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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)
B)
C)
D)
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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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