Name:    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)