Reflections

Front

What is the definition of reflection in geometry?

Back

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

Front

What is the rule for reflecting a point (x, y) across the y-axis?

Back

The rule for reflecting a point (x, y) across the y-axis is to change the sign of the x-coordinate, resulting in the point (-x, y).

Front

What is the rule for reflecting a point (x, y) across the x-axis?

Back

The rule for reflecting a point (x, y) across the x-axis is to change the sign of the y-coordinate, resulting in the point (x, -y).

Front

How do you find the coordinates of a reflected point across the y-axis?

Back

To find the coordinates of a reflected point across the y-axis, take the original coordinates (x, y) and transform them to (-x, y).

Front

How do you find the coordinates of a reflected point across the x-axis?

Back

To find the coordinates of a reflected point across the x-axis, take the original coordinates (x, y) and transform them to (x, -y).

Front

If point A is located at (3, 4), what are the coordinates of A' after reflection across the y-axis?

Back

The coordinates of A' after reflection across the y-axis would be (-3, 4).

Front

If point B is located at (-2, -5), what are the coordinates of B' after reflection across the x-axis?

Back

The coordinates of B' after reflection across the x-axis would be (-2, 5).

Front

What are the new coordinates of point S(3, 7) after reflecting across the y-axis?

Back

The new coordinates of point S after reflecting across the y-axis would be S'(-3, 7).

Front

What happens to the coordinates of a triangle when it is reflected across the y-axis?

Back

When a triangle is reflected across the y-axis, the x-coordinates of all its vertices change sign, while the y-coordinates remain the same.

Front

What is the effect of reflecting a figure across the x-axis on its orientation?

Back

Reflecting a figure across the x-axis flips it vertically, reversing its orientation along the y-axis.