Dilations and Scale Factor Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same, using a scale factor.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure.

Front

If the scale factor is greater than 1, what type of transformation is it?

Back

Enlargement.

Front

If the scale factor is less than 1, what type of transformation is it?

Back

Reduction.

Front

What is the scale factor if the original length is 4 and the new length is 8?

Back

2.

Front

How do you find the coordinates of a point after dilation?

Back

Multiply each coordinate of the point by the scale factor.

Front

What is the image of the point (2, 3) under a dilation with a scale factor of 3?

Back

(6, 9).

Front

If △ABC is dilated to △A'B'C' with a scale factor of 1/2, what happens to the size of the triangle?

Back

The triangle is reduced to half its original size.

Front

What is the relationship between similar figures and dilations?

Back

Similar figures can be obtained through dilations, as they maintain the same shape but differ in size.

Front

If the scale factor is 5, what is the effect on the area of the figure?

Back

The area increases by a factor of 5^2 = 25.