Dilations and Volume

find the volume. Round to the nearest hundredth.

• 1526.82mi

• 1326cm³

• 6104.16mi³

• 1026.04mi³

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

What scale factor was used to produce the image?

• 2

• -2

• ¹/₂

• 1

The scale factor for this dilation is:

Mathematical Equivalence

ON

Dilate Point A by a scale factor of 1/2

• (-4,-4)

• (-1,-4)

• (-1,-1)

• (-2,-2)

What scale factor was used to produce the image?

• 2.5

• 1.5

• 3.5

• 4

A triangle with vertices T(0,0), U (0,3), and V (4,0) is dilated, and the vertices of the new triangle are T' (0,0), U' (0, 1.5), and V' (2, 0). which best represents the scale factor applied to the original triangle?

• (1x, 1y)

• (0x, 0y)

• (0x, -0.5y)

• (0.5x, 0.5y)

A triangle with vertices E (-9, 6), F ( -6, -5), and G ( 4, 0) is dilated to form a triangle with vertices E' (-3, 2), F' ( -2, -1⅔), AND G' ( 1 ⅓, 0). Which best explains the effect of the scale factor applied to triangle EFG to form triangle E'F'G'?

• (x,y) → (-3x, -3y)

• (x,y) → (⅔x, ⅔y)

• (x,y) → (3x, 3y)

• (x,y) → (⅓x, ⅓y)

A cone and ints dimensions are shown in the diagram. Which measurement is closest to the volume of the cone in cubic inches?

• 186.38 in³

• 248.50 in³

• 745.51 in³

• 62.13 in³