7th Class Mathematics Practical Geometry Question Bank

done Practical Geometry Total Questions - 45

• question_answer1)
  Which among the following is used to construct a triangle?
  A)
   The lengths of the three sides.   done clear
  B)
   The perimeter of the triangle. done clear
  C)
   The measures of three angles. done clear
  D)
   The names of three vertices. done clear
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• question_answer2)
  In the given figure, find the measure of\[\angle ROT,\] if  \[PQ=QR\] and \[\angle QPR={{60}^{o}}\].                                
  A)
   \[{{60}^{o}}\]                    done clear
  B)
          \[{{140}^{o}}\] done clear
  C)
   \[{{120}^{o}}\]                   done clear
  D)
          \[{{100}^{o}}\] done clear
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• question_answer3)
  A triangular sign board is isosceles. If the unequal side is 7 cm and one of the equal sides is 6 cm, what is the measure of the third side?
  A)
   5cm       done clear
  B)
   6cm   done clear
  C)
   7cm        done clear
  D)
   Either [a] or [c] done clear
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• question_answer4)
  Which of the following statements is incorrect?
  A)
   The sum of angles in a triangle is 2 right angles. done clear
  B)
   The exterior angle of a triangle is equal to the interior angle of the triangle.   done clear
  C)
   The hypotenuse is the longest side of a right angled triangle. done clear
  D)
   All the above. done clear
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• question_answer5)
  Identify the true statement.
  A)
   A triangle with 3 equal sides is isosceles. done clear
  B)
   A triangle with a \[{{110}^{o}}\] angle is right angled. done clear
  C)
   A triangle with 3 acute angles is acute angled.   done clear
  D)
   A triangle with 2 equal sides is equilateral. done clear
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• question_answer6)
  In which of the following cases is the construction of a triangle not possible?
  A)
   Measures of 3 sides are given. done clear
  B)
   Measures of 2 sides and an included angle are given. done clear
  C)
   Measures of 2 angles and a side are given. done clear
  D)
   Measures of 3 angles are given.   done clear
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• question_answer7)
  A Choose the correct option in which a triangle CANNOT be constructed with the given lengths of sides.
  A)
   3 cm, 4 cm, 5 cm done clear
  B)
   7 cm, 6 cm, 5 cm done clear
  C)
   10 cm, 7 cm, 2 cm   done clear
  D)
   12 cm, 8 cm, 6 cm done clear
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• question_answer8)
  Direction: David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as l, m and n. Which of the following is true?
  A)
   \[l//m\]         done clear
  B)
   \[l//n\] done clear
  C)
   \[n//m\]       done clear
  D)
   Either [b] or [c] done clear
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• question_answer9)
  Direction: David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as l, m and n. What can you say about lines I and n?
  A)
   \[l//n\] done clear
  B)
   \[l\bot n\]   done clear
  C)
   I is the same line as n done clear
  D)
   Neither [a] nor [b] done clear
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• question_answer10)
  Direction: David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as l, m and n. What do you call the line n with respect to the lines I and m?
  A)
   n is a line parallel to I and m. done clear
  B)
   n is a line parallel to I only. done clear
  C)
   n is a transversal.   done clear
  D)
   n is a line parallel to m only. done clear
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• question_answer11)
  Which of the following is used to draw a line parallel to a given line?
  A)
   A protractor         done clear
  B)
                 A set square done clear
  C)
   A ruler done clear
  D)
   A ruler and compasses   done clear
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• question_answer12)
  How many parallel lines can be drawn passing through a point not on the given line?
  A)
   2                             done clear
  B)
          1   done clear
  C)
   3                             done clear
  D)
          0 done clear
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• question_answer13)
  Based on the sides of a triangle, which of the following is a classification of triangles?
  A)
   A right angled triangle done clear
  B)
   An acute angled triangle done clear
  C)
   An obtuse angled triangle done clear
  D)
   An isosceles triangle   done clear
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• question_answer14)
  Which type of triangle is in the classification based on angles?
  A)
   An equilateral triangle done clear
  B)
   An isosceles triangle done clear
  C)
   A right angled triangle   done clear
  D)
   A scalene triangle done clear
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• question_answer15)
  In which of the following cases can a triangle be constructed?
  A)
   Measures of three sides are given. done clear
  B)
   Measures of two sides and an included angle are given. done clear
  C)
   Measures of two angles and the side between them are given. done clear
  D)
   All the above.   done clear
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• question_answer16)
  The measurements of \[\Delta DEF\]are \[EF=8.4\text{ }cm,\] \[\angle E={{103}^{o}}\] and \[\angle F={{85}^{o}}\]. Which of the following is correct?
  A)
   \[\Delta DEF\] can be constructed. done clear
  B)
   \[\Delta DEF\] is an obtuse angled triangle. done clear
  C)
   \[\Delta DEF\] cannot be constructed.   done clear
  D)
   \[\Delta DEF\] is an acute angled triangle. done clear
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• question_answer17)
  In \[\Delta XYZ\], x, y and z denote the three sides. Which of the following is incorrect'?
  A)
   \[x-y>z\]          done clear
  B)
          \[x+z>y\]             done clear
  C)
      \[x-y<z\]             done clear
  D)
          \[x+y>z\] done clear
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• question_answer18)
  Which of the following can be used to construct a \[{{30}^{o}}\] angle?
  A)
   Construct a \[{{60}^{o}}\] angle using compasses and bisect it.   done clear
  B)
   Construct a perpendicular bisector of a line segment. done clear
  C)
   Construct the bisector of any angle. done clear
  D)
   Construct an angle congruent to any given angle. done clear
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• question_answer19)
  Study the steps of construction given.

  Step1: Draw a ray OA.

  Step2: With O as centre and any convenient radius draw an arc MN to cut \[\overrightarrow{OA}\] at M.

  Step3: With M as centre and the same radius draw an arc to cut MN at P.

  Step4: With P as centre and the same radius, draw an arc to cut MN at Q.

  Step5: Draw OQ  and produce it to D. An angle AOD is constructed.

  What is the measure of \[\angle AOD\]?
  A)
   \[{{60}^{o}}\]                    done clear
  B)
          \[{{30}^{o}}\] done clear
  C)
   \[{{120}^{o}}\]                   done clear
  D)
          \[{{45}^{o}}\] done clear
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• question_answer20)
  Satish followed the steps given in the box.

  Step 1: Construct an angle of \[90{}^\circ \].

  Step 2: Bisect the \[90{}^\circ \] angle.

  Step 3: Bisect one of the angles obtained in step 2.

  Which steps is not required to construct a \[{{45}^{o}}\] angle?
  A)
   Step 1 done clear
  B)
   Step 2 done clear
  C)
   Step 3   done clear
  D)
   Steps 2 and 3 done clear
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• question_answer21)
  Which of the following is NOT constructed using a ruler and a set square?
  A)
   A perpendicular to a line from a point not on it. done clear
  B)
   A perpendicular bisector of a line segment.   done clear
  C)
   A perpendicular to a line at a point on the line. done clear
  D)
   A line parallel to a given line through a given point. done clear
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• question_answer22)
  Given \[PQ=4\text{ }cm,\] \[QR=3.5\text{ }cm\] and \[RP=4.5\text{ }cm,\]what type of a triangle can be constructed?
  A)
   An acute angled triangle   done clear
  B)
   An obtuse angled triangle done clear
  C)
   An equilateral triangle done clear
  D)
   A right angled triangle done clear
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• question_answer23)
  \[\Delta PQR\] is constructed such that \[PQ=5\text{ }cm,\] \[PR=5\text{ }cm\] and \[\angle RPQ={{50}^{o}}\] Identify the type of triangle constructed.
  A)
   An isosceles triangle done clear
  B)
   An acute angled triangle done clear
  C)
   An obtuse angled triangle done clear
  D)
   Both [a] and [b]   done clear
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• question_answer24)
  Identify the condition when a triangle can be constructed?
  A)
   All three acute angles are given.   done clear
  B)
   A side and an acute angles are given. done clear
  C)
   Two obtuse angles are given. done clear
  D)
   All given sides are equal. done clear
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• question_answer25)
  Identify the false statement.
  A)
   A triangle with three equal sides is called an equilateral triangle. done clear
  B)
   A triangle with a right angle is called a right angled triangle. done clear
  C)
   A triangle with two equal sides is called a scalene triangle.   done clear
  D)
   A right angled triangle has two acute angles and a right angle. done clear
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• question_answer26)
  Identify the condition to be checked before constructing a triangle.
  A)
   Sum of the three angles is\[{{180}^{o}}\]. done clear
  B)
   The sum of any two of the sides is greater than the third side. done clear
  C)
   The difference of any two sides is lesser than the third side. done clear
  D)
   All the above.   done clear
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• question_answer27)
  How many perpendicular lines can be drawn to a line from a point not on it?
  A)
   1                               done clear
  B)
          2     done clear
  C)
   0                             done clear
  D)
          Infinite done clear
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• question_answer28)
  In \[\Delta XYZ,\,\,\overline{XY}>\overline{YZ}>\overline{ZX}\] Which of the following is the smallest angle?
  A)
   X                            done clear
  B)
          Z   done clear
  C)
   Y                               done clear
  D)
          \[X=Y=Z\] done clear
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• question_answer29)
  \[\Delta PQR\] is constructed with all its angles measuring \[{{60}^{o}}\] each. Which of the following is correct?
  A)
   \[\Delta PQR\] is an equilateral triangle.   done clear
  B)
   \[\Delta PQR\] is isosceles triangle. done clear
  C)
   \[\Delta PQR\] is a scalene triangle. done clear
  D)
   \[\Delta PQR\] is a right angled triangle. done clear
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• question_answer30)
  A triangle is constructed as shown in the figure. Which of the following is not correct about s\[\Delta DEF\]
  A)
   \[\Delta DEF\] has all its sides equal.   done clear
  B)
   \[\Delta DEF\] is an acute angled triangle. done clear
  C)
   \[\Delta DEF\] is a scalene triangle. done clear
  D)
   \[\Delta DEF\] is not an equilateral triangle. done clear
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• question_answer31)
  An isosceles triangle is constructed as shown in the figure. Which of the given statements is incorrect?
  A)
   \[\overline{PR}\] is the hypotenuse of \[\Delta PQR\]. done clear
  B)
   \[\Delta PQR\] is an equilateral triangle.   done clear
  C)
   \[\Delta PQR\] is a right angled triangle. done clear
  D)
   If right angled \[\Delta PQR\] has its equal angles measuring  \[{{45}^{o}}\]each. done clear
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• question_answer32)
  In \[\Delta ABC,\] \[\angle C={{50}^{o}}\] and \[\angle A=\angle B\]. What is the measure of \[\angle A\]?
  A)
   \[{{75}^{o}}\]   done clear
  B)
          \[{{80}^{o}}\]  done clear
  C)
   \[{{65}^{o}}\]     done clear
  D)
          \[{{45}^{o}}\] done clear
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• question_answer33)
  Which vertex of \[\Delta ABC\] is right angled if \[\overline{AB}=8cm,\] \[\overline{AC}=6\,cm,\]and \[\overline{BC}=10\,cm,\]?
  A)
   \[\angle C\]       done clear
  B)
                          \[\angle A\]   done clear
  C)
   \[\angle B\]                       done clear
  D)
          A or C done clear
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• question_answer34)
  A triangle PQR is constructed with  \[PQ=10cm,\] \[PR=8cm\] and \[\angle P={{90}^{o}}\]. Identify the correct classification of \[\Delta PQR\].
  A)

  Based on sides	Based on angles
  Scalene	Right angled

    done clear
  B)

  Based on sides	Based on angles
  Isosceles	Acute angled

  done clear
  C)

  Based on sides	Based on angles
  Scalene	Acute angled

  done clear
  D)

  Based on sides	Based on angles
  Isosceles	Right angled

       done clear
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• question_answer35)
  \[\Delta PQR\] is such that \[\angle P=\angle Q=\angle R={{60}^{o}}\] ^^ which of the following is true?         
  A)
   A PQR is equilateral. done clear
  B)
   APQR is acute angled. done clear
  C)
   Both [a] and [b]   done clear
  D)
   Neither [a] nor [b] done clear
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• question_answer36)
  Which of the following are the measures of a triangle that can be constructed using the S.S.S. criterion?
  A)
   \[\overline{XY}=6cm,\,\angle X={{40}^{o}},\angle Y={{70}^{o}}\] done clear
  B)
   \[\overline{DE}=8cm,\,\overline{EF}=7cm,\overline{FD}=9cm\]   done clear
  C)
   \[\overline{PQ}=4cm,\,\overline{QR}=6cm,\angle Q={{80}^{o}}\] done clear
  D)
   \[\overline{AB}=5cm,BC=4cm,\angle C={{90}^{o}}\] done clear
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• question_answer37)
  A line panda point X not on it are given. Which of the following is used to draw a line parallel to p through X?
  A)
   Equal corresponding angles.   done clear
  B)
   Congruent triangles. done clear
  C)
   Angle sum property of triangles. done clear
  D)
   Pythagoras' theorem. done clear
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• question_answer38)
  To which of these triangles is the Pythagoras' property related?
  A)
   A scalene triangle. done clear
  B)
   An acute angled triangle. done clear
  C)
   A right angled triangle.   done clear
  D)
   An obtuse angled triangle. done clear
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• question_answer39)
  A Given \[AB=3\text{ }cm,\text{ }AC=5\text{ }cm,\]and \[\angle B={{30}^{o}},\] \[\Delta ABC\] cannot be uniquely constructed, with AC as base, why?
  A)
   Two sides and included angle are given. done clear
  B)
   The other two angles are not given. done clear
  C)
   The vertex B cannot be uniquely located.   done clear
  D)
   The vertex A coincides with the vertex C. done clear
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• question_answer40)
  A triangle \[\Delta PQR\] with \[\angle Q={{90}^{o}},\]\[QR=8\text{ }cm\] and \[PR=10\text{ }cm\] is constructed. What would be the measure of PQ?
  A)
   \[3\,cm\]            done clear
  B)
          \[4\,cm\] done clear
  C)
   \[10\,cm\]          done clear
  D)
          \[6\,cm\]   done clear
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• question_answer41)
  The idea of equal alternate angles is used to construct which of the following?
  A)
   A line parallel to a given line   done clear
  B)
   A triangle done clear
  C)
   A square done clear
  D)
   Two triangles done clear
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• question_answer42)
  In \[\Delta ABC,\] the measures of two sides are given and \[\angle A\] is a right angle. Which of these properties is used to construct the triangle?
  A)
   S.S.S. property done clear
  B)
   R.H.S. property   done clear
  C)
   S.A.S. property done clear
  D)
   A.S.A. property done clear
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• question_answer43)
  Identify the criterion of construction of the equilateral triangle LMN given \[LM=6\text{ }cm\].
  A)
   S.A.S. criterion done clear
  B)
   R.H.S. criterion done clear
  C)
   A.S.A. criterion done clear
  D)
   S.S.S. criterion   done clear
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• question_answer44)
  A right triangle DEF is constructed with \[DE=5\text{ }cm,\] \[\angle F={{90}^{o}}\] and \[DF=4\text{ }cm\]. Choose the correct statement from the following.
  A)
   DE is the hypotenuse of \[\Delta DEF\]. done clear
  B)
   \[\angle E+\angle D={{90}^{o}}\] done clear
  C)
   \[EF=3cm\] done clear
  D)
   All the above.   done clear
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• question_answer45)
  In  \[\Delta RST,\] \[R=5cm,\] and \[\angle SRT={{45}^{o}}\]and \[\angle RST={{45}^{o}}\]. Which criterion can be used to construct \[\Delta RST\] ?
  A)
   A.S.A. criterion   done clear
  B)
   S.A.S. criterion done clear
  C)
   S.S.S. criterion   done clear
  D)
   R.H.S. criterion done clear
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