7th Class Mathematics The Triangle and its Properties Question Bank

done The Triangle and Its Properties Total Questions - 25

• question_answer1)
  Find the measure of the angle x in the given figure.                                   
  A)
   \[{{50}^{o}}\]                     done clear
  B)
   \[{{70}^{o}}\]         done clear
  C)
   \[{{60}^{o}}\]         done clear
  D)
          \[{{30}^{o}}\]         done clear
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• question_answer2)
  Which of the following options is INCORRECT?                    
  A)
   \[\angle 1=\angle 3\] done clear
  B)
   \[\angle 1+\angle 4+\angle 5={{180}^{o}}\] done clear
  C)
   \[\angle 8=\angle 6\] done clear
  D)
   \[\angle 1+\angle 3={{180}^{o}}\] done clear
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• question_answer3)
  In the figure (not drawn to scale), ADF and BEF are triangles and EC = ED, find y.  
  A)
   \[{{90}^{o}}\]                     done clear
  B)
   \[{{91}^{o}}\]         done clear
  C)
          \[{{92}^{o}}\]         done clear
  D)
          \[{{93}^{o}}\] done clear
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• question_answer4)
  In a \[\Delta ABC,\]which of the given condition holds?
  A)
   \[AB-BC>CA\] done clear
  B)
   \[AB+BC<CA\] done clear
  C)
   \[AB-BC<CA\] done clear
  D)
   \[AB+CA<BC\] done clear
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• question_answer5)
  In the figure (not drawn to scale), ABC is an equilateral triangle and ABD is an isosceles triangle with DA = DB, find x.
  A)
   \[{{14}^{o}}\]                     done clear
  B)
   \[{{16}^{o}}\]                     done clear
  C)
   \[{{12}^{o}}\]              done clear
  D)
   \[{{32}^{o}}\]                                 done clear
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• question_answer6)
  ABC is an isosceles triangle with AB = AC and AD is altitude, then ____.
  A)
   \[\angle B>\angle C\]              done clear
  B)
   \[\angle B<\angle C\]  done clear
  C)
   \[\angle B=\angle C\]   done clear
  D)
   None of these done clear
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• question_answer7)
  In the figure (not drawn to scale), ABCD is a square, ADE is an equilateral triangle and BFE is a straight line, find y.
  A)
   \[{{90}^{o}}\]                     done clear
  B)
   \[{{45}^{o}}\]         done clear
  C)
          \[{{75}^{o}}\]                  done clear
  D)
          \[{{15}^{o}}\]                     done clear
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• question_answer8)
  Find the measure of the angle x in the given figure.                                    
  A)
   \[{{72}^{o}}\]             done clear
  B)
               \[{{82}^{o}}\]         done clear
  C)
          \[{{90}^{o}}\]       done clear
  D)
          \[{{40}^{o}}\] done clear
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• question_answer9)
  The given figure shows three identical squares. Find x.            
  A)
   \[{{30}^{o}}\]                     done clear
  B)
   \[{{27}^{o}}\]         done clear
  C)
                      \[{{36}^{o}}\]                 done clear
  D)
          \[{{16}^{o}}\]                     done clear
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• question_answer10)
  In the figure (not drawn to scale), EFA is a right-angled triangle with \[\angle EFA={{90}^{o}}\]and FGB is an equilateral triangle, find \[y-2x.\]
  A)
   \[{{2}^{o}}\]                       done clear
  B)
   \[{{8}^{o}}\]                       done clear
  C)
   \[{{17}^{o}}\]         done clear
  D)
          \[{{20}^{o}}\] done clear
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• question_answer11)
  In the figure (not drawn to scale), ABC and DEF are two triangles, CA is parallel to FD and CFBE is a straight line. Find the value of\[x+y\].
  A)
   \[{{185}^{o}}\]                   done clear
  B)
   \[{{134}^{o}}\]       done clear
  C)
          \[{{148}^{o}}\]       done clear
  D)
          \[{{176}^{o}}\]                   done clear
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• question_answer12)
  In a \[\Delta ABC,\]if \[AB+BC=10\text{ }cm,\] \[BC+CA=12\text{ }cm,\]\[CA+AB=16\text{ }cm,\] then the perimeter of the triangle is ____.
  A)
   \[19\,cm\] done clear
  B)
   \[17\,cm\]        done clear
  C)
          \[28\,cm\]       done clear
  D)
          \[22\,cm\]                    done clear
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• question_answer13)
  In the figure, not drawn to scale, ACDF is a rectangle and BDE is a triangle. Find \[\angle BED\]
  A)
   \[{{42}^{o}}\]                     done clear
  B)
   \[{{52}^{o}}\]               done clear
  C)
          \[{{128}^{o}}\]           done clear
  D)
          \[{{134}^{o}}\]                   done clear
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• question_answer14)
  In the figure, ABCD is a rectangle, \[\Delta CEF\]is an equilateral triangle. Find x.
  A)
   \[{{25}^{o}}\]                                 done clear
  B)
   \[{{30}^{o}}\]                done clear
  C)
                      \[{{20}^{o}}\]                done clear
  D)
          \[{{50}^{o}}\]                                 done clear
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• question_answer15)
  Find the measure of \[\angle LNM\]in the given figure.                     
  A)
   \[{{30}^{o}}\]                     done clear
  B)
   \[{{80}^{o}}\]                     done clear
  C)
          \[{{70}^{o}}\]                  done clear
  D)
          \[{{60}^{o}}\]         done clear
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• question_answer16)
  A 26 m long ladder reached a window 24 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.
  A)
   \[10\,m\]                      done clear
  B)
   \[20\,m\]          done clear
  C)
          \[5\,m\]            done clear
  D)
          \[25\,m\]                      done clear
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• question_answer17)
  A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.
  A)
   \[20\,m\]                      done clear
  B)
   \[36\,m\]          done clear
  C)
          \[18\,m\]                      done clear
  D)
          \[25\,m\]          done clear
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• question_answer18)
  Aryan wants to plant a flower on the ground in the form of a rhombus. The diagonals of the rhombus measures 42 cm and 56 cm. Find the perimeter of the field.
  A)
   \[150\text{ }cm\]                    done clear
  B)
   \[140\text{ }cm\]        done clear
  C)
          \[130\,cm\]                  done clear
  D)
          \[120\,cm\]      done clear
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• question_answer19)
  A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.
  A)
   \[40\text{ }m\]                        done clear
  B)
   \[30\text{ }m\]            done clear
  C)
   \[50\,m\]         done clear
  D)
          \[10\,m\]          done clear
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• question_answer20)
  Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is 28 cm and diagonal is 35 cm. What will be the correct answer?
  A)
                       90 cm                         done clear
  B)
   45 cm done clear
  C)
          89 cm             done clear
  D)
          98 cm done clear
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• question_answer21)
  If y is five times of x, find the values of x, y and z.                                 
  A)

  x	y	z
  \[{{20}^{o}}\]	80	\[{{140}^{o}}\]

                  done clear
  B)

  x	y	z
  \[{{30}^{o}}\]	\[{{80}^{o}}\]	\[{{140}^{o}}\]

                  done clear
  C)

  x	y	z
  \[{{20}^{o}}\]	\[{{100}^{o}}\]	\[{{160}^{o}}\]

                  done clear
  D)

  x	y	z
  \[{{30}^{o}}\]	\[{{100}^{o}}\]	\[{{160}^{o}}\]

  done clear
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• question_answer22)
  State T for true and T' for false.         

  (i) In the given right-angled triangle; \[ABC,\text{ }\angle B={{65}^{o}},\text{ }\angle C={{25}^{o}},\]then \[A{{B}^{2}}=B{{C}^{2}}+C{{A}^{2}}\].

  (ii)  The length of the third side of a triangle cannot be smaller than the difference of the lengths of any two sides.

  (iii) A triangle can have only one median.

             
  A)

  (i)	(ii)	(iii)
  F	F	T

                  done clear
  B)

  (i)	(ii)	(iii)
  F	T	F

                  done clear
  C)

  (i)	(ii)	(iii)
  F	T	T

                  done clear
  D)

  (i)	(ii)	(iii)
  F	F	F

  done clear
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• question_answer23)
  Fill in the blanks.                          

  (i) The line segment joining a vertex of a triangle to the midpoint of its opposite side is called a  P  of the triangle.

  (ii)  The perpendicular line segment from a vertex of a triangle to its opposite side is called an Q of the triangle.

  (iii) A triangle has R altitudes and S medians.

             
  A)

  P	Q	R	S
  Altitude	Median	1	1

                  done clear
  B)

  P	Q	R	S
  Altitude	Median	3	3

                  done clear
  C)

  P	Q	R	S
  Median	Altitude	3	3

                  done clear
  D)

  P	Q	R	S
  Median	Altitude	2	3

  done clear
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• question_answer24)
  Which of the following statements is TRUE?

  Statement 1: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

  Statement 2: If P is a point on the side BC of \[\Delta ABC\]. Then \[(AB+BC+AC)>2AP\]

  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_answer25)
  Find the values of x and y respectively.        
  A)
   \[{{47}^{o}},\,{{66}^{o}}\] done clear
  B)
   \[{{66}^{o}},{{48}^{o}}\]      done clear
  C)
   \[{{68}^{o}},{{47}^{o}}\]         done clear
  D)
   \[{{47}^{o}},{{68}^{o}}\]        done clear
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