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Geometry Transformations Worksheet by Kuta Software LLC, Lecture notes of Geometry

Universiteit Antwerpen Management SchoolGeometry

This worksheet from kuta software llc covers various geometry transformations including rotation, reflection, and translation. Students are required to graph the image of figures using given transformations and find the new coordinates of vertices. Rules to describe each transformation are also provided.

Typology: Lecture notes

2021/2022

Uploaded on 08/05/2022

dirk88
dirk88 ๐Ÿ‡ง๐Ÿ‡ช

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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________
All Transformations
Graph the image of the figure using the transformation given.
1) rotation 90ยฐ counterclockwise about the
origin
x
y
J
Z
L
2) translation: 4 units right and 1 unit down
x
y
Y
F
G
3) translation: 1 unit right and 1 unit up
x
y
E
J
T
M
4) reflection across the x-axis
x
y
M
CJ
K
Write a rule to describe each transformation.
5)
x
y
H
C
B
H'
C'
B'
6)
x
y
P
D
E
I
D'
E'
I' P'
-1-
pf3
pf4

Partial preview of the text

Download Geometry Transformations Worksheet by Kuta Software LLC and more Lecture notes Geometry in PDF only on Docsity!

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Kuta Software - Infinite Geometry Name___________________________________

All Transformations Date________________ Period____

Graph the image of the figure using the transformation given.

  1. rotation 90ยฐ counterclockwise about the origin x y J Z L
  2. translation: 4 units right and 1 unit down x y Y F G
  3. translation: 1 unit right and 1 unit up x y E J T M
  4. reflection across the x-axis x y M C J K Write a rule to describe each transformation.

x y H C B H' C' B'

x y P D E I D' E' I' P' -1-

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x

y

E R F I R' F' I' E'

x

y

X B G X' B' G' Graph the image of the figure using the transformation given.

  1. rotation 90ยฐ clockwise about the origin B (โˆ’2, 0 ), C (โˆ’4, 3 ), Z (โˆ’3, 4 ), X (โˆ’1, 4 )

x

y

  1. reflection across y = x K (โˆ’5, โˆ’2), A (โˆ’4, 1 ), I ( 0 , โˆ’1), J (โˆ’2, โˆ’4)

x

y

Find the coordinates of the vertices of each figure after the given transformation.

  1. rotation 180ยฐ about the origin E ( 2 , โˆ’2), J ( 1 , 2 ), R ( 3 , 3 ), S ( 5 , 2 )^
  2. reflection across y = 2 J ( 1 , 3 ), U ( 0 , 5 ), R ( 1 , 5 ), C ( 3 , 2 )
  3. translation: 7 units right and 1 unit down J (โˆ’3, 1 ), F (โˆ’2, 3 ), N (โˆ’2, 0 )
  4. translation: 6 units right and 3 units down S (โˆ’3, 3 ), C (โˆ’1, 4 ), W (โˆ’2, โˆ’1) -2-

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x

y

E R F I R' F' I' E' reflection across the x-axis

x

y

X B G X' B' G' rotation 180ยฐ about the origin Graph the image of the figure using the transformation given.

  1. rotation 90ยฐ clockwise about the origin B (โˆ’2, 0 ), C (โˆ’4, 3 ), Z (โˆ’3, 4 ), X (โˆ’1, 4 )

x

y

B' C' Z' X' B C Z (^) X

  1. reflection across y = x K (โˆ’5, โˆ’2), A (โˆ’4, 1 ), I ( 0 , โˆ’1), J (โˆ’2, โˆ’4)

x

y

A' I' J' K' K A I J Find the coordinates of the vertices of each figure after the given transformation.

  1. rotation 180ยฐ about the origin E ( 2 , โˆ’2), J ( 1 , 2 ), R ( 3 , 3 ), S ( 5 , 2 ) E' (โˆ’2, 2 ), J' (โˆ’1, โˆ’2), R' (โˆ’3, โˆ’3), S' (โˆ’5, โˆ’2)
  2. reflection across y = 2 J ( 1 , 3 ), U ( 0 , 5 ), R ( 1 , 5 ), C ( 3 , 2 ) U' ( 0 , โˆ’1), R' ( 1 , โˆ’1), C' ( 3 , 2 ), J' ( 1 , 1 )
  3. translation: 7 units right and 1 unit down J (โˆ’3, 1 ), F (โˆ’2, 3 ), N (โˆ’2, 0 ) J' ( 4 , 0 ), F' ( 5 , 2 ), N' ( 5 , โˆ’1)
  4. translation: 6 units right and 3 units down S (โˆ’3, 3 ), C (โˆ’1, 4 ), W (โˆ’2, โˆ’1) S' ( 3 , 0 ), C' ( 5 , 1 ), W' ( 4 , โˆ’4) -2- Create your own worksheets like this one with (^) Infinite Geometry. Free trial available at KutaSoftware.com