Non-rigid Transformations (Unit 1 - B)

A dilation produces a similar figure

• True
• False

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True
• False

When the scale factor of a dilation is less than one, the dilation is a reduction.

• True
• False

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

In a dilation what mathematical operation is used with the scale factor?

• addition 
• subtraction 
• multiplication 
• division 

Triangle LMN will be dilated with respect to the origin by a scale factor of 1/2.

What will be the coordinates of Triangle L'M'N'?

• L' (-6, -8), M' (6, 8), N' (6, 1)

• L' (-3, 2), M' (3, 2), N' (3, 0.5)

• L' (-1.5, 2), M' (1.5, 2), N' (1.5, 0.5)

• L' (-1, 2), M' (1, 2), N' (1, 1)

What will be the new coordinates of Point S after a dilation with a scale factor of 3 about the origin?

• S' (-3, 2)

• S' (6, 4)

• S' (-1.5, 1)

• S' (-9, 6)

Damian dilates Triangle PQR shown on the coordinate plane with a scale factor of 0.5 centered at the origin. Then he translates the image 1 unit up and 3 units to the right to form Triangle P'Q'R'.

What are the coordinates of the vertices of Triangle P'Q'R'?

• P' (0, 3), Q' (4, 5), R' (4, -1)

• P' (-3, 2), Q' (1, 4), R' (1, -2)

• P' (-6, 4), Q' (2, 8), R' (2, -4)

• P' (0, 2), Q' (4, 4), R' (4, -2)

Rectangle LMNP is transformed to Rectangle L'M'N'P' as shown on the graph. What scale factor was used in the dilation?

• 1/3

• 3

• 1/2

• 2

The coordinates of the vertices of a trapezoid are (0, 0), (2, 4), (5, 4), and (7, 0). The trapezoid is dilated with scale factor 2 centered at the origin. What are the coordinates of the vertices of the image of the trapezoid?

• (0, 0), (1, 2), (2.5, 2), (3.5, 0)

• (0, 0), (2, 4), (5, 4), (7, 0)

• (0, 0), (4, 8), (10, 8), (14, 0)