Chapter 7 Review

Florna graphed a shape. She then applied the transformation (x,y) to (-2x , 2y). Is the new shape congruent with the original shape? Why or why not?

• No, because the shape was dilated and rotated.
• Yes, because the shape was translated and rotated.
• No, because the shape was dilated and reflected.
• Yes, because the shape was translated and reflected. 

Vincent put together a puzzle shown below. Which two pieces in the puzzle are congruent? Describe the transformation that occurred. 

• D and F because of a rotation
• E and F because of a translation
• C and B because of a dilation
• A and C  because of a reflection horizontally

Rectangle ABCD is undergoing a series of transformations. Which of the following transformations will NOT cause the resulting rectangle  to maintain congruence with rectangle ABCD? 

• Translation 3 units left, then translation 7 units down. 
  
• Dilation by a scale factor of 3, then dilation by a scale factor of 3.
• Dilation by a scale factor of 2, then dilation by a scale factor of 1/2.
• Translation 4 units right, then translation 6 units up. 

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

A rectangle is dilated by a scale factor of 1. Which of the following is true? 

• The resulting figure will not be congruent to the original rectangle, because all dilations cause the coordinates to change. 
  
• The resulting figure will be congruent to the original rectangle, because all dilations are congruent to the original figure. 
• The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates. 
  
• The resulting figure will not be congruent to the original rectangle, because dilations with a scale factor of 1 cause the shape to change.
  

Which of the following DOES NOT preserve congruence?

• (X ,Y) to  (-X, -Y) 
• (X, Y) to (-Y + 3) , (X -5)
• (X, Y) to ( X +4) , ( Y-2) 
• (X, Y)  to (2X, 2Y)

Which sequence of transformations result in figures that are similar but NOT congruent? 

• 180 degree clockwise rotation, dilation by a scale factor of 1/2
  
• Reflection across a vertical line, 360 degree clockwise rotation 
  
• Translation 2 units down, reflected across the x-axis
  
• Translation 7 units to the right, reflection across a vertical line
  

Squares K and P are similar. Which series of transformations of square K show that K and P are similar?

• Rotation 90 degree, then dilation by a scale factor of 0.5.
  
• Rotation 45 degree, then dilation by a scale factor of 0.5.
• Reflection over a vertical axis, then dilation by a scale factor of 0.5.
• Reflection over a horizontal axis, then dilation by a scale factor of 0.5
  

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Figures ABC and DEF are similar.  Which series of transformations of figure ABC shows that ABC and DEF are Similar? 

• 90 degree clockwise rotation, then dilation by a scale factor of ¾
  
• 90 degree counterclockwise rotation, then dilation by a scale factor of ¾
  
• Reflection across a vertical line, then dilation by a scale factor of ¾
• Reflection across a horizontal line, then dilation by a scale factor of ¾
  

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Figures A and B are similar.  Which transformation of figure A shows that A and B are similar?

• Translation 3 units up
• Translation 3 units down
• Dilation by a scale factor of 3
• Dilation by a scale factor of 1/3

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Figures AB and CD are similar. Which series of transformations on figure AB shows that AB and CD are similar?  

• Vertical translation up, then dilation by a scale factor of 1/3
  
• Vertical translation down, then dilation by a scale factor of 1/3
  
• Vertical translation up, then dilation by a scale factor of 3
  
• Vertical translation down, then dilation by a scale factor of 3