Identify Transformations Q

Front

What is a transformation in geometry?

Back

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

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure horizontally, vertically, or both without changing its shape or size.

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

Explain reflection in geometry.

Back

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

Front

What is dilation in geometry?

Back

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

Front

How does a translation affect the coordinates of a point?

Back

In a translation, the coordinates of a point (x, y) change to (x + a, y + b), where a and b are the horizontal and vertical shifts.

Front

What happens to a shape during a rotation?

Back

During a rotation, the shape is turned around a center point by a specified angle, changing its orientation but not its size or shape.

Front

What is the effect of a reflection over the x-axis?

Back

A reflection over the x-axis changes the y-coordinate of each point to its opposite, resulting in a mirror image across the x-axis.

Front

Describe the process of dilating a shape by a scale factor of 2.

Back

To dilate a shape by a scale factor of 2, multiply the coordinates of each point of the shape by 2, effectively doubling its size.