2.4 –Symmetry
Line of Symmetry: A line that folds a shape in half that is a mirror image
1. For each image below, reflect the shape over the line.
2. Determine if the shapes have line symmetry. If it does, draw in all possible lines of symmetry.
one
none
one
two
Rotational Symmetry: A degree that turns a shape onto itself 360° # matches Degree =
3. Determine if the shape has rotational symmetry. If it does, find the degree of rotational symmetry.
90 °, 180 °, 270 °, 360 °
b. 120 °, 240 °, 360 °
60 °, 120 °, 180 °, 240 °, 300 °, 360 °
none
4. Below are the most common geometric shapes you will be learning throughout geometry. Identify if the shapes have reflection symmetry, rotation symmetry, both, or none. If it has reflection symmetry, state how many lines of symmetry it has. If it has rotation symmetry, state the degree of rotation.
6 lines 60 °, 120 °, 180 °, 240 °, 300 °, 360 ° 1 line No rotation
2 lines 180 °, No line 360 ° No rotation
No line 3 lines 120 °, 240 °, 360 ° No rotation
4 lines 90 °, 180 °, 360 ° 270 °, 1 line No rotation
infinite2 lines 180 °, 360 ° infinite
No line 1 line No rotation
No line1 line No rotation
no line 180 °, 5 lines 72 °, 144 °, 288 °, 216 °, 360 °