111a - Parallel Lines and Proportional Parts Day 1

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 a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If CB / DM = AC / ?, what is the missing length if the answer is AD?

Back

AD is the length that makes the proportion true.

Front

What is the Cross-Multiplication Property?

Back

The Cross-Multiplication Property states that if a/b = c/d, then ad = bc.

Front

How do you find a missing length in a proportion?

Back

To find a missing length, set up a proportion and use cross-multiplication to solve for the unknown.

Front

What is the relationship between parallel lines and transversals?

Back

When a transversal crosses parallel lines, it creates corresponding angles that are equal and alternate interior angles that are equal.

Front

Define corresponding angles.

Back

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal.

Front

What is the significance of 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

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are in proportion.

Front

What is the formula for finding the length of a segment in a proportion?

Back

If a/b = c/d, then a*d = b*c, allowing you to solve for any missing segment.