Dilations and other transformations

Front

What is a dilation in geometry?

Back

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

Tags

CCSS.8.G.A.3

Front

What does a scale factor of 1/2 mean in a dilation?

Back

A scale factor of 1/2 means that the new figure will be half the size of the original figure.

Tags

CCSS.8.G.A.3

Front

What are the four main types of transformations in geometry?

Back

Translations, reflections, rotations, and dilations.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If Point B is at (3, 2) and is dilated by a scale factor of 2, what are the new coordinates?

Back

(6, 4) because each coordinate is multiplied by 2.

Tags

CCSS.8.G.A.3

Front

What is the result of dilating Point B (1, -2) by a scale factor of 3?

Back

(3, -6) because each coordinate is multiplied by 3.

Tags

CCSS.8.G.A.3

Front

What is the definition of 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.

Tags

CCSS.HSG.CO.A.2

Front

What is the effect of a negative scale factor in a dilation?

Back

A negative scale factor not only changes the size of the figure but also reflects it across the origin.

Tags

CCSS.8.G.A.3

Front

How do you perform a translation on a point?

Back

To translate a point, you add a specific value to the x-coordinate and a specific value to the y-coordinate.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between congruent figures and similar figures?

Back

Congruent figures have the same size and shape, while similar figures have the same shape but may differ in size.

Tags

CCSS.8.G.A.2

Front

What is the formula for dilating a point (x, y) by a scale factor k?

Back

The new coordinates are (kx, ky).

Tags

CCSS.8.G.A.3