Transformations (translation, reflection, rotation, dilation)

Front

What is a transformation in geometry?

Back

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

Front

What are the four main types of transformations?

Back

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

Front

What is translation?

Back

Translation is a transformation that moves a figure a certain distance in a specified direction without changing its shape or orientation.

Front

What is reflection?

Back

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

Front

What is rotation?

Back

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

Front

What is dilation?

Back

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

Front

Which transformation does not preserve congruence?

Back

Dilation does not preserve congruence because it changes the size of the figure.

Front

How many degrees is a 90 degrees clockwise rotation?

Back

A 90 degrees clockwise rotation turns the figure 90 degrees to the right.

Front

If a quadrilateral is translated 4 units to the left and 5 units down, what are the new coordinates for Point A' if Point A is at (4, 5)?

Back

The new coordinates for Point A' would be (0, 0).

Front

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

Back

A reflection across the x-axis changes the sign of the y-coordinate of each point in the figure.