Coordinate Plane Flashcardizz

Front

What is the coordinate plane?

Back

The 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 four quadrants of the coordinate plane?

Back

The four quadrants are: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate. The new point will be (-x, y).

Front

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

Back

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

Front

What does it mean for a line to be vertical?

Back

A vertical line has the same x-coordinate for all points on the line, meaning it goes straight up and down. It is represented by the equation x = a, where 'a' is a constant.

Front

What does it mean for a line to be horizontal?

Back

A horizontal line has the same y-coordinate for all points on the line, meaning it goes straight left and right. It is represented by the equation y = b, where 'b' is a constant.

Front

What happens to a point in Quadrant III when reflected across the y-axis?

Back

When a point in Quadrant III is reflected across the y-axis, it moves to Quadrant IV.

Front

What is the reflection of the point (3, 4) over the x-axis?

Back

The reflection of the point (3, 4) over the x-axis is (3, -4).

Front

What is the reflection of the point (-5, -2) over the y-axis?

Back

The reflection of the point (-5, -2) over the y-axis is (5, -2).

Front

How do you identify the coordinates of a triangle's vertices on a coordinate plane?

Back

The coordinates of a triangle's vertices are the points where the corners of the triangle meet the axes, represented as (x, y) pairs.