Dilations and Translations

Front

What is a scale factor in dilations?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape. It can be an enlargement (scale factor > 1) or a reduction (scale factor < 1).

Front

How do you translate a point in the coordinate plane?

Back

To translate a point, you add a specific value to the x-coordinate and a specific value to the y-coordinate. For example, translating point (x, y) by (a, b) results in the new point (x+a, y+b).

Front

What is the image in a transformation?

Back

The image is the result of a transformation applied to a geometric figure. It is the new position or shape of the figure after the transformation.

Front

What does it mean to translate a figure 5 units to the left and 2 units up?

Back

Translating a figure 5 units to the left means subtracting 5 from the x-coordinate of each point, and translating it 2 units up means adding 2 to the y-coordinate of each point.

Front

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

Back

A scale factor of 2 enlarges the figure, doubling the distance of each point from the center of dilation.

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points of a figure are expanded or contracted during a dilation.

Front

How do you find the coordinates of a translated point?

Back

To find the coordinates of a translated point, apply the translation rule to the original coordinates by adding or subtracting the specified values.

Front

What is the difference between a dilation and a translation?

Back

A dilation changes the size of a figure while maintaining its shape, whereas a translation moves a figure to a different location without changing its size or shape.

Front

If triangle ABC is dilated by a scale factor of 0.5, what happens to its size?

Back

The triangle will be reduced to half its original size.