Math Dilations

Triangle TRW is shown on the coordinate grid to the left.

Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T R′ ′W′. Which ordered pair best represents the location of point R′?

• 
• ( 3− n, −5n)

• ( 3− + n, −5 + n)

• 

Tags

CCSS.8.G.A.3

Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park. Polygon LMNPQR will be dilated with the origin as the center of dilation to create polygon L 'M′′N′P′Q′R′. The vertex Q′ will be located at (21, 7).

Which rule best represents the dilation?

• 
• 
• 
• 

Tags

CCSS.8.G.A.3

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)

Tags

CCSS.8.G.A.3

A dilation is which of the following: 

• only an enlargement

• only a reduction

• Either an enlargement or a reduction

• Neither an enlargement or a reduction

Tags

CCSS.8.G.A.3

a transformation that ​changes the size (enlargement or reduction) of a figure is called a ​ ​ ​ (a)  

• dilation

• rotation

• reflection

• translation

Tags

CCSS.8.G.A.3

If the scale factor is greater than 1, the dilation is (a)  

• an enlargement

• a rotation

• a translation

• a reduction

Tags

CCSS.8.G.A.3

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

• addition 

• subtraction 

• multiplication 

• division 

Tags

CCSS.8.G.A.3

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)

• (20,12)

• (-20,-12)

• (-5,-3)

Tags

CCSS.8.G.A.3

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor r = 2.

• (2,4.5)

• (-8,-18)

• (8,18)

• (9,4)

Tags

CCSS.8.G.A.3

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) --> (2x, 2y)

• (x, y) --> (1/2x, 1/2y)

• (x, y) --> (-2x, -2y)

• (x, y) --> (2x, 1/2y)

Tags

CCSS.8.G.A.3