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Statement: 'A line from a vertex to the opposite side that is BOTH a median and an altitude must split the triangle into two congruent halves.'
Which answer is correct?

Class 7Medians and AltitudesTriangles
  • ATrue - the two halves are congruent right triangles
  • BFalse - they are never congruent
  • CTrue only for a right triangle
  • DFalse - only the areas are equal but not the shapes

Step-by-Step Solution

If the segment is both median (BD = DC) and altitude (perpendicular), the two halves share the segment, have equal bases and equal right angles, so they are congruent.
Answer: A) True - the two halves are congruent right triangles

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