5.7 Reflections 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 are the two axes in the coordinate plane?

Back

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

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: (x, -y).

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: (-x, y).

Front

What is the reflection of the point (2, 3) across the x-axis?

Back

The reflection is (2, -3).

Front

What is the reflection of the point (-4, -5) across the y-axis?

Back

The reflection is (4, -5).

Front

If point A is at (1, 2), what is its reflection across the y-axis?

Back

The reflection is (-1, 2).

Front

If point B is at (-3, 4), what is its reflection across the x-axis?

Back

The reflection is (-3, -4).

Front

What is the new location of point C (5, -3) after reflecting across both axes?

Back

The new location is (-5, 3).

Front

What quadrant is point D'(-3, -5) located in?

Back

Point D'(-3, -5) is located in Quadrant III.