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. It creates angles that can be analyzed for relationships.

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 solve for x in equations involving parallel lines?

Back

Use the properties of angles formed by a transversal with parallel lines to set up equations based on angle relationships.

Front

What is the definition of proportional parts?

Back

Proportional parts refer to segments that maintain a constant ratio to each other, often seen in similar triangles.

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

How do you find the value of x in a proportional relationship?

Back

Set up a proportion equation based on the relationships given, and solve for x using cross-multiplication.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.