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Try It Out -- Chapter 7, Lesson 2



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

The point A(5, 2) is translated 7 units to the left and 5 units down.  Determine the coordinates of A¢, the point after the translation.
a.
(-7, -5)
b.
(-1, -3)
c.
(-2, -3)
d.
(2, 3)
 

 2. 

Given the triangle and its image after a translation, select the translation vector that describes the translation.

{Graphic:  DABC with coordinates A(-4, 0), B(-3, 3) and C(0, -2) and DA¢B¢C¢ with coordinates A¢(1, -4), B¢(3,0) and C¢(6, -5) }
a.
(6, -3)
b.
[6, -3]
c.
[5, -3]
d.
[-6, 3]
 

 3. 

Select the coordinates of the image of the point (-3, 2) after the translation [-4, -3].
a.
(-1, 5)
b.
(-7, -1)
c.
(1, -1)
d.
(-7, 5)
 

 4. 

Select the coordinates of the image of the point (0, 5) after a translation [3, -8].
a.
(3, 2)
b.
(8, -8)
c.
(3, -3)
d.
(-3, 13)
 

 5. 

The coordinates of the vertices of DABC are A(2, -2), B(4, 0), and C(3, 5).
Select the translation vector needed to move A to A¢(-3, 5).
a.
[-5, 7]
b.
[5, 3]
c.
[-1, -3]
d.
[5, 7]
 

 6. 

For the triangle stated in Question 5, determine the coordinates of B¢ after the same translation.
a.
(9, 7)
b.
(9, -7)
c.
(-1, -7)
d.
(-1, 7)
 

 7. 

For the triangle stated in Question 5, determine the coordinates of C¢ after the same translation.
a.
(8, 12)
b.
(-2, 12)
c.
(2, 12)
d.
(-2, 2)
 

 8. 

DXYZ is transformed to DX¢Y¢Z¢ by applying the same transformation two times.
The coordinates of X are (-5, 4).
The vertices of the final image are at X¢¢(1, 0), Y¢¢(5, -3) and Z¢¢(2, -7).

Determine the translation vector.
a.
[6, 4]
b.
[-4, 4]
c.
[3, -2]
 

 9. 

Continuing with the problem stated in Question 8, determine the coordinates of vertex Y.
a.
(-1, 1)
b.
(-1, -3)
c.
(2, -1)
 

 10. 

Continuing with the problem stated in Question 8, determine the coordinates of vertex Z.
a.
(-1, -5)
b.
(-4, -3)
c.
(-2, -7)
 



 
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