Dilations About the Origin

1. Suppose segment 𝑊𝑍̅ is on a coordinate plane located at 𝑊(−3,5) and 𝑍(1,1). Under a dilation centered at the origin, segment 𝑊𝑍̅ becomes segment 𝑊′𝑍′ with coordinates 
𝑊′(−12,20) and 𝑍′(4,4). What is the scale factor for this dilation?

What happens when an image is dilated using the following scale factor with the center at the origin, k =1?

• It stays the same size

• Reduction

• Enlargement

• No image (the shape will disappear)

• It stays the same size

• Reduction

• Enlargement

• No image (the shape will disappear)

• It stays the same size

• Reduction

• Enlargement

• No image (the shape will disappear)

What happens when an image is dilated using the following scale factor with the center at the origin, k=0?

• It stays the same size

• Reduction

• Enargement

• No image (the shape will disappear)

Under a dilation of scale factor 2 centered at the origin, segment SM becomes segment TP. Determine the coordinates of segment TP.

• T (4, 1), P (2, 3)

• T (-4, -1), P (-2, -3)

• T (16, 4), P (8, 12)

• T (-16, -4), P (-8, -12)

• A' (-75, 25), B' (0, -50)

• A' (-3, 1) B' (0, -2)

What is the scale factor of the dilation (with center at the origin) shown in the figure?

• -2

• 2

Select all that applies to the description of dilation

• Rigid Motion

• Congruent Shapes

• Enlargement or Reduction

• Congruent Corresponding Angles

• Proportional Corresponding Sides