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  #### Resources tagged with Perpendicular lines similar to At Right Angles:
  
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  ### There are 10 results
  
  Broad Topics > 2D Geometry, Shape and Space > Perpendicular lines
  
  ### At Right Angles
  
  ##### Stage: 4 Challenge Level:
  
  Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
  
  ### Perpendicular Lines
  
  ##### Stage: 4 Challenge Level:
  
  Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
  
  ### Three Way Split
  
  ##### Stage: 4 Challenge Level:
  
  Take any point P inside an equilateral triangle. Draw PA, PB and PC from P perpendicular to the sides of the triangle where A, B and C are points on the sides. Prove that PA + PB + PC is a constant.
  
  ### Shrink
  
  ##### Stage: 4 Challenge Level:
  
  X is a moveable point on the hypotenuse, and P and Q are the feet of the perpendiculars from X to the sides of a right angled triangle. What position of X makes the length of PQ a minimum?
  
  ### Angle Trisection
  
  ##### Stage: 4 Challenge Level:
  
  It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.
  
  ##### Stage: 4 Challenge Level:
  
  Find the area of the shaded region created by the two overlapping triangles in terms of a and b?
  
  ### Tricircle
  
  ##### Stage: 4 Challenge Level:
  
  The centre of the larger circle is at the midpoint of one side of an equilateral triangle and the circle touches the other two sides of the triangle. A smaller circle touches the larger circle and. . . .
  
  ### Similarly So
  
  ##### Stage: 4 Challenge Level:
  
  ABCD is a square. P is the midpoint of AB and is joined to C. A line from D perpendicular to PC meets the line at the point Q. Prove AQ = AD.
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