Transformations Rules

Front

What is a transformation in geometry?

Back

A transformation is a change in the position, size, or shape of a figure.

Front

What are the four main types of transformations?

Back

Translation, Rotation, Reflection, and Dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What does it mean to dilate a point?

Back

To dilate a point means to resize it from a center point by a scale factor.

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the distance from the center of dilation to a point and the distance from the center to the image of that point.

Front

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

Back

To reflect a point (x, y) across the x-axis, the new point will be (x, -y).

Front

What is the result of a 90-degree clockwise rotation of point (x, y)?

Back

The new coordinates will be (y, -x).

Front

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

Back

The new coordinates will be (-x, -y).

Front

How do you express a translation of 3 units to the right and 2 units up algebraically?

Back

(x, y) goes to (x + 3, y + 2).

Front

What is the algebraic notation for a dilation with a scale factor of 2?

Back

(x, y) goes to (2x, 2y).