7.4 Practice: Parallel Lines and Proportional Parts

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart.

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

How do you find the length of a midsegment in a triangle?

Back

The length of a midsegment is half the length of the third side of the triangle.

Front

What is the relationship between proportional parts in similar triangles?

Back

In similar triangles, corresponding sides are proportional, meaning the ratios of their lengths are equal.

Front

If two triangles are similar, how can you find a missing side length?

Back

You can set up a proportion using the lengths of corresponding sides to solve for the missing length.

Front

What is 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

How do you solve for a variable in a proportion?

Back

Cross-multiply the terms in the proportion and then isolate the variable.

Front

What is the formula for finding the length of a segment in a triangle when given the lengths of other segments?

Back

Use the properties of similar triangles or the Triangle Proportionality Theorem to set up a proportion.

Front

What does it mean for segments to be proportional?

Back

Segments are proportional if the ratios of their lengths are equal.

Front

How can you determine if two triangles are similar?

Back

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