Parallel & Perpendicular Lines REVIEW

Front

What are Corresponding Angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a straight line crosses two others. When the lines are parallel, corresponding angles are equal.

Front

What is the Corresponding Angles Postulate?

Back

The Corresponding Angles Postulate states that if two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.

Front

What is the Corresponding Angles Converse?

Back

The Corresponding Angles Converse states that if two lines are cut by a transversal and the corresponding angles are equal, then 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. When the lines are parallel, alternate interior angles are equal.

Front

What is the Alternate Exterior Angles Converse?

Back

The Alternate Exterior Angles Converse states that if two lines are cut by a transversal and the alternate exterior angles are equal, then the lines are parallel.

Front

What are Consecutive Interior Angles?

Back

Consecutive interior angles are pairs of angles that lie between two lines on the same side of a transversal. When the lines are parallel, consecutive interior angles are supplementary (add up to 180 degrees).

Front

How do you find the slope of a line perpendicular to a given line?

Back

The slope of a line perpendicular to another is the negative reciprocal of the slope of the original line. If the original line has a slope of m, the perpendicular line's slope is -1/m.

Front

Write the equation of a line perpendicular to y = 3x + 2 that passes through the point (1, 4).

Back

The slope of the given line is 3, so the slope of the perpendicular line is -1/3. The equation is y - 4 = -1/3(x - 1), which simplifies to y = -1/3x + 13/3.

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope. If two lines are parallel, their slopes are equal.

Front

What is the value of x if the angles are corresponding and one angle measures 45 degrees?

Back

If the corresponding angle measures 45 degrees, then x = 45 degrees.