1. Quiz Intro, Review

2. Question #1
A) Given the function f(x) = 3x – 5, find the value of the function when x = -4.
B) Given the function g(x) = -2x + 5, find x if g(x) = -11.

3. Answer to #1
A) f(x) = - 17
B) x = 8

4. Question #2
A) Given the transformation T(x,y)---(2x, y – 3), determine the image of the point A(-3, -5).
B) Given the transformation T(x,y)---(x + 4, - y), determine the pre-image of the point B’(3, -8).

5. Answer to #2
A) A’(-6, -8)
B) B(-1, 8)

6. Question #3
Determine if the transformation is an isometry or not, then state the type of transformation.
A) B)
C) D)

7. Answer to #3 A) isometry; translation B) isometry; rotation
C) isometry; reflection
D) non-isometry; stretch

8. Question #4
Write translation vector that translates triangle ABC to triangle A’B’C’.

9. Answer to #4

10. Question #5
The vertices of triangle PQR are P(-2,3), Q(4,1), and R(2,-2). Find the coordinates of the image after applying the translation vector

11. Answer to #5
P(2, -2) Q(8, -4) R(6, -7)

12. Question #6
Find the values of the variables a, b, and c.

13. Answer to #6
a=35, b= 14, c= 5

14. Question #7
The vertices of triangle ABC are A(1,3), B(4,4), and C(5,0). Graph the pre-image and the image after a reflection in the line x = -1. State the coordinates of the vertices.

15. Answer to #7
See board

16. Question #8
The vertices of triangle LMN are L(-2,3), M(1,2), and N(4,5). Find the coordinates of triangle L’M’N’ after a reflection in the given line:
A) x-axis
B) y-axis

17. a) L’(-2, -3) M’(1, -2) N’(4, -5) b) L’ (2, 3), M’(-1,2), N’ (-4,5)
Answer to #8
a) L’(-2, -3) M’(1, -2) N’(4, -5)
b) L’ (2, 3), M’(-1,2),
N’ (-4,5)

18. Question #9
The vertices of triangle LMN are L(-2,3), M(1,2), and N(4,5). Find the coordinates of triangle L’M’N’ after a reflection in the given line:
A) y = x
B) y = -x

19. Answer to #9 A) L’(3,-2), M’(2,1), N’(5,4)
B) L’(-3,2), M’(-2,-1), N’(-5,-4)

20. Question #10
State the coordinates of A’B’C’ after a reflection in the y-axis.

21. Answer to #10
A’ (4, -2) B’(-3, 1) C’(-2, -3)

22. Question #11
Quadrilateral RSTU has vertices R(3,1), S(5,1), T(5,-3) and U(2,-1). State the coordinates of R’S’T’U’ after a rotation of about the origin.

23. Answer to #11

24. Question #12
Find the value of r and s in the diagram of the rotation.

25. Answer to #12
r = 5, s = 6

26. Question #13
State the coordinates of J’K’L’M’ after a rotation of

27. J’(-1,-4), K’(-5,-5), L’(-7,-2), M’(-2,-2)
Answer to #13
J’(-1,-4), K’(-5,-5), L’(-7,-2), M’(-2,-2)