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Triangle congruence

Quiz by MARY JOY V. DAYO

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20 questions
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  • Q1
    Which triangle congruence criterion states that two triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle?
    AAS (Angle-Angle-Side)
    SSS (Side-Side-Side)
    ASA (Angle-Side-Angle)
    SAS (Side-Angle-Side)
    30s
  • Q2
    In triangle congruence, which criterion involves three pairs of equal corresponding sides?
    ASA (Angle-Side-Angle)
    AAS (Angle-Angle-Side)
    SAS (Side-Angle-Side)
    SSS (Side-Side-Side)
    30s
  • Q3
    Which of the following is true about two triangles if they are congruent by the ASA (Angle-Side-Angle) criterion?
    Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
    All three angles and all three sides of one triangle are equal to all three angles and all three sides of another triangle.
    All three sides of one triangle are equal to all three sides of another triangle.
    Two sides and a non-included angle of one triangle are equal to two sides and a non-included angle of another triangle.
    30s
  • Q4
    Which triangle congruence criterion involves two angles and a non-included side?
    AAS (Angle-Angle-Side)
    ASA (Angle-Side-Angle)
    SSS (Side-Side-Side)
    SAS (Side-Angle-Side)
    30s
  • Q5
    If two triangles are congruent by the RHS (Right angle-Hypotenuse-Side) criterion, what must be true about these triangles?
    The triangles have all sides equal.
    The triangles have all angles equal and one side equal.
    Both triangles have a right angle, their hypotenuses are equal, and one other pair of corresponding sides are equal.
    The triangles have no right angles but all corresponding sides are equal.
    30s
  • Q6
    Which criterion would prove two triangles congruent if they each have two equal angles and the side between these angles equal?
    SSS (Side-Side-Side)
    AAS (Angle-Angle-Side)
    SAS (Side-Angle-Side)
    ASA (Angle-Side-Angle)
    30s
  • Q7
    Which triangle congruence criterion is used when you know two pairs of sides and the angle opposite one of those sides are equal in two triangles?
    SSS (Side-Side-Side)
    ASA (Angle-Side-Angle)
    SAS (Side-Angle-Side)
    AAS (Angle-Angle-Side)
    30s
  • Q8
    What must be true for two triangles to be congruent using the SSS (Side-Side-Side) criterion?
    All three pairs of corresponding sides in the triangles are equal.
    Two angles and the included side are equal in both triangles.
    One angle and two sides not forming that angle are equal in both triangles.
    Two sides and the included angle are equal in both triangles.
    30s
  • Q9
    Which triangle congruence criterion states that if two angles and a non-included side in one triangle are equal to two angles and the corresponding non-included side in another triangle, the triangles are congruent?
    SAS (Side-Angle-Side)
    AAS (Angle-Angle-Side)
    ASA (Angle-Side-Angle)
    SSS (Side-Side-Side)
    30s
  • Q10
    When can the ASA (Angle-Side-Angle) criterion be used to prove two triangles are congruent?
    When two angles and a side not between them in one triangle are equal to two angles and a side not between them in another triangle.
    When all three sides of one triangle are equal to all three sides of another triangle.
    When three angles in one triangle are equal to three angles in another triangle.
    When two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle.
    30s
  • Q11
    Which of the following criteria can directly prove that two triangles are congruent?
    Side-Angle-Side (SAS)
    Angle-Side-Angle (ASA)
    Side-Side-Side (SSS)
    Angle-Angle (AA)
    30s
  • Q12
    Which theorem can be used to show that two right triangles are congruent if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle?
    Angle-Side-Angle (ASA)
    Side-Angle-Side (SAS)
    Hypotenuse-Leg (HL) Theorem
    Side-Side-Side (SSS)
    30s
  • Q13
    If two triangles have two pairs of congruent sides and a pair of non-included congruent angles, which triangle congruence criterion does this satisfy?
    Angle-Side-Angle (ASA)
    It does not satisfy a congruence criterion
    Side-Side-Side (SSS)
    Side-Angle-Side (SAS)
    30s
  • Q14
    Which of the following congruence postulates requires knowledge of all three sides of a triangle?
    Angle-Angle-Side (AAS)
    Side-Angle-Side (SAS)
    Angle-Side-Angle (ASA)
    Side-Side-Side (SSS)
    30s
  • Q15
    What is the condition necessary for two triangles to be congruent by the Angle-Angle-Side (AAS) criterion?
    Two sides and an included angle are congruent
    Two angles and a non-included side are congruent
    One angle and two sides are congruent
    Two sides are congruent
    30s

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