Reflections Flashcard

Front

What is a reflection in geometry?

Back

A reflection in geometry is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

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

Back

When a point (x, y) is reflected over the x-axis, its coordinates change to (x, -y).

Front

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

Back

When a point (x, y) is reflected over the y-axis, its coordinates change to (-x, y).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected. It acts as a mirror.

Front

If point A(3, 4) is reflected over the x-axis, what are the coordinates of A'?

Back

A' will be (3, -4).

Front

If point B(-2, -5) is reflected over the y-axis, what are the coordinates of B'?

Back

B' will be (2, -5).

Front

What is the result of reflecting a point over the line y = k?

Back

When reflecting a point (x, y) over the line y = k, the new coordinates will be (x, 2k - y).

Front

What is the effect of reflecting a point over the line x = h?

Back

When reflecting a point (x, y) over the line x = h, the new coordinates will be (2h - x, y).

Front

What is the reflection of the point (0, 0) over any line?

Back

The reflection of the point (0, 0) over any line is still (0, 0).

Front

How do you determine the line of reflection between two points?

Back

The line of reflection is the perpendicular bisector of the segment connecting the two points.