GEO Fall Final 2024

Front

What is the equation of a line perpendicular to a given line?

Back

The equation of a line perpendicular to another line can be found using the negative reciprocal of the slope of the original line.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside two parallel lines. They are equal in measure.

Front

How do you find the midpoint of a line segment?

Back

The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is calculated using the formula: ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the relationship between parallel lines and transversals?

Back

When a transversal crosses parallel lines, it creates corresponding angles that are equal and alternate interior angles that are also equal.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and different y-intercepts.

Front

What is the formula for the distance between two points?

Back

The distance d between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What are same-side interior angles?

Back

Same-side interior angles are pairs of angles that are on the same side of a transversal and inside two parallel lines. They are supplementary.

Front

How do you find the equation of a line given two points?

Back

To find the equation of a line given two points, first calculate the slope (m) using m = (y2 - y1)/(x2 - x1), then use the point-slope form: y - y1 = m(x - x1).