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

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate: (x, y) becomes (-x, y).

Front

What is the result of reflecting the point (2, -4) over the y-axis?

Back

The result is (-2, -4).

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate: (x, y) becomes (x, -y).

Front

What is the result of reflecting the point (1, 4) over the x-axis?

Back

The result is (1, -4).

Front

If a triangle is reflected across the y-axis, how do the coordinates of its points change?

Back

The x-coordinates of the points change sign, while the y-coordinates remain the same.

Front

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

Back

The new position is S'(-3, 7).

Front

What does the transformation (x, y) --> (-x, y) represent?

Back

This transformation represents a reflection over the y-axis.

Front

What is the new position of point A(1, 2) after reflecting across the y-axis?

Back

The new position is A'(-1, 2).

Front

What axis is the triangle being reflected over if the transformation is (x, y) --> (x, -y)?

Back

The triangle is being reflected over the x-axis.