UNIT 2 GEOMETRIC TRANSFORMATIONS REVIEW

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Front

What does it mean for a transformation to preserve congruence?

Back

A transformation preserves congruence if the shape's size and shape remain unchanged after the transformation.

Front

What does it mean for a transformation to preserve orientation?

Back

A transformation preserves orientation if the order of the points in the shape remains the same after the transformation.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape 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 to get (-x, y).

Front

What is a rotation in geometry?

Back

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

Front

What is the rule for translating a point?

Back

The rule for translating a point (x, y) is given by (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What is the effect of a 90-degree counter-clockwise rotation around the origin on the point (x, y)?

Back

The effect is to transform the point (x, y) to (-y, x).

Front

What is the result of reflecting a point over the line y = x?

Back

Reflecting a point (x, y) over the line y = x results in the point (y, x).

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a shape in a straight line from one position to another without changing its size or orientation.