Geometry Semester Review Dec 2024

Front

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

Back

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

Front

How do you find the slope from an equation in standard form?

Back

To find the slope from an equation in standard form (Ax + By = C), rearrange it to slope-intercept form (y = mx + b) and identify m.

Front

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

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning their slopes are opposite reciprocals.

Front

Identify the coordinates of the y-intercept from the equation 2y = 3x + 6.

Back

The y-intercept is (0, 3) after rearranging the equation to slope-intercept form.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

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 the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What are alternate interior angles?

Back

Alternate interior angles are angles that lie between two parallel lines and on opposite sides of a transversal.