Reflections and Distance in the Coordinate Plane

Front

What is a reflection in the coordinate plane?

Back

A reflection in the coordinate plane is a transformation that flips a figure over a line, creating a mirror image.

Front

What are the two main axes in the coordinate plane?

Back

The two main axes are the x-axis (horizontal) and the y-axis (vertical).

Front

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

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate to (-x, y).

Front

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

Back

To reflect a point (x, y) across the x-axis, change the sign of the y-coordinate to (x, -y).

Front

What is the distance formula in the coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

If point A is at (2, 3), what is its reflection across the x-axis?

Back

The reflection of point A (2, 3) across the x-axis is (2, -3).

Front

If point B is at (-4, 5), what is its reflection across the y-axis?

Back

The reflection of point B (-4, 5) across the y-axis is (4, 5).

Front

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

Back

The distance between points (1, 2) and (4, 6) is 5 units.

Front

How many units are between points (3, 0) and (3, 14) on the y-axis?

Back

There are 14 units between points (3, 0) and (3, 14) on the y-axis.

Front

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

Back

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