Test 4

• Pythagorean theorem


  Theorem that can be used to find the distance between two points in a coordinate plane
• Coordinates of points A and B

  Aval and Bval
• Finding the distance between two points

  Use the distance formula: d = √((x2-x1)^2 + (y2-y1)^2)
• Finding the distance between the points (3,2) and (5,-1)


  • d = √((5-3)^2 + (-1-2)^2)

  d = √(2^2 + (-3)^2)

  d = √(4 + 9)

  d = √15
• Similar shapes


  • Have the same shape but not same size

  Corresponding sides are in the same ratio

  Corresponding angles are equal
• Scale factor


  Ratio of corresponding sides of similar shapes
• Congruent shapes
• Steps to solve similarity problems

  Identify the corresponding sides

  2. Find the ratio of the sides

  3. Use this ratio to relate the other pairs of sides with unknown lengths
• Bearing


  The direction of one point from another, measured clockwise from north
• Bearings


  • a = 235°

  b = 055°

  Bearing of B from A = 057°