Skill 17 Review 2023

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a center of dilation and a scale factor.

Front

How do you find the coordinates of a dilated point?

Back

To find the coordinates of a dilated point P' from point P with a center of dilation (x_c, y_c) and scale factor k, use the formula: P' = (x_c + k(x - x_c), y_c + k(y - y_c)).

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In dilation, it determines how much larger or smaller the image will be compared to the original figure.

Front

If point P(−3, 2) is dilated with a scale factor of 2 and a center of dilation (1, 1), what are the coordinates of P'?

Back

P' (-7, 3) is the result of the dilation.

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but different sizes.

Front

How do you determine the scale factor between two similar figures?

Back

The scale factor can be determined by dividing the lengths of corresponding sides of the two figures.

Front

If a point (8, 12) is dilated to (2, 3), what is the scale factor?

Back

The scale factor is ¼.

Front

What does it mean for two figures to be congruent?

Back

Congruent figures are identical in shape and size, meaning they can be superimposed on each other.

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If a scale factor is 1/2, how does it affect the size of a figure?

Back

A scale factor of 1/2 reduces the size of the figure to half of its original dimensions.