Topic 3: Transformations II

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 across the y-axis?

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate: the image point is (-x, y).

Front

What are the new coordinates of point (7, 3) when translated 2 units left and 3 units up?

Back

The new coordinates are (5, 6).

Front

What is the result of reflecting the point (3, 4) across the x-axis?

Back

The image point is (3, -4).

Front

What does a 90-degree clockwise rotation do to the coordinates of a point (x, y)?

Back

The new coordinates become (y, -x).

Front

What is the transformation called when a figure is moved without changing its shape or size?

Back

This transformation is called a translation.

Front

If point C is at (2, 3), what are the coordinates after reflecting over the y-axis?

Back

The coordinates after reflection are (-2, 3).

Front

What is the effect of a 180-degree rotation on the point (x, y)?

Back

The new coordinates become (-x, -y).

Front

How do you identify a reflection across the x-axis?

Back

In a reflection across the x-axis, the y-coordinates of the points change sign while the x-coordinates remain the same.

Front

What happens to the coordinates of a point when it is translated 4 units down?

Back

The y-coordinate decreases by 4: (x, y) becomes (x, y-4).