Dilation Properties

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

A transformation is applied to create a new figure. Which transformation does not preserve congruence?

• A reflection across the x-axis
• A translation 4 units up
• A dilation by a scale factor of 5
• A rotation 90° counter clockwise

A transformation is applied to create a new figure. Which transformation does not preserve orientation?

• A dilation with a scale factor of (⅕x, ⅕y)
• A translation 4 units up
• A dilation by a scale factor of 5
• A rotation 90° clockwise

Which of the following Transformations preserves the congruence of a figure?

• Dilation, Reflection, Rotation
• Rotation, Translation, Dilation
• Reflection, Rotation, Translation
• Dilation, Reflection, Translation

Which representation of a transformation on a coordinate grid does not preserve congruence? 

• (x,y)--> (¹/₇x,¹/₇y) 
• (x,y)--> (x + 7, y + 7)
• (x,y)--> (x,-y)
• (x,y)--> (y,-x)

An object and its image maintain orientation after rotation.

• true
• false

Tags

CCSS.8.G.A.3

An object and its image maintain orientation after reflection.

• true
• false

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Does the transformation shown preserve congruence and orientation?

• Congruence yes, Orientation yes
• Congruence No, Orientation No
• Congruence No, Orientation yes
• Congruence Yes, Orientation No

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Point (-5,2) is reflected over the y axis.  Where is the new point located?

• (5,2)
• (-5,-2)
• (-5,2)
• (5,-2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5