Unit 7 Geometry in the Coordinate Plane

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

How do you find 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 does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

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

What is the standard form of a circle's equation?

Back

The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Front

How do you identify the center and radius from the equation of a circle?

Back

From the equation (x - h)² + (y - k)² = r², the center is (h, k) and the radius is r.

Front

What is a quadrilateral?

Back

A quadrilateral is a polygon with four sides.

Front

What are the properties of a parallelogram?

Back

In a parallelogram, opposite sides are equal and parallel, and opposite angles are equal.

Front

What distinguishes a rectangle from a parallelogram?

Back

A rectangle is a parallelogram with four right angles.

Front

What distinguishes a square from a rectangle?

Back

A square is a rectangle with all four sides of equal length.