Reflection and Distance on Coordinate Plane

Front

What is reflection in the context of the coordinate plane?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the reflection of a point (x, y) over the y-axis?

Back

The reflection is (-x, y).

Front

What is the reflection of a point (x, y) over the x-axis?

Back

The reflection is (x, -y).

Front

If a point A is at (3, 4), what is its reflection over the y-axis?

Back

A' is at (-3, 4).

Front

If a point B is at (-2, -5), what is its reflection over the x-axis?

Back

B' is at (-2, 5).

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the distance between the points (1, 2) and (4, 6)?

Back

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

Front

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

Back

The y-coordinate changes sign, while the x-coordinate remains the same.

Front

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

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

Front

If point C is at (0, -4), what is its reflection over the x-axis?

Back

C' is at (0, 4).