question_answer1) Which among the following is used to construct a triangle?
A) The lengths of the three sides.
B) The perimeter of the triangle.
C) The measures of three angles.
D) The names of three vertices.
View Answer play_arrowA) \[{{60}^{o}}\]
B) \[{{140}^{o}}\]
C) \[{{120}^{o}}\]
D) \[{{100}^{o}}\]
View Answer play_arrowA) 5cm
B) 6cm
C) 7cm
D) Either [a] or [c]
View Answer play_arrowquestion_answer4) Which of the following statements is incorrect?
A) The sum of angles in a triangle is 2 right angles.
B) The exterior angle of a triangle is equal to the interior angle of the triangle.
C) The hypotenuse is the longest side of a right angled triangle.
D) All the above.
View Answer play_arrowquestion_answer5) Identify the true statement.
A) A triangle with 3 equal sides is isosceles.
B) A triangle with a \[{{110}^{o}}\] angle is right angled.
C) A triangle with 3 acute angles is acute angled.
D) A triangle with 2 equal sides is equilateral.
View Answer play_arrowquestion_answer6) In which of the following cases is the construction of a triangle not possible?
A) Measures of 3 sides are given.
B) Measures of 2 sides and an included angle are given.
C) Measures of 2 angles and a side are given.
D) Measures of 3 angles are given.
View Answer play_arrowA) 3 cm, 4 cm, 5 cm
B) 7 cm, 6 cm, 5 cm
C) 10 cm, 7 cm, 2 cm
D) 12 cm, 8 cm, 6 cm
View Answer play_arrowA) \[l//m\]
B) \[l//n\]
C) \[n//m\]
D) Either [b] or [c]
View Answer play_arrowA) \[l//n\]
B) \[l\bot n\]
C) I is the same line as n
D) Neither [a] nor [b]
View Answer play_arrowA) n is a line parallel to I and m.
B) n is a line parallel to I only.
C) n is a transversal.
D) n is a line parallel to m only.
View Answer play_arrowquestion_answer11) Which of the following is used to draw a line parallel to a given line?
A) A protractor
B) A set square
C) A ruler
D) A ruler and compasses
View Answer play_arrowA) 2
B) 1
C) 3
D) 0
View Answer play_arrowA) A right angled triangle
B) An acute angled triangle
C) An obtuse angled triangle
D) An isosceles triangle
View Answer play_arrowquestion_answer14) Which type of triangle is in the classification based on angles?
A) An equilateral triangle
B) An isosceles triangle
C) A right angled triangle
D) A scalene triangle
View Answer play_arrowquestion_answer15) In which of the following cases can a triangle be constructed?
A) Measures of three sides are given.
B) Measures of two sides and an included angle are given.
C) Measures of two angles and the side between them are given.
D) All the above.
View Answer play_arrowA) \[\Delta DEF\] can be constructed.
B) \[\Delta DEF\] is an obtuse angled triangle.
C) \[\Delta DEF\] cannot be constructed.
D) \[\Delta DEF\] is an acute angled triangle.
View Answer play_arrowA) \[x-y>z\]
B) \[x+z>y\]
C) \[x-y<z\]
D) \[x+y>z\]
View Answer 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.
B) Construct a perpendicular bisector of a line segment.
C) Construct the bisector of any angle.
D) Construct an angle congruent to any given angle.
View Answer 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) \[{{60}^{o}}\]
B) \[{{30}^{o}}\]
C) \[{{120}^{o}}\]
D) \[{{45}^{o}}\]
View Answer 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
B) Step 2
C) Step 3
D) Steps 2 and 3
View Answer 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.
B) A perpendicular bisector of a line segment.
C) A perpendicular to a line at a point on the line.
D) A line parallel to a given line through a given point.
View Answer play_arrowA) An acute angled triangle
B) An obtuse angled triangle
C) An equilateral triangle
D) A right angled triangle
View Answer play_arrowA) An isosceles triangle
B) An acute angled triangle
C) An obtuse angled triangle
D) Both [a] and [b]
View Answer play_arrowquestion_answer24) Identify the condition when a triangle can be constructed?
A) All three acute angles are given.
B) A side and an acute angles are given.
C) Two obtuse angles are given.
D) All given sides are equal.
View Answer play_arrowquestion_answer25) Identify the false statement.
A) A triangle with three equal sides is called an equilateral triangle.
B) A triangle with a right angle is called a right angled triangle.
C) A triangle with two equal sides is called a scalene triangle.
D) A right angled triangle has two acute angles and a right angle.
View Answer play_arrowquestion_answer26) Identify the condition to be checked before constructing a triangle.
A) Sum of the three angles is\[{{180}^{o}}\].
B) The sum of any two of the sides is greater than the third side.
C) The difference of any two sides is lesser than the third side.
D) All the above.
View Answer play_arrowquestion_answer27) How many perpendicular lines can be drawn to a line from a point not on it?
A) 1
B) 2
C) 0
D) Infinite
View Answer play_arrowA) X
B) Z
C) Y
D) \[X=Y=Z\]
View Answer play_arrowA) \[\Delta PQR\] is an equilateral triangle.
B) \[\Delta PQR\] is isosceles triangle.
C) \[\Delta PQR\] is a scalene triangle.
D) \[\Delta PQR\] is a right angled triangle.
View Answer play_arrowA) \[\Delta DEF\] has all its sides equal.
B) \[\Delta DEF\] is an acute angled triangle.
C) \[\Delta DEF\] is a scalene triangle.
D) \[\Delta DEF\] is not an equilateral triangle.
View Answer play_arrowA) \[\overline{PR}\] is the hypotenuse of \[\Delta PQR\].
B) \[\Delta PQR\] is an equilateral triangle.
C) \[\Delta PQR\] is a right angled triangle.
D) If right angled \[\Delta PQR\] has its equal angles measuring \[{{45}^{o}}\]each.
View Answer play_arrowA) \[{{75}^{o}}\]
B) \[{{80}^{o}}\]
C) \[{{65}^{o}}\]
D) \[{{45}^{o}}\]
View Answer play_arrowA) \[\angle C\]
B) \[\angle A\]
C) \[\angle B\]
D) A or C
View Answer 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.
B) APQR is acute angled.
C) Both [a] and [b]
D) Neither [a] nor [b]
View Answer play_arrowA) \[\overline{XY}=6cm,\,\angle X={{40}^{o}},\angle Y={{70}^{o}}\]
B) \[\overline{DE}=8cm,\,\overline{EF}=7cm,\overline{FD}=9cm\]
C) \[\overline{PQ}=4cm,\,\overline{QR}=6cm,\angle Q={{80}^{o}}\]
D) \[\overline{AB}=5cm,BC=4cm,\angle C={{90}^{o}}\]
View Answer play_arrowA) Equal corresponding angles.
B) Congruent triangles.
C) Angle sum property of triangles.
D) Pythagoras' theorem.
View Answer play_arrowquestion_answer38) To which of these triangles is the Pythagoras' property related?
A) A scalene triangle.
B) An acute angled triangle.
C) A right angled triangle.
D) An obtuse angled triangle.
View Answer play_arrowA) Two sides and included angle are given.
B) The other two angles are not given.
C) The vertex B cannot be uniquely located.
D) The vertex A coincides with the vertex C.
View Answer play_arrowA) \[3\,cm\]
B) \[4\,cm\]
C) \[10\,cm\]
D) \[6\,cm\]
View Answer 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
B) A triangle
C) A square
D) Two triangles
View Answer play_arrowA) S.S.S. property
B) R.H.S. property
C) S.A.S. property
D) A.S.A. property
View Answer play_arrowA) S.A.S. criterion
B) R.H.S. criterion
C) A.S.A. criterion
D) S.S.S. criterion
View Answer play_arrowA) DE is the hypotenuse of \[\Delta DEF\].
B) \[\angle E+\angle D={{90}^{o}}\]
C) \[EF=3cm\]
D) All the above.
View Answer play_arrowA) A.S.A. criterion
B) S.A.S. criterion
C) S.S.S. criterion
D) R.H.S. criterion
View Answer play_arrowYou need to login to perform this action.
You will be redirected in
3 sec