dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape and orientation the same.

Tags

CCSS.8.G.A.3

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the figure will be after the dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Tags

CCSS.8.G.A.3

Front

If a figure is dilated by a scale factor of 1, what happens to the figure?

Back

The figure remains the same size; it does not change.

Tags

CCSS.8.G.A.3

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of k?

Back

The new coordinates will be (kx, ky).

Tags

CCSS.8.G.A.3

Front

What is the center of dilation?

Back

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

Tags

CCSS.8.G.A.3

Front

If Triangle ABC has vertices A(1, 2), B(3, 4), and C(5, 6), what are the new coordinates after a dilation by a scale factor of 2?

Back

A'(2, 4), B'(6, 8), C'(10, 12).

Tags

CCSS.8.G.A.3

Front

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

Back

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

Tags

CCSS.8.G.A.3

Front

How does dilation affect the angles of a figure?

Back

Dilation does not change the angles of a figure; they remain congruent.

Tags

CCSS.8.G.A.3

Front

What is the relationship between the original figure and its dilated image?

Back

The original figure and its dilated image are similar, meaning they have the same shape but different sizes.

Tags

CCSS.8.G.A.3

Front

If a point is dilated from the origin (0,0) by a scale factor of 3, what are the new coordinates of the point (2, 5)?

Back

The new coordinates will be (6, 15).

Tags

CCSS.8.G.A.3