Reflections and Distance in the Coordinate plane

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

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

How do you find the distance between two points with the same x-coordinate?

Back

Subtract the y-coordinates and take the absolute value.

Front

What is the distance between the points (5, 6) and (5, 8)?

Back

2 units.

Front

What is the reflection of point B(-7, -8) over the y-axis?

Back

B'(7, -8).

Front

What is the distance between the points (-3, 4) and (-3, -8)?

Back

12 units.

Front

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

Back

A'(3, -4).

Front

What is the reflection of point C(4, 2) over the y-axis?

Back

C'(-4, 2).

Front

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

Back

The x-coordinate changes sign.