Name ____________________ Period _____
Math 8 Unit 1 Extra Practice page 1
Math 8 – Unit 1 Extra Practice I can translate a figure on a coordinate plane. Graph the image of the figure using the transformation given. Then give the coordinate of the new figure.
1. Translate 5 units right and 1 unit up G’ __________ T’ __________ B’ __________
2. Translate 1 unit left and 2 units up Y’ __________ G’ __________ M’ __________
3. Translate 3 units down Q’ __________ L’ __________ U’ __________
4. Translate 5 units right and 2 units up X’ __________ E’ __________ I’ __________
5. (x, y) è (x + 4, y – 4) J’ __________ I’ __________ A’ __________
6. (x, y) è (x + 2, y + 3) M’ __________ X’ __________ E’ __________ J’ __________
Original Score
Name ____________________ Period _____
Math 8 Unit 1 Extra Practice page 2
Write a rule to describe each translation. 7. (x, y) è (x _____, y _____)
8. (x, y) è (x _____, y _____)
9. (x, y) è (x _____, y _____)
10. (x, y) è (x _____, y _____)
11. (x, y) è (x _____, y _____)
12. (x, y) è (x _____, y _____)
Name ____________________ Period _____
Math 8 Unit 1 Extra Practice page 3
Math 8 – Unit 1 Extra Practice I can reflect a figure on a coordinate plane. Graph the image of the figure using the transformation given. Then give the coordinate of the new figure.
1. Reflect across 𝑦 = −2. I __________ Q __________
X __________
E __________
I’ __________
Q’ __________
X’ __________
E’ __________
2. Reflect across 𝑦 = 2. M __________
D __________
A __________
W __________
M’ __________ D’ __________
A’ __________
W’ __________
3. Reflect across 𝑥 = 1.
S __________ T __________
J __________
A __________
S’ __________
T’ __________
J’ __________
A’ __________
4. Reflect across 𝑥 = −1. W __________
L __________ B __________
I __________
W’ __________
L’ __________
B’ __________
I’ __________
5. Reflect across x-axis.
W __________
W’ _________
S __________
S’ __________
P __________
P’ __________
I __________
I’ __________
6. Reflect across y-axis.
H __________
H’ __________ L __________
L’ __________
P __________
P’ __________
Q __________
Q’ __________
Original Score
Name ____________________ Period _____
Math 8 Unit 1 Extra Practice page 4
Write a rule to describe each translation. 7. Reflected across: _______________
8. Reflected across: _______________
9. Reflected across: _______________
10. Reflected across: _______________
Name ____________________ Period _____
Math 8 Unit 1 Extra Practice page 5
Math 8 – Unit 1 Extra Practice I can rotate a figure on a coordinate plane. Graph the image of the figure using the transformation given. Then give the coordinate of the new figure.
1. Rotate 180 degrees about the origin P __________ K __________
N __________
F __________
P’ __________
K’ __________
N’ __________
F’ __________
2. Rotate 180 degrees about the origin
V __________ Y __________
R __________
J __________
V’ __________
Y’ __________
R’ __________
J’ __________
3. Rotate 90 degrees counterclockwise
B __________ X __________
N __________
B’ __________
X’ __________
N’ __________
4. Rotate 90 degrees clockwise
V __________ K __________
J __________
V’ __________
K’ __________
J’ __________
5. Rotate 270 degrees counterclockwise
K __________ B __________
U __________
Y __________
K’ __________
B’ __________
U’ __________
Y’ __________
6. Reflect across y-axis.
P __________
T __________ Q __________
K __________
P’ __________
T’ __________
Q’ __________
K’ __________
Original Score
Name ____________________ Period _____
Math 8 Unit 1 Extra Practice page 6
Write a rule to describe each rotation. Be sure to include a degree measure and a direction. 7. Rotated _________________________ 8. Rotated _________________________ 9. Rotated _________________________
10. Rotated _________________________ 11. Rotated _________________________ 12. Rotated _________________________
Name ____________________ Period _____
Math 8 Unit 1 Extra Practice page 7
Math 8 – Unit 1 Extra Practice I can dilate a figure on a coordinate plane. Point A is the vertex of a polygon. Point A’ is the image of A after a dilation. Find the scale factor of the dilation. 1. A (3, 4) and A’ (9, 12) Scale Factor: __________
2. A (1, 0) and A’ (4, 0) Scale Factor: __________
3. A (6, 2) and A’ (3, 1) Scale Factor: __________
4. An enlargement makes an image ( larger | smaller ) and the scale factor is ( larger | smaller ) than 1. 5. A reduction makes an image ( larger | smaller) and the scale factor is ( larger | smaller ) than 1. Determine whether the dilation from Figure A to Figure B is an enlargement or reduction. Then find its scale factor. 6. Enlargement or Reduction
Scale Factor: __________
7. Enlargement or Reduction
Scale Factor: __________
8. Enlargement or Reduction
Scale Factor: __________
9. Enlargement or Reduction
Scale Factor: __________
Original Score
Name ____________________ Period _____
Math 8 Unit 1 Extra Practice page 8
Draw a dilation of the figure using the given scale factor. Give the coordinates of the pre-image and image. 10. 𝑘 = 2
A ________ B ________ C ________ A’ ________ B’ ________ C’ ________
11. 𝑘 = !!
A ________ B ________ C ________ A’ ________ B’ ________ C’ ________
12. 𝑘 = !!
A ________
B ________ C ________ D ________ A’ ________ B’ ________ C’ ________
D’ ________
13. 𝑘 = !!
A ________
B ________ C ________ D ________ A’ ________ B’ ________ C’ ________ D’ ________ 14. 𝑘 = 3
A ________ B ________ C ________ A’ ________ B’ ________ C’ ________ 15. 𝑘 = !
!
A ________ B ________ C ________ D ________ A’ ________ B’ ________ C’ ________ D’ ________
Name ____________________ Period _____
Math 8 Unit 1 Extra Practice page 9
Math 8 – Unit 1 Extra Practice TWO-MOVE TRANSFORMATIONS Draw the new figures and list the new coordinates. 1. Move ∆𝐽𝐾𝐿 with the given transformations:
Rotate 90 degrees clockwise and reflect over the y-axis List coordinates of ∆𝐽!𝐾!𝐿′: List coordinates of ∆𝐽!′𝐾!!𝐿′′:
2. Move Quadrilateral 𝑃𝑀𝑁𝑄 with the given transformations:
Translate (x – 4, y – 5) and rotate 180 degrees List coordinates of 𝑃′𝑀′𝑁′𝑄′: List coordinates of 𝑃′′𝑀′′𝑁′′𝑄′′
Original Score