Midterm Review 1 & 3

Front

What is the formula to find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

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

Front

If RS is the segment bisector of segment OQ, what does it mean?

Back

It means that RS divides OQ into two equal parts.

Front

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

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you determine the value of x in a segment bisector problem?

Back

Set the two segments equal to each other and solve for x.

Front

What is the measure of an angle if its supplement is 47°?

Back

The measure of the angle is 180° - 47° = 133°.

Front

What is the relationship between the angles in a linear pair?

Back

The angles in a linear pair are supplementary, meaning they add up to 180°.

Front

How do you convert the equation of a line from standard form to slope-intercept form?

Back

Rearrange the equation to solve for y in terms of x.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)