Multiple Choice Practice
Triangles
Geometry Level
Geometry Index | Regents Exam Prep Center


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Triangles
 

Directions:  Choose the best answer.  Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers.  If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again.   You may CHECK ANSWERS at any time.
You may use your graphing calculator when working on these problems.

1.   
       [1]  15                [2]  30                 [3]  50                [4]  90

 

 

 2.   
Which of the following methods can be used to prove
     [1]  Side-Angle-Side (SAS)
     [2]  Angle-Side-Angle (ASA)
     [3]  Angle-Angle-Side (AAS)
     [4]  There is insufficient information to
                determine if the triangles are congruent.

 

3.  In triangle ABC, m<A = 48°, and m<C = 24°.   What type of triangle is triangle ABC ?

     [1] acute         [2]  right               [3]  obtuse             [4]  isosceles
 

 

4.  Two sides of an isosceles triangle measure 3 and 7.  Which of the following could be the measure of the third side?

     [1]  9               [2]  7                    [3]  5                 [4]  3
 

 

5.  In the diagram at the right, .
If the m<ACD = 48, find the m<B.

     [1]  24°
     [2]  33°
     [3]  48°
     [4]  66°

 

 

6.  The diagram at the right shows a right triangle with representations for two angles.  What is the value of x?

     [1]  15
     [2]  20
     [3]  24
     [4]  30


 

7.  The midpoints of the sides of triangle ABC are labeled D, E and F.  If the perimeter of triangle DEF is 24, find the perimeter of triangle ABC.

    [1]  48                [2]  72               [3]  96                [4]  120
 

 

 

8.  In the diagram at the right, the angles are represented as shown.  Find the m<DBC.  

  [1]  25°           [2]  125°
  [3]  155°         [4]  158°

 

9.  The vertex angle of an isosceles triangle measures eight times the measure of a base angle.  Find the measure of a base angle.

     [1]  18°                 [2]  24°                 [3]  36°                  [4]  43°
 

 

10. The sides of a triangle are 5, 6 and 10.  Find the length of the longest side of a similar triangle whose shortest side is 15.

     [1]  10                  [2]  15                   [3]  18                   [4]  30
 

 

11.  A frisbee lands on the top of a 15' concrete wall.  To retrieve the frisbee, a ladder must be placed such that the foot of the ladder is 6 feet from the base of the wall and the top of the ladder rests on the top of the wall.  Which choice is the shortest length ladder that can be used?

     [1]  15'                 [2]  16'                  [3]  17'                  [4]  18'
 

 

12.  In triangle ABC, m<A = 60 and m<B = 40.  Which side of triangle ABC is the longest? 

     [1]                [2]                   [3]               [4] 
 

 

13.  At a certain time of the day, the shadow of a 5' boy is 8' long.  The shadow of a nearby flagpole at this same time is 28' long.  How tall is the flagpole?

      [1]  8.5'               [2]  16'                    [3]  17.5'               [4]  20' 
 


 

14.  Which of the following lengths are the sides of a right triangle? 
      [1]
  2.4,  3.2,   4  
      [2]  4.3,  4.4,  4.5
      [3]  3.1,  4.2,  4.8
      [4]  All of the above.


 

 

15. 
Which of the following methods can be used to prove that  ?
     [1]  Side-Angle-Side (SAS)
     [2]  Angle-Side-Angle (ASA)
     [3]  Side-Side-Side (SSS)
     [4]  There is insufficient information to
                determine if the triangles are congruent.

 

 

16.  Find x to the nearest tenth. 
     [1] 6.9

     [2] 8.0
     [3] 13.9
     [4] 15.0

 

17.  In triangle ABC, <A is obtuse.  Which statement is true about the sum of the measures of <B and <C

     [1]  m<B + m<C  =  90
     [2]  m<B + m<C  >  90
     [3]  m<B + m<C  <   90
     [4]  m<B + m<C  =  180
 

 

18.  The legs of a right triangle measure 8 and 15.  If a leg and hypotenuse of another right triangle are 8 and 17 respectively, these two right triangles are congruent.

     [1]  TRUE               [2]  FALSE   

 

 

19.  In the accompanying diagram, triangle ABC is similar to triangle DEF, AC = 6, AB = BC = 12, and DF = 8. Find the perimeter of triangle DEF.  
    [1]  32   
    [2]  36
    [3]  40 
    [4]  60

 

20.  In the accompanying diagram, 
       
    
 

    [1] 117
    [2] 110
 
   [3] 63
  
[4] 27  

 




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