Scale Factor

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)
• (x, y) → (3x, 3y)
• (x, y) → (x, y - 3)
• (x, y) → (.5x, .4y)

Choose the correct scale factor:

• 2.5
• 1.5
• 3.5
• 4

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½
• ¼
• 4
• 2

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

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A triangle has vertices with coordinates (2,0), (3, -1) and (-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 image?

• (5,3), (6,2), (1,-2)
• (6,0), (9,-3), (-6,-15)
• (2/3,0), (1,-1/3), (-2/3,-5/3)
• (-1,-3), (0,-4), (-5,-8)

What is the scale factor if the triangle on the left is the original?

• 2
• 3/2
• 2/3
• 1/2

The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image? 

• green triangle 
• red triangle 
• black triangle
• none of these 

What is the scale factor of the image? Black triangle is the original image and blue triangle is the scale image.

• 4

• 5

• 1/4

• 1/5

What is the scale factor of the image? Purple triangle is the original image and black triangle is the scale image.

• 5

• 2

• 1/5

• 1/2

The smaller triangle is transformed to create the larger triangle. Which of these is the scale factor of the dilation centered at the point (0, 0)?

• 4

• 2

• 1

• 1/2