DRILL 1 What would be the new point

DRILL 1) What would be the new point formed when you reflect the point (-3, 5) over the origin? 2) If you translate the point (-1, -4) using the vector , what would be the new point? 3) If the coordinates of A are (4, -2) and the coordinates of are (-2, 3) what vector was used to get the new point?

3. 4 Compositions of Reflections

Vocabulary • Glide Reflection: a glide reflection is simply when you translate a figure as well as reflect it over a line.

3. 5 Symmetry Objective: Today, we will identify types of symmetry in figures.

Reflectional Symmetry/Line Symmetry • A figure has reflectional symmetry if and only if a line coincides with the original figure. • The line is called the axis of symmetry.

Reflectional Line of Symmetry • A figure has reflectional symmetry if and only if there exists a line that “cuts” the figure into two congruent parts, that fall on top of each other when folded over the line of symmetry.

Rotational Symmetry • A figure has rotational symmetry of “n” degrees if you can rotate the figure “n” degrees and get the exact same image. • N must be between 0 and 360.

Point Symmetry • A figure has point symmetry when a rotation of 180 degrees maps the figure onto itself. • (It looks exactly the same upside down)

Examples Name all the types of symmetry each figure has: (if rotational state how many degrees) Rotational Symmetry (180) Reflectional Or Point Symmetry (1) Reflectional Symmetry (8) Rotational Symmetry (45)

Alphabet Language Horizontal Vertical Line ENGLISH (Uppercase) GREEK Line Rotational Symmetry

Greek Alphabet

Homework Pgs. 155 – 156 #’s 1 – 12, 15 – 28