Midterm Review - Definitions, Theorems And Postulates

12 Questions | Total Attempts: 114

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Trigonometry Quizzes & Trivia

Geometry Review of 1st semester


Questions and Answers
  • 1. 
    Which congruency theorem/postulate proves that the triangles are congruent?
    • A. 

      ASA

    • B. 

      SAS or SSS

    • C. 

      Not possible

  • 2. 
    Name the reason for the following conclusion.If AC is perpendicular to BD, why is angle ADB = to angle CDB?
    • A. 

      Perpendicular lines form right angles

    • B. 

      Perpendicular lines form congruent angles.

    • C. 

      Angles ADB and CDB form a linear pair

    • D. 

      Angles ADB and CDB are supplementary

  • 3. 
    Why is angle ABC > angle ABD?
    • A. 

      Whole > Part

    • B. 

      GAGS

    • C. 

      Transitive Property

    • D. 

      Exterior Angle > Remote Interior angle

    • E. 

      Triangle Inequality Theorem

  • 4. 
    Why is angle CDB > Angle A?
    • A. 

      Whole > Part

    • B. 

      GAGS

    • C. 

      Transitive Property

    • D. 

      Exterior Angle > Remote Interior Angle

    • E. 

      Triangle Inequality Theorem

  • 5. 
    What series of reasons will give you DBC < BDC if you are given ABD > DBC?
    • A. 

      GAGS, Exterior Angle Theorem

    • B. 

      Exterior Angle Theorem, Transitive Property

    • C. 

      Triangle Inequality Theorem, Substitution

  • 6. 
    What additional information would need to be given to prove Triangle EGF is congruent to Triangle IGH by ASA if you are given G is the midpoint of HF
    • A. 

      G is also the midpoint of HI

    • B. 

      EF = IH

    • C. 

      Angle F = Angle H

    • D. 

      Angle E = Angle I

    • E. 

      EI is perpendicular to FH

  • 7. 
    If you are given that G is the midpoint of FH and EI, what reason tells you that Triangle EFG is congruent to Triangle IHG?
    • A. 

      SSS

    • B. 

      ASA

    • C. 

      SAS

  • 8. 
    If BD is the perpendicular bisector of side AC, what reason tells you that triangle ADB is congruent to triangle CDB?
    • A. 

      SSS

    • B. 

      ASA

    • C. 

      SAS

  • 9. 
    If BD is perpendicular to AC and bisects angle ABC, what reason says triangle ADB is congruent to triangle CDB?
    • A. 

      SSS

    • B. 

      ASA

    • C. 

      SAS

  • 10. 
    If Triangle ABC is isosceles with AB = CB, what angles can you say are congruent by Isosceles Triangle Theorem?
    • A. 

      Angle A = Angle C

    • B. 

      Angle ABD = Angle CBD

    • C. 

      Angle ADB = Angle CDB

  • 11. 
    If AF = CE, what reason tells you that AE = CF?
    • A. 

      Whole > Part

    • B. 

      Isosceles Triangle Theorem

    • C. 

      Segment Addition Theorem

    • D. 

      Angle Addition Theorem

    • E. 

      CPCTC

  • 12. 
    If you were given Triangle AFB congruent to Triangle AFD, what reason would tell you that angle ABF = Angle AD?
    • A. 

      Isosceles Triangle Theorem

    • B. 

      Angle Addition Theorem

    • C. 

      CPCTC