Midterm Review: Chapter 3

Front

What does the Corresponding Angles Postulate state?

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.

Front

What is the distance from a point to a line?

Back

The shortest distance from a point to a line is the length of the perpendicular segment from the point to the line.

Front

How can you determine if two lines are perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Front

Given points A(-2, 4) and B(7, -2), how do you find a point P on segment AB in the ratio 1:2?

Back

Use the section formula: P = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)) where m:n is the ratio.

Front

What is the Alternate Angles Postulate?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What is the formula for finding the midpoint of a line segment?

Back

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

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart.

Front

What is the relationship between the angles formed when two parallel lines are cut by a transversal?

Back

The corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.

Front

How do you calculate the slope of a line given two points?

Back

Slope m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the distance formula in geometry?

Back

The distance formula calculates the length of a line segment between two points in a coordinate plane.