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, using a center of dilation and a scale factor.

Tags

CCSS.8.G.A.3

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Tags

CCSS.8.G.A.3

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Tags

CCSS.8.G.A.3

Front

If the original perimeter of a rectangle is 30 cm and it is enlarged by a scale factor of 4, what is the new perimeter?

Back

120 cm.

Tags

CCSS.7.G.A.1

Front

What is the scale factor if a figure is reduced to half its size?

Back

The scale factor is 0.5.

Tags

CCSS.7.G.A.1

Front

When dilating a figure, what remains unchanged?

Back

The corresponding angles of the original figure and the dilated figure remain equal.

Tags

CCSS.8.G.A.3

Front

If a polygon is dilated by a scale factor of 2, what can be said about the original and the image?

Back

The original and the image will not be congruent; the image will be larger.

Tags

CCSS.8.G.A.3

Front

What is the relationship between the sides of two similar polygons?

Back

The corresponding sides of similar polygons are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If a triangle with vertices A(1,1), B(2,2), and C(3,1) is dilated by a scale factor of 3 from the origin, what are the new coordinates?

Back

A'(3,3), B'(6,6), C'(9,3).

Tags

CCSS.8.G.A.3

Front

What is the effect of dilation on the area of a figure?

Back

The area of the figure is multiplied by the square of the scale factor.

Tags

CCSS.8.G.A.3