Math 444 Quiz #1

 

  1. Prove the following statement.
  2. Let ABC be a right triangle with right angle C. Prove that the midpoint M of hypotenuse AB is equidistant from the 3 vertices, i.e., |MA| = |MB| = |MC|.

    NOTE: You can assume all the axioms and theorems 1 - 12 in the section in B&B on similarity and also all the theorems on parallels.

     

     

     

     

     

     

     

     

     

  3. Given the segment AB below, construct the point C on AB such that AC/AB = 4/5.