Solve Problems -Parallel lines cut by a Transversal and Triangle

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 a transversal?

Back

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

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses two lines. They are equal when the lines are parallel.

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. They are equal when the lines are parallel.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What are congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

If angle 5 is 45 degrees, what is angle 2 if they are supplementary?

Back

Angle 2 is 135 degrees because 180 - 45 = 135.

Front

If angle 5 is 45 degrees, what is angle 8 if they are corresponding angles?

Back

Angle 8 is also 45 degrees because corresponding angles are equal.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

If angle A is 60 degrees and angle B is 90 degrees, what is angle C in triangle ABC?

Back

Angle C is 30 degrees because 180 - (60 + 90) = 30.