Geometric Transformations Review 2024

Front

What is a geometric transformation?

Back

A geometric transformation is an operation that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

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 new point is (-x, y).

Front

What does it mean for figures to be congruent?

Back

Congruent figures have the same shape and size, but may be in different positions or orientations.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you translate a point (x, y) 4 units to the right?

Back

To translate the point (x, y) 4 units to the right, add 4 to the x-coordinate: the new point is (x+4, y).

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

How do you rotate a point (x, y) 90° counter-clockwise about the origin?

Back

To rotate the point (x, y) 90° counter-clockwise about the origin, the new coordinates become (-y, x).

Front

What is the effect of a dilation on a figure?

Back

A dilation changes the size of a figure but keeps its shape the same, either enlarging or reducing it.

Front

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

Back

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