Homework 5: 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 and have the same slope.

Front

What is the Transversal Line?

Back

A transversal line is a line that intersects two or more lines at different points, creating angles.

Front

What is the Corresponding Angles Postulate?

Back

When a transversal intersects two parallel lines, each pair of corresponding angles is equal.

Front

What is the Alternate Interior Angles Theorem?

Back

When a transversal intersects two parallel lines, each pair of alternate interior angles is equal.

Front

What is the Consecutive Interior Angles Theorem?

Back

When a transversal intersects two parallel lines, each pair of consecutive interior angles is supplementary (adds up to 180 degrees).

Front

How do you find the value of x in parallel lines problems?

Back

Set up equations based on the properties of angles formed by the transversal and solve for x.

Front

What is the definition of proportional parts?

Back

Proportional parts refer to segments that maintain a constant ratio to each other.

Front

How do you determine if two segments are proportional?

Back

Two segments are proportional if the ratio of their lengths is equal to the ratio of the lengths of another pair of segments.

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

What is the relationship between parallel lines and angles?

Back

Parallel lines cut by a transversal create specific angle relationships, such as equal corresponding angles and supplementary consecutive interior angles.