Chapter 3 Geometry Review

Front

What is a skew line?

Back

A skew line is a line that does not intersect and is not parallel to another line in three-dimensional space.

Front

Define corresponding angles.

Back

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal.

Front

What are alternate interior angles?

Back

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

Front

What are the conditions for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over the run between two points on the line.

Front

How do you find the slope of a line given its equation in standard form?

Back

To find the slope from the standard form Ax + By = C, rearrange to slope-intercept form (y = mx + b) where m is the slope.

Front

What is 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.

Front

Write the slope-intercept form of a line with slope m and y-intercept b.

Back

The slope-intercept form is y = mx + b.

Front

What is the equation of a line with slope 4 passing through the point (-2, 5)?

Back

The equation is y = 4x + 13.

Front

What are supplementary angles?

Back

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