Transformations Math

Front

What is a transformation in math?

Back

A transformation is a mathematical operation that changes the position, size, or shape of a figure.

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 does it mean to translate a figure?

Back

To translate a figure means to slide it in a straight line from one position to another without changing its shape or orientation.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point at a certain angle.

Front

What is the line of symmetry?

Back

A line of symmetry is a line that divides a figure into two mirror-image halves.

Front

How do you perform a reflection across the y-axis?

Back

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

Front

How do you perform a translation of a point?

Back

To translate a point (x, y) by (a, b), add a to the x-coordinate and b to the y-coordinate: (x+a, y+b).

Front

What is the result of a 90° counterclockwise rotation of a point (x, y)?

Back

The result is (-y, x).

Front

What is the result of translating a point (3, 5) by (-2, -3)?

Back

The new point is (1, 2).

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.