Graphs
1. The figures in number 1 represent which type of transformation?
Reflection over the x -axis
5. Which of the following describes the movement of a figure that is translated according to the rule below? (x, y) →(x-6,y+2)
Up/down ____ units and left/right _____ units
Down 6 and Right 2
16. If you are given a regular pentagon, how many lines of symmetry are there in the figure?
5
9. If the PreImage is point B then the Image would be __________.
B'
8. Which of the transformations describes the transformation of the quadrilaterals in number 8?
Reflection over the y-axis
2. What rule maps Triangle FGY onto Triangle F’G’Y’ ? (x, y)→ (_____, _____)
(x, y)→ (x + 4, y - 1)
17. If you are given a square, write down an angle of rotational symmetry for this figure:
90*, 180*, or 270*
10. Does the order in which you do multiple transformations matter?
YES
6. A figure is located entirely in the fourth quadrant. If it is reflected over the y-axis, in which quadrant will its image lie?
Third quadrant
Daily Double!!!!!!!!!!!!!!!!
7. Transform Quadrilateral ABCD by rotating it 270° about the origin
A' (0,3) B' (4,-2) C' (1,-3) D' (-3, 4)
270 rule: (y, -x)
19. This shape has 90 degree and 180 degree rotation. This shape also has 4 lines of symmetry. What shape am I referring to?
Square
The solution of the equation 5(x+6) = 45
x = 3
4. Write a set of points representing the pre-image below after the transformations, (x, y) → (x+5, y-1) and (x’, y’) → (-x’, -y’) , have been applied.
G' (2,-2) B' (2, -6) T' (4, -2) Translation
G' (-2,2) B' (-2, 6) T' (-4, 2) Rotation 180*
12. In the diagram below, A′B′C ′ is a transformation of ABC, and A″B″C ″ is a transformation of A′B′C ′.
The composite of ABC to A’B’C’ is a combination of:________________________ ____________________________________
Translate and Reflect over the y-axis
Daily Double!!!!!!!!!!!!!!!!
18. What fraction of a turn does the wagon wheel below need to turn in order to appear the very same as it does right now?
AND how many degrees of rotation would that be?
1/5 rotation
72*
15. Solve 6(x-5) = x+5
x = 7
3. Does the transformation in number 3 map Quadrilateral KBPH onto Quadrilateral K’B’P’H’ using a rotation, are the pre-image and image congruent?
Rotation? Circle one:YES / NO Image Congruent? Circle one:YES / NO Explain why:___________________
Yes. Rotation 90*
Yes Congruent
Explain: Rule is (-y, x) Rotation is a rigid motion so the shape cannot change.
11. As shown on the graph below, A′B ′C ′ is the image of ABC. How many transformations were required to get from ABC to A′B ′C ′?
Bonus 100 pts. Name the transformation(s)?
1 transformation
Rotated 180*
20. List all the angles of rotational symmetry (between 0 and 360 degrees) of a regular hexagon.
60*, 120*, 180*, 240*, 300*
14. If 7n + 3 = 4/3, what is the value of 7n + 5?
3.333