Reflections & Distance on the Coordinate Plane

Front

What is a reflection in geometry?

Back

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

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What does the x-axis represent on the coordinate plane?

Back

The x-axis is the horizontal line where y = 0.

Front

What does the y-axis represent on the coordinate plane?

Back

The y-axis is the vertical line where x = 0.

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point is (x, -y).

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new point is (-x, y).

Front

What is the reflection of the point (2, 3) over the y-axis?

Back

The reflection is (-2, 3).

Front

What is the reflection of the point (-4, -5) over the x-axis?

Back

The reflection is (-4, 5).

Front

If the distance between points A(1, 2) and B(4, 6) is 5, what is the distance formula used?

Back

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

Front

What are the coordinates of the origin on the coordinate plane?

Back

The coordinates of the origin are (0, 0).