Parallel Lines & Proportional Parts/Parts of Similar Triangles

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 crosses at least two other lines. When it intersects parallel lines, it creates corresponding angles.

Front

Define corresponding angles.

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses two lines.

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

When two parallel lines are cut by a transversal, the corresponding angles are equal.

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

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

Back

If two triangles are similar, the lengths of their corresponding sides are proportional.

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.

Front

How do you find the length of a side in similar triangles?

Back

To find the length of a side in similar triangles, set up a proportion using the lengths of corresponding sides.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Front

What is the Side-Splitter Theorem?

Back

The Side-Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides into segments that are proportional.