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Test: Midlines of triangles and trapezoids

Dynamic tasks on triangle and trapezoid midlines, isosceles and equilateral triangles, and the 30° property.

Question qty: 10
Duration in minutes: 17
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Sample questions

  • The vertex angle of an isosceles triangle is a°. Find each base angle.
  • A triangle midline is m cm. Find the parallel side length.
  • What are the angles of an equilateral triangle?
  • Which definition correctly describes a triangle midline?
  • A right triangle has hypotenuse c cm. Find the leg opposite the 30° angle.
  • One base of a trapezoid is a cm and its midline is m cm. Find the other base.
  • A trapezoid has bases a cm and b cm. Find its midline.
  • A triangle side is a cm. Find the length of the parallel midline.

Midlines of triangles and trapezoids

A triangle midline joins the midpoints of two sides, is parallel to the third side and has half its length. A trapezoid midline joins the midpoints of its legs, is parallel to the bases and has length m = (a + b)/2.

Related triangle properties

An isosceles triangle has equal base angles, while every angle of an equilateral triangle is 60°. In a right triangle, the leg opposite 30° is half the hypotenuse. Distinguish a midline from a median in a diagram.

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