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

Define similar triangles.

Back

Triangles that 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 formula for finding the length of a side in similar triangles?

Back

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if: 1) Their corresponding angles are equal, or 2) The lengths of their corresponding sides are proportional.

Front

What does it mean for two lines to be parallel in the context of triangles?

Back

Two lines are parallel if they never intersect and are equidistant from each other; in triangles, this affects the proportionality of the sides.

Front

Back

Lines HJ and KL are parallel.

Front

What is the significance of the transversal in triangle proportionality?

Back

A transversal intersects two or more lines, creating angles and segments that can be used to establish proportional relationships.

Front

How do you find the missing length in a triangle using proportions?

Back

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

Front

What is the relationship between the segments created by a transversal in parallel lines?

Back

The segments are proportional to each other, allowing for the use of ratios to find missing lengths.

Front

If a triangle has sides of lengths 3, 4, and 5, what is the ratio of the sides?

Back

The ratio of the sides is 3:4:5.