Transformations

1. The triangle is translated so that the image of vertex X coincides with point E. What are the coordinates of Y’?

A (-5, -11) C (-1, -3)

B (-3, -4) D (1, 4)

2. Hexagon ABCDEF is translated so that the image lies completely in the first quadrant. Which property does this translation change?

A side lengths

B angle measures

C location

D perimeter

3. The triangle is translated 4 units down and 8 units to the right. Which translation returns it to its original location? 
 $A.\ \ \left(x,\ y\right)\ \rightarrow\ \left(x-8,\ y+4\right)$  
 $B.\ \ \left(x,\ y\right)\ \rightarrow\ \left(x-4,\ y+8\right)$  
 $C.\ \ \left(x,\ y\right)\ \rightarrow\ \left(x+4,\ y-8\right)$  
 $D.\ \ \left(x,\ y\right)\ \rightarrow\ \left(x+8,\ y-4\right)$  

4. The hexagon is reflected across the

y-axis. What are the coordinates of the endpoints of segment A’B’?

5. DXYZ is reflected across the vertical line that contains segment CD. What are the coordinates of Z’?

A (-2, 12) C (4, -2)

B (2, -12) D (10, -2)

6. Which transformation moves point F to (2, 1)?

A 90° rotation clockwise about the origin

B 90° rotation counterclockwise about the origin

C reflection across the x-axis

D reflection across the y-axis

7. DXYZ is rotated 90° clockwise about

the origin. Where is vertex Y' in relationship to side BC?

A on it

B above it

C below it

D to the left of it

8. Which transformation applied to the hexagon will make D' coincide with Y? 
 $A.\ \ \left(x,\ y\right)\rightarrow\left(-x,\ y\right)$  
 $B.\ \ \left(x,\ y\right)\ \rightarrow\ \left(x,\ -y\right)$  
 $C.\ \ \left(x,\ y\right)\ \rightarrow\ \left(-y,\ x\right)$  
 $D.\ \ \left(x,\ y\right)\ \rightarrow\ \left(y,\ -x\right)$  

     9.   Hexagon ABCDEF is dilated so that the length of side B'C' is 12 units. What is the scale factor?

 10. The transformation below is applied to XYZ
 $\left(x,\ y\right)\ \rightarrow\ \left(1.5x,\ 1.5y\right)$  
What are the coordinates of point Z’?