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Congruent triangles

Quiz by Kristina Johnsen

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9 questions
Show answers
  • Q1
    In which case are two triangles definitely congruent?
    When the three angles of one triangle are equal to the three angles of another triangle
    When two sides and the included angle of one triangle are equal to two sides and an angle of the other triangle
    When two angles and a side of one triangle are equal to two angles and a side of the other triangle
    When all three sides of one triangle are equal to all three sides of the other triangle
    30s
  • Q2
    If triangle ABC is congruent to triangle DEF, which of the following statements must be true?
    Angle A = Angle D, Angle B = Angle E, Angle C = Angle F
    AB = DE, BC = EF, AC = DF
    AB + BC = DE + EF
    Triangle ABC has a larger area than triangle DEF
    30s
  • Q3
    Which of the following criteria is NOT sufficient to prove that two triangles are congruent?
    SAS (Side-Angle-Side)
    AAA (Angle-Angle-Angle)
    ASA (Angle-Side-Angle)
    SSS (Side-Side-Side)
    30s
  • Q4
    If triangles ABC and DEF are congruent by ASA (Angle-Side-Angle), which of the following must be true?
    Angle A = Angle D, Angle B = Angle F, and AB = DF
    Angle A = Angle E, Angle C = Angle F, and AC = EF
    Angle B = Angle D, Angle A = Angle E, and BC = DE
    Angle A = Angle D, Angle B = Angle E, and AB = DE
    30s
  • Q5
    Which congruence criterion guarantees that two right triangles are congruent?
    Angle-Side-Angle (ASA)
    Hypotenuse-Leg (HL)
    Side-Angle-Side (SAS)
    Side-Side-Side (SSS)
    30s
  • Q6
    Which combination of measurements is sufficient to prove triangle congruence?
    One side and two non-included angles
    Two sides and the included angle
    Three angles
    Two angles and any side
    30s
  • Q7
    Which of the following statements is true if triangles ABC and XYZ are congruent?
    Angle A = Angle Y, AB = XZ, and BC = ZX
    Angle A = Angle X, AB = XY, and BC = YZ
    Angle C = Angle X, AB = YZ, and AC = XY
    Angle B = Angle Z, BC = XY, and CA = YZ
    30s
  • Q8
    Which of the following is NOT a criterion for triangle congruence?
    SAS (Side-Angle-Side)
    SSS (Side-Side-Side)
    ASA (Angle-Side-Angle)
    SSA (Side-Side-Angle)
    30s
  • Q9
    Triangular plots of land ABC and DEF are congruent. What can be said about their corresponding angles and sides?
    The corresponding angles and sides of triangle ABC are equal to those of triangle DEF
    The angles of triangle ABC are each twice those of triangle DEF
    Only two corresponding sides of triangle ABC and DEF are equal
    The sides of triangle ABC are each half of those of triangle DEF
    30s

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