Reflection and Distance on Coordinate Plane

Front

What is reflection in the coordinate plane?

Back

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

Front

What happens to the x-coordinate when a point is reflected over the y-axis?

Back

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

Front

What happens to the y-coordinate when a point is reflected over the x-axis?

Back

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

Front

Reflect the point (3, 4) over the x-axis. What are the coordinates of the reflected point?

Back

(3, -4)

Front

Reflect the point (-2, 5) over the y-axis. What are the coordinates of the reflected point?

Back

(2, 5)

Front

If point A (x, y) is reflected over the x-axis, what are the new coordinates?

Back

(x, -y)

Front

If point B (x, y) is reflected over the y-axis, what are the new coordinates?

Back

(-x, y)

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Calculate the distance between points (1, 2) and (4, 6).

Back

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

Front

What is the reflection of the point (0, -4) over the x-axis?

Back

(0, 4)