9th Class Mathematics Triangles Question Bank

done Triangles Total Questions - 25

• question_answer1)
  If \[\Delta ABC\cong \Delta PQR\], then which of the following is true?
  A)
   AB = PR, BC = QR, AC = PQ done clear
  B)
          AB = PQ, BC = QR, AC = PR done clear
  C)
          AB = PR, AC = PQ. BC = PR done clear
  D)
   None of these done clear
  View Solution play_arrow

• question_answer2)
  In the given figure,\[AP\bot QR,PR>PQ\] and \[PS=PQ.\] Then
  A)
   AP = QP                      done clear
  B)
          AP > AQ         done clear
  C)
         \[\angle APS>\angle APQ\]          done clear
  D)
          AR>AQ           done clear
  View Solution play_arrow

• question_answer3)
  In the given figure, \[x\]and y are____.         
  A)
  \[x=70{}^\circ ,y={{37}^{o}}\]      done clear
  B)
         \[~x=37{}^\circ ,\,y=70{}^\circ \]  done clear
  C)
         \[~x+y=117{}^\circ \]       done clear
  D)
         \[x-y=100{}^\circ \]           done clear
  View Solution play_arrow

• question_answer4)
  In the given figure,\[\Delta ABC\]and\[\Delta PBC\]are two isosceles triangles on the same base BC and vertices A and P are on the same side of BC. A and P are joined, then
  A)
  \[\angle BPA=\frac{1}{2}\angle BAC\] done clear
  B)
         \[\angle BAP=\frac{1}{2}\angle BAC\] done clear
  C)
          \[\angle CPA=\frac{1}{2}\angle BAC\] done clear
  D)
          \[\angle BPA=2\angle BAC\] done clear
  View Solution play_arrow

• question_answer5)
  If S is any point on the side QR of a\[\Delta PQR,\]  then
  A)
   PQ+ QR+ RP > 2PS done clear
  B)
          PQ+QR+ RP< 2PS done clear
  C)
          PQ + QR + RP = 3PS done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer6)
  If the given triangles are congruent, then which of the following options is CORRECT?
  A)
  \[\Delta ABC\cong \Delta DEF\]    done clear
  B)
         \[\Delta ABC\cong \Delta EDF\]    done clear
  C)
         \[\Delta ABC\cong \Delta FDE\]    done clear
  D)
         \[\Delta ACB\cong \Delta EDF\]     done clear
  View Solution play_arrow

• question_answer7)
  In the given figure, if AE=AD and BD=CE, then  __ .
  A)
  \[\Delta BEC\cong \Delta BDC\] done clear
  B)
  \[\Delta AEB\cong \Delta ADC\] done clear
  C)
  \[BC=CD\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer8)
  In the given figure, AD is the bisector of \[\angle A\]and AB = AC. Then \[\Delta ACD\] and \[\Delta ABD\] are congruent by which criterion?   
  A)
   AAA                done clear
  B)
          SAS                             done clear
  C)
                      SSA                             done clear
  D)
          Both [b] and [c] done clear
  View Solution play_arrow

• question_answer9)
  The congruence property, by which the two triangles in the given figure are congruent is____.                    
  A)
   RHS                             done clear
  B)
          ASA                 done clear
  C)
          SSS                             done clear
  D)
                      SAS           done clear
  View Solution play_arrow

• question_answer10)
  In \[\Delta DEF\]and\[\Delta PQR,DE=DF,\]\[\angle F=\angle P\] and \[\angle E=\angle Q.\]The two triangles are
  A)
   Isosceles but not necessarily congruent done clear
  B)
          Isosceles and congruent done clear
  C)
          Congruent but not isosceles done clear
  D)
          Neither congruent nor isosceles done clear
  View Solution play_arrow

• question_answer11)
  In \[ABC,\angle A={{85}^{o}},\angle B={{30}^{o}}\]and \[\angle C={{65}^{o}}\]then
  A)
   AB > AC                     done clear
  B)
          AB < AC         done clear
  C)
          BC < AC                     done clear
  D)
          None of these    done clear
  View Solution play_arrow

• question_answer12)
  D, BE and CF, the altitude of AABC are equal. Then
  A)
   AC = BC         done clear
  B)
          AD = AB         done clear
  C)
          AB = CF          done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer13)
  In the given figure, PQR is an equilateral triangle and QRST is a square. Then\[\angle PSR=\_\_\_\_.\]          
  A)
  \[{{30}^{o}}\] done clear
  B)
         \[{{15}^{o}}\] done clear
  C)
                     \[{{90}^{o}}\] done clear
  D)
         \[{{60}^{o}}\] done clear
  View Solution play_arrow

• question_answer14)
  In the given figure, if PA = PD and PB = PC. Then \[\Delta PAB\]is congruent to ___ .
  A)
  \[\Delta PDC\]                            done clear
  B)
         \[\Delta PCD\]                done clear
  C)
         \[\Delta CPD\]                            done clear
  D)
         \[\Delta DPC\]   done clear
  View Solution play_arrow

• question_answer15)
  If AB = DE, AC = DF, \[\angle A=\angle D={{90}^{o}}\]and BC = 5 cm, then EF is equal to ___.
  A)
   5 cm                done clear
  B)
          4.5 cm done clear
  C)
          5.5 cm             done clear
  D)
          Can't be determined done clear
  View Solution play_arrow

• question_answer16)
  In figure,\[\angle B<\angle A\] and \[\angle C<\angle D\]then
  A)
   AD < BC         done clear
  B)
          OD > OC         done clear
  C)
          OB < OA         done clear
  D)
          None of these                            done clear
  View Solution play_arrow

• question_answer17)
  Which of the following is not a critertion for congruence of triangles?
  A)
   SAS                             done clear
  B)
          ASA                             done clear
  C)
          SSA                             done clear
  D)
          SSS done clear
  View Solution play_arrow

• question_answer18)
  In\[\Delta ABC,\]the medians AD, BE and CF pass through G. If BG = 6, then BE is____.
  A)
   9                                 done clear
  B)
          6                                 done clear
  C)
                      3                                 done clear
  D)
          1                                 done clear
  View Solution play_arrow

• question_answer19)
  D is any point on side AC of a \[\Delta ABC\] with AB = AC. Then ____.
  A)
   CD < BD         done clear
  B)
          CD>BD           done clear
  C)
          CD = BD       done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer20)
  If AD is bisector of \[\angle A\]and D is perpendicular to BC. Then AABC is ___ triangle.
  A)
   Isosceles                  done clear
  B)
          Equilateral                    done clear
  C)
          Scalene                        done clear
  D)
          None of these        done clear
  View Solution play_arrow

• question_answer21)
  Fill in the blanks.

  (i) In right triangles \[\Delta ABC\] and \[\Delta DEF,\] if hypotenuse AB = EF and side AC = DE, then \[\Delta ABC=\]P.

  (ii) If \[\Delta ABC\] is obtuse angled at point B, then the longest side is Q.

  (iii) Difference of any two sides of a triangle is R than the third side.

  A)

  P	Q	R
  AEFD	BC	greater

  done clear
  B)
        

  P	Q	R
  AEFD	AC	less

                  done clear
  C)
        

  P	Q	R
  ADEF	AB	less

                  done clear
  D)
        

  P	Q	R
  ADEF	AC	greater

  done clear
  View Solution play_arrow

• question_answer22)
  ABC is a right triangle with AB = AC. Bisector of \[\angle A\]meets BC at D. Then
  A)
   BC = 2AD       done clear
  B)
          2BC = AD                    done clear
  C)
          AB = BC        done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer23)
  Which of the following statement is CORRECT?
  A)
   Two triangles having same shape are congruent. done clear
  B)
          If two sides of a triangle are equal to the corresponding sides of another triangle, then the two triangles are congruent. done clear
  C)
          If the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of the other triangle, then the triangles are not congruent. done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer24)
  Match the following.

  Column - I	Column - II
  (p) \[\Delta AMB\cong \Delta AMC\] by	(i) SAS Rule
  (q) \[\Delta AOB\cong \Delta POQ\] by	(ii)RHS Rule
  (r) \[\Delta AOP\cong \Delta BOQ\] by	(iii) SSS Rule
  (s) \[\Delta AMB\cong \Delta AMC\]by	(iv) AAS Rule

   
  A)

  P	Q	R	S
  2	4	1	3

                  done clear
  B)
        

  P	Q	R	S
  4	2	1	3

                  done clear
  C)
        

  P	Q	R	S
  1	2	4	3

                  done clear
  D)
        

  P	Q	R	S
  2	1	3	4

  done clear
  View Solution play_arrow

• question_answer25)
  ABC is a right triangle such that AB = AC and bisector of angle C intersects the side AB at D. Then AC + AD = ___.
  A)
   BC                               done clear
  B)
          2BC                 done clear
  C)
          3BC                             done clear
  D)
          None of these done clear
  View Solution play_arrow