Triangles and Parallel lines with Transversals

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. The sum of the interior angles of a triangle is always 180 degrees.

Front

Define parallel lines.

Back

Parallel lines are lines in a plane that do not meet; they are always the same distance apart and have the same slope.

Front

What is a transversal?

Back

A transversal is a line that crosses at least two other lines. When a transversal intersects parallel lines, it creates several angles.

Front

What are alternate interior angles?

Back

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

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on different parallel lines when cut by a transversal. They are equal when the lines are parallel.

Front

What are vertical angles?

Back

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

Front

If angle 1 is 65 degrees, what is the measure of angle 5 if they are corresponding angles?

Back

Angle 5 is also 65 degrees because corresponding angles are equal.

Front

If angle 3 is 60 degrees, what is the measure of angle 4 if they are alternate interior angles?

Back

Angle 4 is also 60 degrees because alternate interior angles are equal.

Front

How do you find the measure of an angle when given vertical angles?

Back

To find the measure of an angle using vertical angles, remember that vertical angles are equal. If one angle measures 37 degrees, the other angle will also measure 37 degrees.

Front

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

Back

When a transversal intersects parallel lines, it creates pairs of equal angles: alternate interior angles, corresponding angles, and consecutive interior angles that are supplementary.