Geometry Theorems and Axiomatic Reasoning Quiz

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Questions and Answers

Which theorem involves the sum of the interior angles of a triangle?

  • Triangle inequality theorem
  • Triangle sum theorem (correct)
  • Pythagorean theorem
  • Angle bisector theorem

In Geometry, what does the Angle Bisector Theorem state?

  • The sum of the interior angles of any triangle is equal to 180 degrees.
  • The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
  • The angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. (correct)
  • The area of a triangle is equal to half the product of two sides times the sine of the included angle.

Which theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side?

  • Hypotenuse-leg congruence theorem
  • Midpoint theorem
  • Triangle inequality theorem (correct)
  • Angle-side-angle congruence theorem

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