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

Back

The x-coordinate changes sign, while the y-coordinate remains the same. For example, (x, y) becomes (-x, y).

Front

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

Back

The y-coordinate changes sign, while the x-coordinate remains the same. For example, (x, y) becomes (x, -y).

Front

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

Back

A'(-3, 4).

Front

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

Back

B'(-2, -5).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, creating a mirror image.

Front

How do you find the image of a triangle after reflection?

Back

To find the image of a triangle after reflection, reflect each vertex of the triangle across the line of reflection.

Front

If triangle ABC has vertices A(1, 2), B(3, 4), and C(5, 6), what are the coordinates after reflecting over the y-axis?

Back

A'(-1, 2), B'(-3, 4), C'(-5, 6).

Front

What is the effect of reflecting a point across the origin?

Back

Reflecting a point across the origin changes both coordinates' signs. For example, (x, y) becomes (-x, -y).

Front

If point C(0, 0) is reflected over any axis, what are the coordinates of C'?

Back

C'(0, 0) remains the same because it is at the origin.