7th Class Mathematics Congruence of Triangles Question Bank

done Congruence of Triangles Total Questions - 40

• question_answer1)
  Two students drew a line segment each. What is the condition for them to be congruent?
  A)
   They should be drawn with a scale. done clear
  B)
   They should be drawn on the same sheet of paper. done clear
  C)
   They should have different lengths. done clear
  D)
   They should have the same length. done clear
  View Solution play_arrow

• question_answer2)
  In \[\Delta ABC\], AB=AC and AD is perpendicular to BC. State the property by which\[\Delta ADB\cong \Delta ADC\].
  A)
   S.A.S. property done clear
  B)
   S.S.S. property  done clear
  C)
   R.H.S. property     done clear
  D)
   A.S.A. property done clear
  View Solution play_arrow

• question_answer3)
  The given figure shows \[\Delta ABC\] & \[\Delta DBC,\] \[AB=DB\]and \[CA=CD\]                         What is the measure of \[\angle DBC\]?
  A)
   \[115{}^\circ \]                     done clear
  B)
   \[100{}^\circ \]           done clear
  C)
   \[150{}^\circ \]                     done clear
  D)
   \[155{}^\circ \] done clear
  View Solution play_arrow

• question_answer4)
  In the given figure \[PQ||RS\] What is the value of \[(PR+QS)\]?
  A)
   \[21\,cm\]                    done clear
  B)
   \[28\,cm\]         done clear
  C)
   \[25\,cm\]           done clear
  D)
   \[31\,cm\] done clear
  View Solution play_arrow

• question_answer5)
  In the given figure, \[\Delta \,ABC\] is congruent to \[\Delta \,PQR\]. What is the value of \[(m+2n+3p)\]
  A)
   8                                 done clear
  B)
   10           done clear
  C)
   17                               done clear
  D)
   19 done clear
  View Solution play_arrow

• question_answer6)
  The given figure shows \[\Delta \,ABC\] with equal altitudes BE and CF. What is the perimeter of \[\Delta \,ABC\]?
  A)
   19 cm                         done clear
  B)
   21 cm         done clear
  C)
   24 cm            done clear
  D)
   25 cm done clear
  View Solution play_arrow

• question_answer7)
  In the given figure, if \[AD=BC\] and \[AD||BC\]which of the following is true?
  A)
   \[AB=AD\]    done clear
  B)
   \[AB=DC\]    done clear
  C)
   \[BC=CD\]                 done clear
  D)
   \[AC=AD\] done clear
  View Solution play_arrow

• question_answer8)
  Which of the following is a pair of congruent figures?
  A)
   A regular pentagon and a regular hexagon. done clear
  B)
   A rhombus and a square. done clear
  C)
   Two equilateral triangles of the same length of their sides. done clear
  D)
   A quadrilateral and a rectangle. done clear
  View Solution play_arrow

• question_answer9)
  Two triangles, \[\Delta PQR\] and \[\Delta XYZ\] are of the same size and shape. What can we conclude about them?
  A)
   \[\Delta PQR\] is smaller than \[\Delta XYZ\]       done clear
  B)
   \[\Delta PQR\] is larger than \[\Delta XYZ\] done clear
  C)
   \[\Delta PQR\]is congruent to \[\Delta XYZ\]   done clear
  D)
   \[\Delta PQR\] is not congruent to \[\Delta XYZ\] done clear
  View Solution play_arrow

• question_answer10)
  Which of the following examines the congruence of plane figures?
  A)
   Trial and error method              done clear
  B)
   Superposition method done clear
  C)
   Substitution method                done clear
  D)
   Transposition method done clear
  View Solution play_arrow

• question_answer11)

  Student A: 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.

  Student R: Two triangles are congruent if two sides and the included angle of one are equal to the corresponding two sides and included angle of the other.

  Given A & R, which of the following statements is correct?
  A)
   A is false and R is the correct explanation of A. done clear
  B)
   A is true and R is the correct explanation of A. done clear
  C)
   A is true and R is false.               done clear
  D)
   A is false and R is true. done clear
  View Solution play_arrow

• question_answer12)
  In the given figure, AC is equal to BD. What is the measure of \[\angle CAD\]?
  A)
   \[20{}^\circ \]          done clear
  B)
   \[25{}^\circ \]            done clear
  C)
   \[35{}^\circ \]                       done clear
  D)
   \[60{}^\circ \] done clear
  View Solution play_arrow

• question_answer13)

  The given figure shows \[\Delta ABC\] and \[\Delta PQR\] with \[AB=QR\].

  What is the value of \[(AB+5BC+3AC+2RP-3PQ-QR)\]?
  A)
   60                               done clear
  B)
   55            done clear
  C)
   70         done clear
  D)
   25 done clear
  View Solution play_arrow

• question_answer14)
  In \[\Delta ABC,\] \[AB=AC\] and AD is perpendicular to BC. The property by which \[\Delta ADB\] is 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
  View Solution play_arrow

• question_answer15)
  If the given two Ales arc congruent, then what is true?
  A)
   \[AB=DE\]                 done clear
  B)
   AC=DF      done clear
  C)
   \[BC=DF\]                 done clear
  D)
   \[AB=DF\] done clear
  View Solution play_arrow

• question_answer16)
  In this given figure, \[PS=SR\] and \[PQ=QR\]. Which of the following is the correct conclusion?
  A)
   \[\Delta PQR\] and \[\Delta RQS\] are isosceles triangle. done clear
  B)
   QS bisects \[\angle PSR\]. done clear
  C)
   QS bisects \[\angle QPS\] done clear
  D)
   \[\Delta \,PQR\] and \[\Delta \,RQS\] are equilateral triangles. done clear
  View Solution play_arrow

• question_answer17)
  In the given figure, \[AB=AC\] and AD is the bisector of \[\angle BAC\]. Which among the following statements is true?
  A)
  \[\Delta ADB\,\cong \,\Delta ABC\]   done clear
  B)
  \[\Delta ADC\,\cong \,\Delta ABC\] done clear
  C)
  \[\angle B=\angle C\]                done clear
  D)
  \[\angle ABC=\angle CAB\] done clear
  View Solution play_arrow

• question_answer18)
  Which of the following is an example of A.S.A. criterion of congruency for two triangles \[\Delta ABC\]  and \[\Delta DEF\]?
  A)
   \[AB=EF,\text{ }\angle B=\angle E\] and \[\angle C=\angle F\]   done clear
  B)
   \[BC=EF,\text{ }\angle B=\angle E\] and \[\angle C=\angle F\] done clear
  C)
   \[AC=EF,\text{ }\angle B=\angle D\] and \[\angle C=\angle F\] done clear
  D)
   \[AC=DE,\text{ }\angle B=\angle D\] and \[\angle C=\angle F\] done clear
  View Solution play_arrow

• question_answer19)
  State the property by which \[\Delta ADB\cong \Delta ADC,\]where AD is angle bisector of \[\angle BAC\].
  A)
   SAS property done clear
  B)
   SSS property   done clear
  C)
   RHS property             done clear
  D)
   ASA property done clear
  View Solution play_arrow

• question_answer20)
  In the given figure if \[AD=BC\] and \[AD||BC,\] then
  A)
   \[AB=AD\]    done clear
  B)
   \[AB=DC\]    done clear
  C)
   \[BC=CD\]                 done clear
  D)
   \[AD=CD\] done clear
  View Solution play_arrow

• question_answer21)
  In \[\Delta PQR,\text{ }PS\bot QR,\text{ }\angle Q=\angle R\]. State by which property \[\Delta PSQ=\cong \Delta PSR\]?
  A)
   SAS property                   done clear
  B)
   ASA property done clear
  C)
   RHS property                  done clear
  D)
   All i.e. (a), (b) and (c) done clear
  View Solution play_arrow

• question_answer22)
  Which type of triangle is formed by \[BC=7.2\text{ }cm,\] \[AC=6\text{ }cm\] and \[\angle C=120{}^\circ \]?
  A)
   An acute angled triangle. done clear
  B)
   An obtuse angled triangle. done clear
  C)
   A right angled triangle. done clear
  D)
   An isosceles triangle. done clear
  View Solution play_arrow

• question_answer23)
  In the given figure, line PRT is parallel to SQN. If \[RS=8\text{ }cm\] what is the length of RO?
  A)
   7 cm                           done clear
  B)
   3 cm         done clear
  C)
   4 cm          done clear
  D)
   6 cm done clear
  View Solution play_arrow

• question_answer24)

  In the given figure, \[\Delta ABC\] and \[\Delta ADE\] are isosceles triangles with \[AB=AC\] and \[AD=AE\].

  If \[CE=2\text{ }cm\] and \[DE=6\text{ }cm,\]then what is the length of side BC?

   
  A)
   \[8\text{ }cm\]                        done clear
  B)
   \[\text{9 }cm\]          done clear
  C)
   \[\text{10 }cm\]                      done clear
  D)
   \[\text{1 }cm\] done clear
  View Solution play_arrow

• question_answer25)
  In \[\Delta ABC\] and \[\Delta DEF,\] \[AC=DF,\text{ }AB=EF\] and \[BC=DE\]. By which property are \[\Delta ABC\]and \[\Delta \,le\] (formed by three points D, E & F) congruent?
  A)
   R.H.S property           done clear
  B)
   S.S.S. property  done clear
  C)
   S.A.S. property           done clear
  D)
   A.S.A. property done clear
  View Solution play_arrow

• question_answer26)
  In \[\Delta \,ABC\] and \[\Delta \,ADE\]  If \[AC=EF,\text{ }AB=DF\] and \[BC=DE,\] what is the correct way of writing congruency?
  A)
   \[\Delta ABC\cong \Delta DBF\]         done clear
  B)
   \[\Delta ACB\cong \Delta DEF\] done clear
  C)
   \[\Delta ACB\cong \Delta DFE\]          done clear
  D)
   \[\Delta ABC\cong \Delta FDE\] done clear
  View Solution play_arrow

• question_answer27)
  If we apply Pythagoras theorem, R.H.S. property of congruency may be seen to be same as:
  A)
   SSS property done clear
  B)
   AAA property   done clear
  C)
   ASA property      done clear
  D)
   None of above done clear
  View Solution play_arrow

• question_answer28)
  Which of the following criterion does not exist in the field of congruency of triangles.
  A)
   A.S.A. criterion           done clear
  B)
   R.H.S. criterion done clear
  C)
   A.A.A. criterion    done clear
  D)
   S.S.S. criterion done clear
  View Solution play_arrow

• question_answer29)
  In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?
  A)
   One triangle is an enlarged copy of other done clear
  B)
   The two triangles are necessarily congruent. done clear
  C)
   The two triangle are congruent by A.A.A. congruency criterion. done clear
  D)
   All of the above. done clear
  View Solution play_arrow

• question_answer30)
  \[\Delta ABC\] is congruent to \[\Delta XYZ\]. Find the measures of \[\angle x\] and \[\angle y\] respectively.
  A)
   \[65{}^\circ ,\text{ }75{}^\circ \]     done clear
  B)
   \[75{}^\circ ,40{}^\circ \]         done clear
  C)
   \[75{}^\circ ,\text{ }65{}^\circ \]               done clear
  D)
   \[55{}^\circ ,\text{ }45{}^\circ \] done clear
  View Solution play_arrow

• question_answer31)
  \[\Delta \,ABC\cong \Delta FDE\] What is the measure of \[\angle F\]?
  A)
   \[50{}^\circ \]     done clear
  B)
   \[60{}^\circ \]            done clear
  C)
   \[80{}^\circ \]                       done clear
  D)
   \[75{}^\circ \] done clear
  View Solution play_arrow

• question_answer32)
  In the figure, \[PQ=PS\]  and  \[QR=SR\]. If \[\Delta PQR\] is congruent to \[\Delta PSR,\] which of the following is correct?
  A)
   \[\angle QPR=\angle PRS\]               done clear
  B)
   \[\angle RPS=\angle RQP\] done clear
  C)
   \[\angle QRP=\angle SRP\] done clear
  D)
   \[\overline{PR}=\overline{RS}\] done clear
  View Solution play_arrow

• question_answer33)
  AB and AC are two chords of a circle with centre O as shown. If \[\Delta AOB\] is congruent to \[\Delta AOC,\] which of the following is correct?
  A)
   \[\angle OBA=\angle OCA\]       done clear
  B)
   \[\angle AOC=\angle OCA\] done clear
  C)
   \[AO=AC\]                   done clear
  D)
   \[AB=OC\] done clear
  View Solution play_arrow

• question_answer34)
  A regular hexagon is divided into four triangles as shown below: What of the following is correct?
  A)
   \[\Delta PQU\cong \Delta TSU\] done clear
  B)
   \[\Delta USR\cong \Delta RUQ\] done clear
  C)
   \[\Delta PQU\cong \Delta UQR\] done clear
  D)
   \[\Delta USR\cong \Delta QRU\] done clear
  View Solution play_arrow

• question_answer35)
  In the given figure, \[\angle PQU=\angle RSV\] What is the perimeter of \[\Delta PQT\]?
  A)
   28 units           done clear
  B)
   39 units         done clear
  C)
   33 units            done clear
  D)
   31 units done clear
  View Solution play_arrow

• question_answer36)
  In the given figure, \[AB||CD\] and \[AD||BC\] If the perimeter of \[\Delta ABD=30\text{ }cm,\]then what is the perimeter of quadrilateral ABCD?
  A)
   25 cm                         done clear
  B)
   30 cm         done clear
  C)
   35 cm            done clear
  D)
   50 cm done clear
  View Solution play_arrow

• question_answer37)
  In the given figure of a field, PQR and RST are right- angled at Q and S respectively. The measure of the sides are given (See figure) What type of a triangle is \[\Delta PRT\]?
  A)
   Isosceles triangle                   done clear
  B)
   Equilateral triangle done clear
  C)
   Scalene right - angled triangle       done clear
  D)
   Right - angled isosceles triangle. done clear
  View Solution play_arrow

• question_answer38)
  In the given figure (not to scale) \[AB=CD\] and \[BC=DE\] What type of a triangle is \[\Delta ACE\]?
  A)
   Isosceles triangle                   done clear
  B)
   Equilateral triangle done clear
  C)
   Scalene right - angled triangle       done clear
  D)
   Right - angled isosceles triangle done clear
  View Solution play_arrow

• question_answer39)
  In the given figure of a hockey field, \[\Delta ABC\] is congruent to \[\Delta PQR\]. If \[PC=200\text{ }cm,\]and \[AP=CR\] then what is the length of AR?
  A)
   150 metres      done clear
  B)
   300 metres      done clear
  C)
   470 metres                  done clear
  D)
   500 metres done clear
  View Solution play_arrow

• question_answer40)
  Which of the following is important in congruence of triangles?
  A)
   Naming the angles of the triangles using capital letters done clear
  B)
   Measures of angles in degrees. done clear
  C)
   The order of letters of the triangles. done clear
  D)
   Exact length of the sides of the \[\Delta le\]. done clear
  View Solution play_arrow