Geometry Semester Review 3

Front

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

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the value of x that proves the lines cut by the transversal are parallel when the corresponding angles are equal?

Back

If the corresponding angles are equal, then the lines are parallel. The specific value of x depends on the angle measures.

Front

What is the definition of perpendicular lines in geometry?

Back

Perpendicular lines are lines that intersect at a 90-degree angle.

Front

True or false: Perpendicular lines have slopes that are negative reciprocals of each other.

Back

True.

Front

How do you determine the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that is perpendicular to the line with a slope of 3?

Back

The slope of the perpendicular line is -1/3.

Front

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

Back

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

Front

If a line has a slope of -2 and passes through the point (1, 4), what is the equation of the line?

Back

The equation is y = -2x + 6.

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

What is the definition of a transversal in geometry?

Back

A transversal is a line that intersects two or more lines at different points.