Transversals with Algebra

Front

What are transversals in geometry?

Back

Transversals are lines that intersect two or more other lines at distinct points.

Front

What is the relationship between parallel lines and transversals?

Back

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

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 are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two lines and on opposite sides of a transversal.

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that lie outside two lines and on opposite sides of a transversal.

Front

If two parallel lines are cut by a transversal, what can be said about the corresponding angles?

Back

The corresponding angles are equal.

Front

If two parallel lines are cut by a transversal, what can be said about the alternate interior angles?

Back

The alternate interior angles are equal.

Front

If two parallel lines are cut by a transversal, what can be said about the alternate exterior angles?

Back

The alternate exterior angles are equal.

Front

How do you find the value of x in angle relationships formed by transversals?

Back

Set up equations based on the relationships (e.g., corresponding, alternate interior) and solve for x.

Front

Example: If angle 1 = 3x + 5 and angle 2 = 2x + 20, and they are corresponding angles, find x.

Back

Set 3x + 5 = 2x + 20. Solving gives x = 15.