11D Angles formed by Parallel Lines and a Transversal

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What are corresponding angles?

Back

Corresponding angles are the angles that are in the same position at each intersection where a straight line crosses two others. They are equal when the lines are parallel.

Front

What are alternate interior angles?

Back

Alternate interior angles are the pairs of angles on opposite sides of the transversal but inside the two lines. They are equal when the lines are parallel.

Front

What is a transversal?

Back

A transversal is a line that crosses at least two other lines. It creates various angles with those lines.

Front

If angle 2 = 60 degrees and angle 5 = (x + 25), what is the value of x?

Back

x = 35

Front

If angle 4 = x + 15 and angle 2 = 3x - 5, what is the value of x?

Back

x = 10

Front

What is the relationship between angles formed by parallel lines and a transversal?

Back

When two parallel lines are cut by a transversal, several pairs of angles are formed, including corresponding angles, alternate interior angles, and consecutive interior angles, which have specific relationships.

Front

What are consecutive interior angles?

Back

Consecutive interior angles are the pairs of angles on the same side of the transversal and inside the two lines. They are supplementary when the lines are parallel.

Front

How do you identify corresponding angles in a diagram?

Back

Look for angles that are in the same relative position at each intersection of the transversal with the parallel lines.

Front

What is the sum of the angles on a straight line?

Back

The sum of the angles on a straight line is 180 degrees.