Graphing, Reflections, Distance on Coordinate Plane

Front

What is the reflection of 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 reflection is (-x, y).

Front

What is the reflection of a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate. The reflection is (x, -y).

Front

How do you calculate the distance between two points A(x1, y1) and B(x2, y2) on a coordinate plane?

Back

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

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).

Front

What does each unit represent on a coordinate plane?

Back

Each unit on a coordinate plane typically represents one unit of distance, such as one block or one meter.

Front

What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented as (0, 0).

Front

What is a mirror image in terms of reflections?

Back

A mirror image is the result of reflecting a point or shape over a line, creating a symmetrical counterpart.

Front

If point R is at (-1, 6), what is R's reflection over the y-axis?

Back

R' is at (1, 6).

Front

If point F is at (3, 4), what is F's reflection over the x-axis?

Back

F' is at (3, -4).

Front

What is the distance between points A(1, 2) and B(4, 6)?

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5 units.