The document discusses different types of symmetry including lines of symmetry, rotation, translation, and reflection. It provides examples and definitions of each type: a line of symmetry is a line where a figure can be folded to match both sides; rotation is turning a figure around a point or vertex; translation is sliding a figure in any direction; and reflection is flipping a figure over a line. It includes interactive examples allowing the reader to see these symmetries in shapes like triangles, octagons, and trapezoids.

1. Symmetry
Rotation
Translation
Reflection

2. Symmetry

3. What is a line of
symmetry?
• A line on which a figure can be folded so
that both sides match.
– Maryland Content Standard 2.E.2 – Identify and
describe symmetry in geometric figures or pictures.
(Up to four lines of symmetry)

4. To be a line of symmetry,
the shape must have two
halves that match exactly.
When you trace a heart onto
a piece of folded paper,
and then cut it out, the two half
hearts make a whole heart.
The two halves are symmetrical.

5. Which of these flags have a
line of symmetry?
United States of America Canada
Maryland England

6. What about these math symbols?
Do they have symmetry?

7. How many lines of symmetry to
these regular polygons have?
Do you
see a
pattern?

8. You can look to see if your name
has symmetrical letters in it too!
A B C D E FG
H I J K L M N
O P Q R S T
U V W X Y Z
Infinite
number

9. Rotation
(Turn)
The action of turning a
figure around a point or a
vertex.

10. Click the
triangle to
see rotation
Turning a
figure around
a point or a
vertex

11. Translation
(Slide)
The action of sliding a
figure in any direction.

12. The act of sliding a figure
in any direction.
Click the
Octagon to see
Translation.

13. Reflection
(flip)
The result of a figure
flipped over a line.

14. Click on
this
trapezoid
to see
reflection.
The result of a figure flipped over a line.

15. Which shapes show reflection,
translation, or rotation?