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Isosceles triangles

ABC is an isosceles triangle. Investigate the properties of the triangle by moving the sliders.

  1. List the properties of an isosceles triangle.
  2. Complete the following: "If two sides of a triangle are equal, then the angles opposite these sides are ..."
  3. What is the converse of the statement in question (2)?
  4. If the base angles of a triangle are equal then the triangle is said to be isosceles. By this definition, what can be said of an equilateral triangle?