Midterm Review 1 & 3

Front

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

Back

The distance formula is: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is a linear pair of angles?

Back

A linear pair of angles are two adjacent angles that form a straight line, meaning their measures add up to 180°.

Front

How do you find the measure of an angle when given its expression in terms of a variable?

Back

Set up an equation based on the relationship of the angles (e.g., linear pair, complementary) and solve for the variable.

Front

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

Back

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

Front

How do you determine if two lines are perpendicular?

Back

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

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, represented by the value of b in the slope-intercept form.

Front

If m∠1 + m∠2 = 180°, what relationship do these angles have?

Back

m∠1 and m∠2 are supplementary angles.

Front

What does it mean for a line to be perpendicular to another line?

Back

A line is perpendicular to another if it intersects at a right angle (90°).

Front

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

Back

Rearrange the equation Ax + By = C to solve for y in terms of x, resulting in y = mx + b.

Front

What is the distance between two points (3, -1) and (3, 2)?

Back

The distance is 3 units, calculated using the distance formula.