Regents Geometry Review

Sector Area Formula

Central Angle/360 = Area if Sector/ Area of Circel

Arc Length Formula

Central Arc/360 = Arc Length/ Circumference (piD)

Reflection over the x axis

(x,-y)

Reflection over the y axis

(-x,y)

Reflection y=x

(y,x)

Relfection y= -x

(-y,-x)

Point Reflection (origin)

(-x,-y)

Rotation 180

(-x,-y)

Rotation of 270

(y,-x)

Rotation 90

(-y,x)

Properties of a Rhombus

Diagnols are Perpendicular, all sides congruent

Dilating a line (Off the line)

keep the same slope, y intercept

Dilating a line (On the Line)

keep equation the same

Prove Diagnols bisect

Midpoint formula

Parallel lines

same slope

Perpendicular lines

negative reciprocal slope

Properties of a parallelogram

• opp sides congruent and parallel

• Diags bisect

• consecutive angles supplemnetary

• opp angles congruent

Properties of a Rhombus

• 4 sides congruent

• Diags bisect

• Diagnols perpendicular

Rectangle

• 4 right angles

• Diags congruent

Trapezoid

• opposite sides parallel

Isoceles Trapezoid

• Congruent non parallel sides

• Congruent diagnols

• Congruent base angles on same base