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Isosceles and Equilateral Triangles

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  • Find the value of each variable.
    x = 20, y = 7
  • Find the value of x.
    x = -8
  • Find the value of x.
    x = 12
  • each angle of an equilateral triangle measures ___.
    60 degrees
  • a triangle is equilateral if and only if it is _____.
    equiangular
  • Find the value of x.
    x = 10
  • How do you call the angle which sides are the legs on an isosceles triangle?
    vertex angle
  • ΔVZY
  • How do you call the side of an isosceles triangle opposite the vertex angle?
    base
  • Find the value of each variable.
    x = 17, y = 4
  • Find the measure of ∠J and ∠K
    ∠J = 68 and ∠K = 44
  • ΔWVX
  • Which statement correctly names two congruent angles?
    ∠PJM ≅ ∠PMJ
    ∠JMK ≅ ∠JKM
    ∠PML ≅ ∠PLK
    ∠KJP ≅ ∠JKP
  • Isosceles triangle theorem states that, if two _____ of an isosceles triangle are equal then the _____ opposite to the equal sides will also have the same measure.
    sides, angles
  • ∠T ≅ ∠G
  • How do you call the angles formed by the base and the congruent sides of an isosceles triangle?
    base angles
  • Find the value of x.
    x = 11
  • ΔVYX
  • The Converse of the Isosceles Triangle Theorem states: If two _____ of a triangle are congruent, then _____ opposite those angles are congruent.
    angles, sides
  • Which statement correctly names two congruent segments?
    JK ≅ MK
    PM ≅ PJ
    JP ≅ PL
    PM ≅ PK
  • How do you call the two congruent sides of an isosceles triangle?
    legs