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Triangle inequalities theorems and exterior angle inequality theorem

Quiz by Glydel Cabale

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20 questions
Show answers
  • Q1
    In triangles PQR and STU, if side PQ is equal to side ST, angle PQR is greater than angle STU, and side QR is equal to side TU, what does this tell us about side PR and side SU based on the Hinge Theorem?
    PR is longer than SU
    PR is shorter than SU
    PR is equal to SU
    PR and SU cannot be compared
    30s
  • Q2
    In triangles ABC and DEF, suppose that side AB is equal to side DE, side BC is shorter than side EF, and angle ABC is equal to angle DEF. What can be concluded about the lengths of sides AC and DF according to the Converse of the Hinge Theorem?
    AC and DF cannot be compared
    AC is longer than DF
    AC is shorter than DF
    AC is equal to DF
    30s
  • Q3
    30s
  • Q4
    30s
  • Q5
    30s
  • Q6
    30s
  • Q7
    30s
  • Q8
    30s
  • Q9
    30s
  • Q10
    30s
  • Q11
    30s
  • Q12
    30s
  • Q13
    In two triangles, if two sides of one triangle are equal to two sides of another triangle, but the included angle of the first triangle is larger than the included angle of the second triangle, what can you say about the third sides according to the Hinge Theorem?
    The third side of the first triangle is longer than the third side of the second triangle.
    The third side of the first triangle is twice the third side of the second triangle.
    The third side of the first triangle is shorter than the third side of the second triangle.
    The third side of both triangles are equal.
    30s
  • Q14
    If two triangles have two sides of equal length, and the third side of the first triangle is longer than the third side of the second triangle, what can you conclude about the included angles of these triangles according to the converse of the Hinge Theorem?
    The included angle of the first triangle is half of the included angle of the second triangle.
    The included angles of both triangles are equal.
    The included angle of the first triangle is smaller than the included angle of the second triangle.
    The included angle of the first triangle is larger than the included angle of the second triangle.
    30s
  • Q15
    In triangle ABC, if side AB is 7 cm, side AC is 10 cm, and angle A is 60 degrees, what can you conclude about side BC if triangle DEF has side DE equal to 7 cm, side DF equal to 10 cm, and angle D equal to 45 degrees?
    BC is longer than EF.
    BC is shorter than EF.
    BC is equal to EF.
    BC is half of EF.
    30s

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