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Congruence in Right Triangles Quiz Review

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  • Describe an isosceles triangle.
    Two equal sides, two equal angles
  • True or False? All equilateral triangles are isosceles.
    True
  • What is the value of y?
    50*
  • What is statement #4 in the proof?
    SD = SD
  • What is reason #3 in the proof?
    Given
  • Describe an equilateral triangle by its sides and angles.
    All sides are equal, all angles are equal
  • R, S, and T make one triangle. E, F and D make another triangle. <R = 60*, <S = 80*, <F = 60*, <D = 40*, RS = 4, and EF = 4. If the triangles are congruent, which Triangle Congruence Property was used? Which side is congruent to RT?
    Yes, by ASA, FD = RT
  • What is reason #5 in the proof?
    HL
  • What is reason #4 in the proof?
    CPCTC
  • What is reason #3 in the proof?
    ASA
  • How does the hypotenuse of a triangle compare to the other legs?
    The hypotenuse is the longest side
  • How can proving 2 triangles congruent help you prove certain parts of the triangles are congruent?
    CPCTC
  • What is the value of x?
    90*
  • What is the value of x?
    65*
  • What is reason #2 in the proof?
    Def. of Perpendicular
  • The 2 congruent angles in an isosceles triangle are called _____ angles.
    Base
  • Given RS = ST, <RST = 7x + 2, <STU = 4x. Find the value of x.
    x = 182*
  • What additional information do we need in order to prove these triangles congruent by HL Theorem?
    AC = DC or BC = CE or AC = CE or BC = CD