6th Grade Math Textbook, Progress

Transformations

10-14

EFGHis the

image.

translation

arrow

IJKLis the

image.

line of

reflection

Think

Half turn is 180°.

MNOPis the

image.

180°

In a plane, a geometric transformation moves a geometric figure

to a new position in one of three ways. Each transformed figure

is the image of the original figure.


translation (or slide) — Every point of a figure moves the same

distance and in the same direction along a line.


reflection (or flip) —A figure is flipped over a line of reflection

so that its mirror imageis formed.


rotation (or turn) —A figure is turned around a center point.

Translation (Slide) Reflection (Flip)

The translation arrow shows that ABCDis ABCDis flipped over the line of

moved 3 units right and 2 units up. reflection to form its mirror image.

Translation imageEFGH 
ABCD. Reflection image IJKL 
ABCD.

Rotation (Turn)

The rotation arrow shows that

ABCDis rotated (or turned)

one-half turn counterclockwise

around the rotation center.

Rotation image MNOP 
ABCD.

rotation center

rotation arrow

K

I

L

J

D

A B

C

C

D

A B

H

E F

G

P

N

O

M

D

A B

C

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