Attributes of Dilations

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(3,3) B(6,6) C(9,3)

• 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

Which algebraic representation ("rule") best represents the transformation in the picture?

• $\left(x,\ y\right)\rightarrow\left(2x,\ 2y\right)$

• $\left(x,\ y\right)\rightarrow\left(3x,\ 3y\right)$

• $\left(x,\ y\right)\rightarrow\left(\frac{1}{3}x,\ \frac{1}{3}y\right)$

• $\left(x,\ y\right)\rightarrow\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

Tags

CCSS.HSG.CO.A.2

Point M (8, 12) was dilated to become Point M' (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

Tags

CCSS.8.G.A.3

Which of the following rules could NOT be used to represent a dilation with a scale factor of 1/4?

• (x, y) $\rightarrow$ $\left(\frac{1}{4}x,\ \frac{1}{4}y\right)$

• (x, y) $\rightarrow$ (4x, 4y)

• (x, y) $\rightarrow$ (0.25x, 0.25y)

• (x, y) $\rightarrow\ \left(\frac{x}{4},\ \frac{y}{4}\right)$

Tags

CCSS.8.G.A.3

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

• reduction
• enlargement
• scale factor
• center of dilation

Tags

CCSS.7.G.A.1

Which representation of a transformation on a coordinate grid preserves congruence?
I. Rotation
II. Reflection
III. Dilation
IV. Translation

• I, II, and IV
• I and II only
• I, II, and III
• IV only

Tags

CCSS.HSG.CO.A.2

 $\Delta ABC$ was dilated to form  $\Delta A'B'C'.$  Which statement below is true about the angles of  $\Delta A'B'C'?$  

• The angles of  $\Delta A'B'C'$  are 1/2 the angles of  $\Delta ABC.$  

• The angles of  $\Delta A'B'C'$  are 1/4 the angles of  $\Delta ABC.$  

• The angles of  $\Delta A'B'C'$  $\cong$  to the angles of  $\Delta ABC.$ 

• The angles of  $\Delta A'B'C'$  are twice the size of the angles of  $\Delta ABC.$  

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

 $\Delta ABC$ was dilated to form  $\Delta A'B'C'.$  Which statement below is true about the SIDES of  $\Delta A'B'C'?$  

• The sides of  $\Delta A'B'C'$  are 1/2 the sides of  $\Delta ABC.$  

• The sides of  $\Delta A'B'C'$  are 1/4 the sides of  $\Delta ABC.$  

• The sides of  $\Delta A'B'C'$  $\cong$  to the sides of  $\Delta ABC.$ 

• The sides of  $\Delta A'B'C'$  are twice the size of the sides of  $\Delta ABC.$  

Tags

CCSS.8.G.A.3

 Which of the following best explains why $$\Delta ABCand\Delta A^{\prime }{B}^{\prime }{C}^{\prime }$$ are similar?

• Sides AB and A'B' are congruent.

• Corresponding sides are congruent.

• The measure of angles of  $\Delta ABC$  are half the measure of corresponding angles on  $\Delta A'B'C'.$  

• Corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

 A figure is transformed based on the representation below.
 $\left(x,\ y\right)\rightarrow\left(2.6x,\ 2.6y\right)$  
Which statement best describes the resulting image?

• The figure was translated 2.6 units to the right and 2.6 units up.
  

• The sides of the image were reduced by a scale factor of 2.6.

• The sides of the image were enlarged by a scale factor of 2.6.

• The image is a reflection of the original. 

Tags

CCSS.HSG.CO.A.2