Coordinate Plane Review (NS.6b, NS.8)

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 found using the formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, its coordinates change to (x, -y).

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

When a point (x, y) is reflected over the y-axis, its coordinates change to (-x, y).

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 (-2, -5) over the y-axis?

Back

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

Front

If a point has coordinates (a, b), what are the coordinates after reflecting over both axes?

Back

The coordinates after reflecting over both axes would be (-a, -b).

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative value.

Front

How do you calculate the distance between points W(1) and G(-4) using absolute value?

Back

Distance = |1| + |-4| = 1 + 4 = 5.