Coordinate plane review

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair of numbers (x, y).

Front

What are the coordinates of a point?

Back

Coordinates are a pair of numbers that define the position of a point on a coordinate plane, represented as (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

How do you find the distance between two points on a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the area of a rectangle on a coordinate plane?

Back

The area of a rectangle can be found by multiplying its length and width. If the rectangle's corners are at (x1, y1), (x1, y2), (x2, y1), and (x2, y2), then Area = |x2 - x1| * |y2 - y1|.

Front

What does it mean for points to be collinear?

Back

Points are collinear if they lie on the same straight line. This can be determined by checking if the slope between any two pairs of points is the same.

Front

What is the significance of the origin in a coordinate plane?

Back

The origin is the point (0, 0) on a coordinate plane where the x-axis and y-axis intersect. It serves as the reference point for all other points.

Front

How do you plot a point on a coordinate plane?

Back

To plot a point (x, y), start at the origin (0, 0), move 'x' units along the x-axis (right for positive, left for negative), and then move 'y' units along the y-axis (up for positive, down for negative).

Front

What is a quadrilateral?

Back

A quadrilateral is a polygon with four sides and four vertices. Examples include squares, rectangles, and trapezoids.

Front

How do you determine the area of a quadrilateral on a coordinate plane?

Back

The area of a quadrilateral can be calculated using the formula: Area = 1/2 * |x1y2 + x2y3 + x3y4 + x4y1 - (y1x2 + y2x3 + y3x4 + y4x1)|, where (x1, y1), (x2, y2), (x3, y3), and (x4, y4) are the vertices.

Front

What is the formula for the slope of a line?

Back

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is calculated as m = (y2 - y1) / (x2 - x1).