Geometry Unit 2 Transformations Review

Front

What is a Transformation in Geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the four main types of transformations?

Back

Reflection, Rotation, Dilation, and Translation.

Front

What is a Reflection?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is a Rotation?

Back

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

Front

What is a Dilation?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape, using a scale factor.

Front

What is a Translation?

Back

A translation is a transformation that slides a figure from one position to another without changing its shape or orientation.

Front

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

Back

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

Front

How do you perform a rotation of 90° clockwise around the origin?

Back

To rotate a point (x, y) 90° clockwise, the new coordinates will be (y, -x).

Front

How do you perform a dilation with a scale factor of k?

Back

To dilate a point (x, y) by a scale factor of k, the new coordinates will be (kx, ky).

Front

What is the result of rotating a point (3, 4) 180° about the origin?

Back

The new coordinates will be (-3, -4).