7th Class Mathematics Congruence of Triangles Question Bank

done Congruence of Triangles Total Questions - 30

• question_answer1)
  Which of the following statements is INCORRECT?                      
  A)
   Two triangles having same area are congruent. done clear
  B)
   If two sides and one angle of a triangle are equal to the corresponding two sides and the angle of another triangle, then the two triangles are congruent.                        done clear
  C)
   If the hypotenuse of one right angled triangle is equal to the hypotenuse of another right angled triangle, then the triangles are congruent.             done clear
  D)
   All of these                         done clear
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• question_answer2)
  In \[\Delta ABC,\text{ }AB=AC\]and AD is perpendicular bisector of BC. The property by which \[\Delta ADB\] is not congruent to \[\Delta ADC\] is ____.
  A)
   SAS property              done clear
  B)
   SSS property done clear
  C)
          RHS property   done clear
  D)
          AAA property done clear
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• question_answer3)
  In the given figure, \[PA\bot AB,\text{ }QB\bot AB\]and \[\Delta OAP=\Delta OBQ,\]then                        
  A)
   \[PA=OB\]                 done clear
  B)
   \[AP=QB\]    done clear
  C)
          \[OP=BQ\]      done clear
  D)
         \[OA=OQ\]    done clear
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• question_answer4)
  In the given figure, triangles ABC and DCB are right angled at A and D respectively and \[AC=DB,\]then \[\Delta ABC\cong \Delta DCB\] by _____ criterion.
  A)
   AAA                            done clear
  B)
   SAS    done clear
  C)
   ASS                done clear
  D)
          None of these done clear
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• question_answer5)
  In the given figure, ABC is an isosceles triangle in which\[AB=AC\]. If E and F be the midpoints of AC and AB respectively, then BE is equal to ____.
  A)
   CF                              done clear
  B)
   AB                  done clear
  C)
   CE                  done clear
  D)
          BF                  done clear
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• question_answer6)
  If you want to prove that \[\Delta FED\cong \Delta RQP\] using the SAS criterion where \[\angle D=\angle P,\] then:
  A)
   FD = QP done clear
  B)
   QP = ED done clear
  C)
   FD = RP done clear
  D)
   Both (b) and (c) done clear
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• question_answer7)
  Which congruence criterion can be used to conclude\[\Delta XYZ=\Delta QPR\]?
  A)
   SAS                            done clear
  B)
   SSS                done clear
  C)
          RHS               done clear
  D)
          None of these              done clear
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• question_answer8)
  If\[\Delta AOC\cong \Delta ODB,\]. then measure of \[\angle ODB\] is            
  A)
   \[{{100}^{o}}\]                   done clear
  B)
   \[{{50}^{o}}\]                     done clear
  C)
          \[{{80}^{o}}\]                     done clear
  D)
          None of these done clear
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• question_answer9)
  If \[\Delta ABC\cong \Delta PRQ,\] then \[\angle B\] and PQ are respectively equal to                 
  A)
   \[\angle P\] and AC                 done clear
  B)
   \[\angle P\] and BC  done clear
  C)
          \[\angle R\] and AC     done clear
  D)
          \[\angle Q\] and AB  done clear
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• question_answer10)
  In the given figure, if \[AB=AD\]and \[CB=CD,\]then                        
  A)
   \[\Delta ABC\cong \Delta ADC\] done clear
  B)
   \[\Delta BCA=\Delta DCA\] done clear
  C)
   \[\Delta ADC=\Delta ABC\] done clear
  D)
   All of these           done clear
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• question_answer11)
  In the given figure, if \[\Delta OAP=\Delta OBQ,\]then which of the following is NOT true?       
  A)
   AO = BO      done clear
  B)
   AP = SO                    done clear
  C)
   PO = BO      done clear
  D)
          \[\angle APO=\angle BQO\] done clear
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• question_answer12)
  \[\Delta PQR\cong \Delta XYZ\]by ____congruency rule.
  A)
   SSS                            done clear
  B)
   AAA    done clear
  C)
   SAS                done clear
  D)
          ASA done clear
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• question_answer13)
  Which congruence criterion can be used to state that\[\Delta XOY=\text{ }\Delta POQ\]?
  A)
   ASA                            done clear
  B)
   SAS    done clear
  C)
          SSS                done clear
  D)
          RHS   done clear
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• question_answer14)

  DIRECTION: Study the figure and information given below carefully and answer the following questions.

  CF and AE are equal perpendiculars on BD, BF = FE = ED.

  \[\Delta \,ABE\] is congruent to
  A)
   \[\Delta \,AED\]       done clear
  B)
   \[\Delta \,BFC\]           done clear
  C)
          \[\Delta \,CDF\]        done clear
  D)
          \[\Delta \,BCD\] done clear
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• question_answer15)

  DIRECTION: Study the figure and information given below carefully and answer the following questions.

  CF and AE are equal perpendiculars on BD, BF = FE = ED.

  \[\angle BAE=\] ..................
  A)
   \[\angle BCD\]        done clear
  B)
          \[\angle CBA\] done clear
  C)
          \[\angle ADC\]        done clear
  D)
          \[\angle DCF\] done clear
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• question_answer16)
  Select the odd one out.
  A)
     done clear
  B)
    done clear
  C)
    done clear
  D)
    done clear
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• question_answer17)
  If for \[\Delta ABC\]and \[\Delta DEF,\]the correspondence \[CAB\leftrightarrow EDF\]gives a congruence, then which of the following is NOT true?
  A)
   AC = DE       done clear
  B)
   AB = EF        done clear
  C)
          \[\angle A=\angle D\]       done clear
  D)
          \[\angle C=\angle E\] done clear
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• question_answer18)
  By which congruency criterion, \[\Delta PQR\cong \Delta PQS\]?       
  A)
   RHS                           done clear
  B)
   ASA    done clear
  C)
          SSS                done clear
  D)
          SAS done clear
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• question_answer19)
  In two triangles PQR and LMN, PQ = QR\[\angle P=\angle M\]and QR = LN,, then which of the following statements is CORRECT?
  A)
   Triangles are congruent only done clear
  B)
   Triangles are isosceles only done clear
  C)
   Triangles are both congruent and isosceles done clear
  D)
   None of these done clear
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• question_answer20)
  In the given figure, If PR - QR, \[\angle SRP=\angle TRQ\]and \[\angle SQP=\angle TPO,\]then            
  A)
   \[\Delta SQR\cong \Delta PTR\]& \[SR=TR\] done clear
  B)
   \[\Delta SOR\cong \Delta TPR\]& \[SR=TR\] done clear
  C)
   \[\Delta RQS\cong \Delta TPR\]& \[SR=TR\] done clear
  D)
   \[\Delta QRS\cong \Delta PRT\] & \[SR=RT\] done clear
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• question_answer21)
  Ananya is designing the window shown in the figure. She wants to make \[\Delta PRQ\]congruent to \[\Delta PRS.\]She designs the window so that\[PR\bot QS\]. Which of the following conditions will make the two triangles congruent?  
  A)
   RQ = RS                    done clear
  B)
   PQ = PS           done clear
  C)
             Both (a) and (b) done clear
  D)
   None of these                   done clear
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• question_answer22)
  Two satellites are being launched such that their distance while moving in their respective orbits, are equal from Earth and Moon.                                   Which of the following statements is/are true?
  A)
   Figure X is not congruent to figure Y. done clear
  B)
   \[\angle 1\] and \[\angle 2\] are not equal. done clear
  C)
   Both (a) and (b) done clear
  D)
   None of these done clear
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• question_answer23)
  Akira gave a problem to her sister Kiara. However, Kiara got stuck. Help Kiara identify whether the triangles are congruent and choose the correct option.
  A)
   Yes, \[\Delta ABC\cong \Delta DCE\] done clear
  B)
   No, they are not congruent         done clear
  C)
   Yes. \[\Delta DCE\cong \Delta CAB\] done clear
  D)
   Yes, \[\Delta DEC\cong \Delta CAB\] done clear
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• question_answer24)
  Three students Pia, Sia and Tia wrote a statement on a blackboard.                Pia wrote, "All rectangles are congruent".   Sia wrote, "All equilateral triangles are congruent".                               Tia wrote, "All right angled triangles are congruent".                               Who wrote the INCORRECT statement?
  A)
   Pia                  done clear
  B)
   Sia                  done clear
  C)
   Tia                  done clear
  D)
          All of them done clear
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• question_answer25)
  Tiara wants to know the width of the given river. While doing so, she stands on the edge of the river and look straight across to a point on the other edge without changing the inclination of the neck and head. She turns side ways until the vision is in line with a point on the side of the stream. From the above description, find the value of QR.            
  A)
   25 units done clear
  B)
   12 units done clear
  C)
   15 units done clear
  D)
   Can't be determined done clear
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• question_answer26)
  Match the figures in Column-l with their corresponding congruence criterion given in Column-N.

  Column I	Column II
  (i)	(a) ASA congruency
  (ii)	(b) RHS congruency
  (iii)	(c) SSS congruency
  (iv)	(d) SAS congruency

  A)
   (i)\[\to \](b), (ii)\[\to \](d), (iii)\[\to \](a), (iv)\[\to \](c) done clear
  B)
   (i)\[\to \](c), (ii)\[\to \](a), (iii)\[\to \](b), (iv)\[\to \](d) done clear
  C)
   (i)\[\to \](b), (ii)\[\to \](c), (iii)\[\to \](a), (iv)\[\to \](d) done clear
  D)
   (i)\[\to \](a), (ii)\[\to \](c), (iii)\[\to \](b), (iv)\[\to \](d) done clear
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• question_answer27)
  Which of the following statements is CORRECT? Statement-1: Two triangles are said to be congruent. If two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other. Statement-2: Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.
  A)
   Only Statement-1 done clear
  B)
   Only Statement-2 done clear
  C)
   Both Statement-1 and Statement-2 done clear
  D)
   Neither Statement-1 nor Statement-2 done clear
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• question_answer28)
  Which of the following statements is CORRECT?
  A)
   In an isosceles triangle, the angles opposite to equal sides are equal. done clear
  B)
   The bisector of the vertical angle of an isosceles triangle bisects the base at right angles.                     done clear
  C)
   If the hypotenuse and an acute angle of one right angled triangle is equal to the hypotenuse and the corresponding acute angle of another triangle, then the triangles are congruent.         done clear
  D)
   All of these done clear
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• question_answer29)
  Which of the following pair of triangles are congruent by RHS criterion?

  (i)	(ii)
  (iii)	(iv)

  A)
   (i) and (ii) done clear
  B)
   (iii) and (iv) done clear
  C)
   (i) and (iii) done clear
  D)
   (ii) and (iv) done clear
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• question_answer30)
  State T for true and 'F' for false.

  1. To examine the congruency of plane figures, the superposition method is used.

  2. If two line segments have different lengths, they are congruent.

  3. The measure of two congruent angles is the same.

  4. Object which are exact copies of one another are called plane objects.

  5. If the corresponding angles of two triangles are equal, the triangles are said to be congruent.

  A)

  1	2	3	4	5
  T	T	F	T	F

                  done clear
  B)

  1	2	3	4	5
  T	F	T	F	T

                  done clear
  C)

  1	2	3	4	5
  T	F	T	F	F

  done clear
  D)

  1	2	3	4	5
  T	F	T	T	T

  done clear
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