Topic 3: Transformations

Front

What is a transformation in geometry?

Back

A transformation is a function that maps a geometric figure onto another figure, changing its position, size, or shape.

Front

What is a dilation?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, defined by a scale factor.

Front

What does a scale factor of 2 in dilation mean?

Back

A scale factor of 2 means that the new figure is twice the size of the original figure.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the effect of a 90º clockwise rotation on a point (x, y)?

Back

The new coordinates after a 90º clockwise rotation are (y, -x).

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 line of reflection for a reflection across the x-axis?

Back

The line of reflection is the x-axis, which means that the y-coordinates of points are inverted.

Front

How do you translate a point (x, y) by (x + 2, y - 1)?

Back

The new coordinates after translation are (x + 2, y - 1).

Front

What is the result of rotating a point 180° about the origin?

Back

The new coordinates of a point (x, y) after a 180° rotation about the origin are (-x, -y).

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips it over a line.