If Two Triangles Have the Same Areas and the Same

question 353

True/False

If two triangles have the same areas and the same length of altitude, these triangles must be congruent.

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Definitions:

Psychology

The scientific study of the human mind, behavior, and processes associated with how people think, feel, and interact with their environment.

Arrow's Impossibility Theorem

A theory in social choice stating that no rank-order voting system can convert the ranked preferences of individuals into a community-wide complete and transitive ranking without violating one of the criteria necessary for a fair vote.

Median Voter Theorem

A principle in political science proposing that the outcome of a majority vote is most likely to match the preferences of the median voter, assuming voters can be placed along a single-dimensional policy space.

Impossibility

A condition or situation that cannot be achieved or is unattainable.