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 does it mean for triangles to be similar?

Back

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

Front

What is the Angle-Angle (AA) similarity criterion?

Back

The AA similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

The SSS similarity criterion states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

The SAS similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

How do you find the value of x in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides of the similar triangles and solve for x.

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

If QS is an angle bisector, how do you find the lengths of the segments it creates?

Back

Use the Angle Bisector Theorem, which states that the ratio of the lengths of the two segments created by the angle bisector is equal to the ratio of the lengths of the other two sides of the triangle.

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

What is the definition of proportional parts?

Back

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