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
View Solution play_arrowA) \[{{60}^{o}}\] done clear
B) \[{{140}^{o}}\] done clear
C) \[{{120}^{o}}\] done clear
D) \[{{100}^{o}}\] done clear
View Solution play_arrowA) 5cm done clear
B) 6cm done clear
C) 7cm done clear
D) Either [a] or [c] done clear
View Solution play_arrowquestion_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
View Solution play_arrowquestion_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
View Solution play_arrowquestion_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
View Solution play_arrowA) 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
View Solution play_arrowA) \[l//m\] done clear
B) \[l//n\] done clear
C) \[n//m\] done clear
D) Either [b] or [c] done clear
View Solution play_arrowA) \[l//n\] 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
View Solution play_arrowA) 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
View Solution play_arrowquestion_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
View Solution play_arrowA) 2 done clear
B) 1 done clear
C) 3 done clear
D) 0 done clear
View Solution play_arrowA) 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
View Solution play_arrowquestion_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
View Solution play_arrowquestion_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
View Solution play_arrowA) \[\Delta DEF\] 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
View Solution play_arrowA) \[x-y>z\] done clear
B) \[x+z>y\] done clear
C) \[x-y<z\] done clear
D) \[x+y>z\] done clear
View Solution play_arrowquestion_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
View Solution play_arrowquestion_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. |
A) \[{{60}^{o}}\] done clear
B) \[{{30}^{o}}\] done clear
C) \[{{120}^{o}}\] done clear
D) \[{{45}^{o}}\] done clear
View Solution play_arrowquestion_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. |
A) Step 1 done clear
B) Step 2 done clear
C) Step 3 done clear
D) Steps 2 and 3 done clear
View Solution play_arrowquestion_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
View Solution play_arrowA) 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
View Solution play_arrowA) 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
View Solution play_arrowquestion_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
View Solution play_arrowquestion_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
View Solution play_arrowquestion_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
View Solution play_arrowquestion_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
View Solution play_arrowA) X done clear
B) Z done clear
C) Y done clear
D) \[X=Y=Z\] done clear
View Solution play_arrowA) \[\Delta PQR\] 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
View Solution play_arrowA) \[\Delta DEF\] 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
View Solution play_arrowA) \[\overline{PR}\] 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
View Solution play_arrowA) \[{{75}^{o}}\] done clear
B) \[{{80}^{o}}\] done clear
C) \[{{65}^{o}}\] done clear
D) \[{{45}^{o}}\] done clear
View Solution play_arrowA) \[\angle C\] done clear
B) \[\angle A\] done clear
C) \[\angle B\] done clear
D) A or C done clear
View Solution play_arrowA)
Based on sides | Based on angles |
Scalene | Right angled |
B)
Based on sides | Based on angles |
Isosceles | Acute angled |
C)
Based on sides | Based on angles |
Scalene | Acute angled |
D)
Based on sides | Based on angles |
Isosceles | Right angled |
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
View Solution play_arrowA) \[\overline{XY}=6cm,\,\angle X={{40}^{o}},\angle Y={{70}^{o}}\] 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
View Solution play_arrowA) Equal corresponding angles. done clear
B) Congruent triangles. done clear
C) Angle sum property of triangles. done clear
D) Pythagoras' theorem. done clear
View Solution play_arrowquestion_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
View Solution play_arrowA) 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
View Solution play_arrowA) \[3\,cm\] done clear
B) \[4\,cm\] done clear
C) \[10\,cm\] done clear
D) \[6\,cm\] done clear
View Solution play_arrowquestion_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
View Solution play_arrowA) 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
View Solution play_arrowA) 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
View Solution play_arrowA) 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
View Solution play_arrowA) 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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