Reflections

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 is the mirror line in a reflection?

Back

The mirror line is the line over which a figure is reflected, such as the x-axis or y-axis.

Front

If a point (x, y) is reflected over the y-axis, what are the coordinates of the reflected point?

Back

The reflected point will be (-x, y).

Front

If a point (x, y) is reflected over the x-axis, what are the coordinates of the reflected point?

Back

The reflected point will be (x, -y).

Front

What happens to the orientation of a figure when it is reflected?

Back

The orientation of the figure is reversed.

Front

What is the difference between reflection and rotation?

Back

Reflection flips a figure over a line, while rotation turns a figure around a point.

Front

What is the result of reflecting a triangle over the x-axis?

Back

The triangle will appear upside down, with its vertices' y-coordinates negated.

Front

If triangle ABC is reflected over the y-axis, what happens to its coordinates?

Back

The x-coordinates of the vertices A, B, and C will be negated.

Front

What is the effect of reflecting a figure over its own line of symmetry?

Back

The figure remains unchanged after the reflection.

Front

How can you determine the line of reflection for a given pair of points?

Back

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