Geometry Unit 4 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. Common types include translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

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

Front

What is a reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, by a scale factor relative to a center point.

Front

How do you perform a counterclockwise rotation of 90° about the origin?

Back

To rotate a point (x, y) counterclockwise by 90° about the origin, the new coordinates will be (-y, x).

Front

What are the coordinates of a point after a translation of (x,y) by (a,b)?

Back

The new coordinates will be (x+a, y+b).

Front

Define symmetry in geometry.

Back

Symmetry in geometry refers to a balance or similarity between two halves of a figure. A figure can have reflectional symmetry, rotational symmetry, or both.

Front

What is rotational symmetry?

Back

A figure has rotational symmetry if it can be rotated around a center point and still look the same at certain angles.

Front

What is reflectional symmetry?

Back

A figure has reflectional symmetry if it can be divided into two identical halves that are mirror images of each other.