Geometry

• Area of a square

  s²

  
• Area of a rectangle

  bh

  
• Area of a parallelogram

  Bh

  
• Area of a rhombus

  1/2d1d2

  
• Area of a trapezoid

  1/2h(b1+b2)h

  
• Area of a triangle

  1/2bh

  
• Area of equilateral triangle

  A=(s²√3)/4
• Basic geometric properties preserved under a line reflection are...


  distance, angle measure, collinearity, area, parallelism, midpoints.
• (x, y) reflected over the x axis

  (X, -Y)
• (x,y) reflected over the y axis


  (-x,y)
• (x,y) reflected over the line when y=x


  (y,x)
• (x,y) reflected over the line when y=-x


  (-y, -x)
• A transformation of the plane is one-to-one function that maps a point in the plane to a ______ in the plane

  a point
• The original point is called the _____

  pre-image
• The transformed point is called the ____

  Image
• θ = ?


  S/R

  
• S =


  θ (R)

  
• 1 radian is definied to be the measure of angle when it is drawn as a ______ ______ that interepts an arc whose length is equal to the length of the ______ of a circle

  central angle, radius.
• 1 degree is defined to be _____ of a circle

  1/360
• π = ? (In terms of radians to degrees))

  180°
• 2π = ? (In terms of radians to degrees)

  360°
• 3π = ? (In terms of radians to degrees)

  540°
• 4π = ? (In terms of radians to degrees)

  720°
• Degree measure formula


  (# of radians) x (180°/π)
• Radian measure formula


  (# of degrees) x (π/180°)
• isosceles triangle


  a triangle with at least two congruent sides

  
• equilateral triangle


  A triangle with three congruent sides

  
• A central angle is an angle with its _______________

  at the center and two radii as sides.

  vertex

  
• An inscribed angle is an angle with its _______________

  on the circle and two ______________ as sides.

  vertex, chords
• An arc is a set of points on the circle formed by two

  ________________ and all the points ______________ them.

  endpoints, between
• An intercepted arc is an arc whose endpoints are defined by

  a __________________ or an angle.

  chord
• The measure of an arc is the measure of the ____________________

  that intercepts it.

  central angle

  
• A ___________________ is an arc that is half of a circle.

  semicircle

  
• A diameter intercepts a __________________.

  semicircle
• A minor arc is an arc that measures _____________________ 180°.

  less than
• A major arc is an arc that measures _____________________ 180°.

  greater than
• A chord is a line segment with endpoints on the _______________.

  circle
• A secant is a line that __________________ a circle at two points.

  intersects
• A ___________________ is a line that intersects the circle at exactly

  one point.

  tangent
• The one point a tangent intersects the circle at is known as the point of ___________________


  Tangency