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HINGES THEOREM

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  • Refer to the figure. Compare ∠1 with ∠2.
    ∠1 > ∠2
  • In △EDF, ∠E=30°, ∠D=125°, and ∠F=25°, arrange the sides in descending order.
    answer
  • Refer to the given figure. What is the longest side in the ∆ABC?
    Segment AC
  • Arrange the sides of the triangle from longest to shortest.
    segment NE, segment ED, segment ND
  • What is the largest angle in the ∆RPQ? Refer to the given figure.
    ∠Q
  • Arrange the sides of the triangle from shortest to longest.
    segment BS, segment AS, segment AB
  • What theorem states that "If one angle of a triangle is larger than the second angle, then the side opposite the larger angle is longer than the side opposite the second angle."?
    Unequal Angles Theorem
  • If two sides of one triangle are congruent to two sides of another triangle, but the included angle of the first triangle is larger than the included angle of the second triangle, then the third side of the first triangle is longer than the
    Hinge Theorem
  • In ΔTRU, TR = 8 cm, RU = 9 cm, and TU = 10 cm. Arrange the angles in ascending order.
    ∠U, ∠T, ∠R