Properties of Isometric Transformations

Properties of Isometric Transformations

G.CO.A.4 Guide 1

Multiple Choice

There are three isometric transformations. Which of the following is NOT an isometric transformation?

• Dilation

• Reflection

• Rotation

• Translation

Multiple Choice

True/False: An isometric transformation could alter the size, but MUST keep same shape.

• True

• False

Multiple Choice

 $\Delta ABC$  was reflected to create  $\Delta A'B'C'.$  What was the line of reflection?

• The x-axis

• The y-axis

• The perpendicular bisector of  $\overline{AA'}$  

• Not enough information

Multiple Choice

 $\overline{AB}$  is reflected to create  $\overline{A'B'}.$  Which of the following is always true?

•  $A'A=B'B$  

•  $AB=A'B'$  

•  $\overline{AB}\perp\overline{A'B'}$  

•  $\overline{AA'}\parallel\overline{BB'}$  

Multiple Choice

After a reflection, will the orientation of the preimage and image be the same or different?

• Same

• Different

Multiple Choice

Is the orientation of the preimage and image after a rotation the same or different?

• Same

• Different

Multiple Choice

If  $R_{O,35\degree}\left(\Delta ABC\right)=\Delta DEF$  (read triangle ABC is rotated around point O by 35 degrees to produce triangle DEF), which of the folllowing is true? 

•  $m\angle BOD=35\degree$  

•  $m\angle ABE=35\degree$  

•  $m\angle COF=35\degree$  

•  $m\angle DEF=35\degree$  

Multiple Select

Which of the following would be coterminal with  $-40\degree?$  Select all that apply.

•  $-400\degree$  

•  $400\degree$  

•  $320\degree$  

•  $680\degree$  

•  $-760\degree$  

Multiple Select

Which of the following would be coterminal with  $400\degree?$  Select all that apply.

•  $40\degree$  

•  $360\degree$  

•  $1840\degree$  

•  $-320\degree$  

•  $-400\degree$  

Multiple Choice

Which isometric transformation changes the orientation of the shape?

• Reflection

• Rotation

• Translation

Multiple Choice

Which isometric transformation will result in the distances from every point to its image being equal?  $\left(AA'=BB'=CC',\ etc\right)$  

• Reflection

• Rotation

• Translation

Multiple Choice

If I reflect point A over the x-axis and A' is in the exact same spot as A, then where must A have been?

• on the x-axis

• on the y-axis

• at point 2,-3

• impossible to determine

Multiple Choice

After an isometric transformation of  $\Delta XYZ,$  point X' maps directly onto point X.  Which isometric transformation could this NOT have been? 

• Reflection

• Rotation

• Translation

Multiple Select

 $\overline{WR}$  is translated to create  $\overline{W'R'}.$  Which of the following MUST be true? Select all that apply.

•  $\overline{WR}\parallel\overline{W'R'}$  

•  $WW'=RR'$  

•  $\overline{WR}\cong\overline{W'R'}$  

•  $\overline{WR}\perp\overline{W'R'}$  

•  $\overline{WR}$  is the perpedicular bisector of  $\overline{W'R'}$  

Multiple Choice

True/False: if $\Delta ART$  is reflected over the x-axis to create  $\Delta A'R'T',$  the x-axis is the  $\perp$  bisector of  $\overline{AA'}$  .

• True

• False