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Triangle Relationships

Quiz by Joe Mahoney

High School
Geometry - Next Generation (2017)
New York State Next Generation Standards

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66 questions
Show answers
  • Q1
    In the diagram, AB || CD and GH = IH. If m<EGB = 50˚, what is m<HIG?
    Question Image
    Users enter free text
    Type an Answer
    300s
    GEO-G.CO.C
  • Q2
    In the diagram below, FE bisects AC at B, and GE bisects BD at C. Which statement is always true?
    Question Image
    AC bisects FE at B
    FB = EB
    AB = DC
    BD bisects GE at C
    300s
    GEO-G.CO.C
  • Q3
    In the diagram, m∠BDC = 100°, m∠A = 50°, and m∠DBC = 30°. Which statement is true?
    Question Image
    ∆ABC is isosceles.
    ∆ABC is obtuse.
    ∆ABC is scalene.
    m∠ABD = 80°
    300s
    GEO-G.CO.C
  • Q4
    Segment CD is the perpendicular bisector of AB at E. Which pair of segments does not have to be congruent?
    AE and BE
    AC and BC
    AD and BD
    DE and CE
    300s
  • Q5
    The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the smallest angle of the triangle is
    80
    60
    20
    40
    300s
    GEO-G.CO.C
  • Q6
    The vertex angle of an isosceles triangle measures 15 degrees more than one of its base angles. How many degrees are there in a base angle of the triangle?
    55
    65
    70
    50
    300s
    GEO-G.CO.C
  • Q7
    Which numbers could represent the lengths of the sides of a triangle?
    7, 7, 15
    5, 9, 14
    1, 2, 4
    3, 6, 8
    300s
    GEO-G.CO.C
  • Q8
    The three medians of a triangle intersect at a point. Which measurements could represent the segments of one of the medians?
    3 and 9
    2 and 3
    3 and 6
    3 and 4.5
    300s
    GEO-G.CO.C
  • Q9
    In ABC, m∠A = 3x + 1, m∠B = 4x - 17, and m∠C = 5x - 20. Which type of triangle is ABC?
    obtuse
    isosceles
    scalene
    right
    300s
    GEO-G.CO.C
  • Q10
    In ABC, m∠A = 60˚, m∠B = 80˚, and m∠C = 40˚. Which inequality is true?
    AB > AC
    AC > BC
    AB > BC
    AB > BC
    300s
    GEO-G.CO.C
  • Q11
    In the diagram below, LMO is isosceles with LO = MO. If m∠L = 55˚ and m∠NOM = 28˚, what is m∠N?
    Question Image
    27
    28
    70
    42
    300s
    GEO-G.CO.C
  • Q12
    In the diagram below of △ACE, medians AD, EB, and CF intersect at G. The length of FG is 12. What is the length of CG?
    Question Image
    6
    24
    12
    4
    300s
    GEO-G.CO.C
  • Q13
    In the diagram of △KLM below, m∠L = 70˚, m∠M = 50˚, and MK is extended through N. What is the measure of ∠LKN?
    Question Image
    110˚
    130˚
    60˚
    120˚
    300s
    GEO-G.CO.C
  • Q14
    In △DEF, m∠D = 3x + 5, m∠E = 4x − 15, and m∠F = 2x + 10. Which statement is true?
    m<D = m<F
    m<E = m<F
    DF = EF
    DE = FE
    300s
    GEO-G.CO.C
  • Q15
    In isosceles triangle ABC, AB = BC. Which statement will always be true?
    m∠A > m∠B
    m∠B = m∠A
    m∠C < m∠B
    m∠A = m∠C
    300s
    GEO-G.CO.C

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