Dilations and Translations TEST

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

What mathematical operation is used with the scale factor in a dilation?

Back

Multiplication is used with the scale factor to determine the new dimensions of the figure.

Front

How do you translate a figure in the coordinate plane?

Back

To translate a figure, you add or subtract values from the x and y coordinates of each point of the figure.

Front

What does it mean to translate a figure 5 units down and 5 units to the right?

Back

It means to move every point of the figure 5 units in the negative y-direction and 5 units in the positive x-direction.

Front

What is the difference between dilation and translation?

Back

Dilation changes the size of a figure, while translation moves it to a different location without changing its size or shape.

Front

Can a dilation result in a smaller figure?

Back

Yes, a dilation can result in a smaller figure if the scale factor is less than 1.

Front

What happens to the angles of a figure during a dilation?

Back

The angles of a figure remain unchanged during a dilation.

Front

If a trapezoid is translated 8 units down and 5 units to the right, what happens to its coordinates?

Back

Each point's y-coordinate decreases by 8 and the x-coordinate increases by 5.

Front

What is the effect of a scale factor of 2 on a figure?

Back

A scale factor of 2 enlarges the figure, doubling its dimensions.