Geometry Review

Front

What is the slope of a line perpendicular to y = 2x - 7?

Back

The slope of a line perpendicular to y = 2x - 7 is -1/2.

Front

What do the slopes of two perpendicular lines add up to?

Back

The slopes of two perpendicular lines multiply to -1.

Front

If two lines have slopes of -2/3 and 3/2, what is their relationship?

Back

The lines are perpendicular.

Front

What is the definition of a midpoint in geometry?

Back

A midpoint is the point that divides a line segment into two equal parts.

Front

If T is the midpoint of SU, and SU = 6, what is the length of ST?

Back

ST = 3.

Front

What is the formula for finding the midpoint of two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

If the coordinates of point A are (2, 3) and point B are (8, 7), what is the distance between them?

Back

Distance = √((8 - 2)² + (7 - 3)²) = √(36 + 16) = √52 = 2√13.

Front

What is the equation of a line in slope-intercept form?

Back

The equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.