math 2 unit 1

reflection over y-axis

(x,y)->(-x,y)

Reflection over x-axis

(x,y)->(x,-y)

reflection over y=x

(x,y)->(y,x)

reflection over y=-x

(x,y)->(-y,-x)

rotation of 180*

(x,y)->(-x,-y)

counterclockwise and clockwise are the same.

rotation of 90* counterclockwise

(x,y)->(-y,x)
also equal to 270* clockwise.

rotation 270* counterclockwise

(x,y)->(y,-x)
also equal to 90* clockwise.

Reflections

Flip over line of reflection

Translations

Slide or shift

Dilations

Enlargement/shrinking

Rotations

Turn

SQUARE

• Parallelogram

• All four sides are congruent

• All four angles are right angles

• Diagonals bisect each other

• Diagonals are perpendicular

• Diagonals bisect vertices

• Diagonals are congruent

• Consecutive angles supplementary

RECTANGLE

• Parallelogram

• All four angles are right angles

• Opposite sides are congruent

• Opposite angles are congruent

• Diagonals bisect each other

• Diagonals are congruent

• Consecutive angles supplementary

RHOMBUS

• Parallelogram

• All four sides are congruent

• Opposite angles are congruent

• Diagonals bisect each other

• Diagonals are perpendicular

• Diagonals bisect vertices

• Diagonals are NOT congruent

• Consecutive angles supplementary