Dilations at a Point

If triangle ABC was dilated by a scale factor of 3, with the origin as the center of dilation, what would the coordinates of B' be?

• (12,0)

• (12,12)

• (4,3)

• (0,12)

What is the correct scale factor for this dilation?

• 2.5

• 1.5

• 3.5

• 4

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-2,-5). If the triangle is dilated by a scale factor of 3, with the origin as the center of dilation, what are the coordinates of the vertices of the new image?

• A'(5,3), B'(6,2), C'(1,-2)

• A'(6,0), B'(9,-3), C'(-6,-15)

• A'(2/3,0), B'(1,-1/3), C'(-2/3,-5/3)

• A'(-1,-3), B'(0,-4), C'(-5,-8)

Where is the center of dilation?

• (0, 0)

• (3, 1)

• (1, 1)

• (4, 3)

What are the coordinates for the center of dilation?

• (0, 0)

• (4.5, 5.5)

• (3, 2)

• (6.5, 4)

What are the coordinates for the center of dilation?

• (3, 0)

• (0, 0)

• (3, 1)

• (3, -2)

What are the coordinates for the center of dilation?

• (0, 0)

• (-3, -1)

• (-12, 6)

• (-3, -3)

Which of the following algebraic rules represents an enlargement? Select all that apply.

• (x, y) --> (3x, 3y)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (0.75x, 0.75y)

• (x, y) --> (0.999x, 0.999y)

• (x, y) --> (5x, 5y)

Point A is ( 7, 3) and Point A' is ( 21, 9). What is the algebraic rule for this dilation if the center of dilation is at the origin?

What scale factor was used to produce the image?

• 2

• -2

• ¹/₂

• 1