6.2 Reflections

Front

What is a reflection in geometry?

Back

A reflection is when you flip or mirror an object across a line.

Front

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

Back

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

Front

Reflect the point (3, 4) over the y-axis.

Back

The reflected point is (-3, 4).

Front

What happens to the y-coordinate when reflecting over the y-axis?

Back

The y-coordinate remains the same.

Front

What happens to the x-coordinate when reflecting over the y-axis?

Back

The x-coordinate changes sign.

Front

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

Back

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

Front

Reflect the point (-2, 5) over the x-axis.

Back

The reflected point is (-2, -5).

Front

What happens to the x-coordinate when reflecting over the x-axis?

Back

The x-coordinate remains the same.

Front

What happens to the y-coordinate when reflecting over the x-axis?

Back

The y-coordinate changes sign.

Front

Is the reflection of a point over the y-axis always on the same horizontal line?

Back

Yes, the reflected point will always be on the same horizontal line as the original point.