of a side in a triangle using proportions?

Back

Front

What is the significance of parallel lines in triangle proportionality?

Back

Parallel lines create similar triangles, allowing the use of proportional relationships.

Front

Back

Front

What is the first step in solving a triangle proportionality problem?

Back

Identify the corresponding sides and set up a proportion.

Front

How can you prove that two segments are proportional?

Back

By showing that the ratios of the lengths of the segments are equal.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.