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. In the coordinate plane, this often involves reflecting points across the x-axis or y-axis.

Front

What are the coordinates of the point (x, y) reflected across the x-axis?

Back

The coordinates become (x, -y).

Front

What are the coordinates of the point (x, y) reflected across the y-axis?

Back

The coordinates become (-x, y).

Front

How do you find the distance between two points (x1, y1) and (x2, y2) on the coordinate plane?

Back

Use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between the points (3, 4) and (7, 1)?

Back

The distance is 5.

Front

If a point (a, b) is reflected over the y-axis, which coordinate remains unchanged?

Back

The y-coordinate (b) remains unchanged.

Front

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

Back

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

Front

What is the result of reflecting the point (2, -3) over the x-axis?

Back

The reflected point is (2, 3).

Front

What is the result of reflecting the point (-4, 5) over the y-axis?

Back

The reflected point is (4, 5).

Front

What is the reflection of the point (0, -7) over the x-axis?

Back

The reflected point is (0, 7).