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question_answer1)
Choose the correct option in which a triangle CANNOT be constructed with the given lengths of sides.
A)
3 cm, 13 cm, 15 cm done
clear
B)
6 cm, 6 cm, 6 cm done
clear
C)
9 cm, 6 cm, 2 cm done
clear
D)
13 cm, 6 cm, 8 cm done
clear
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question_answer2)
Which among the following is sufficient 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_answer3)
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 compass done
clear
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question_answer4)
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_answer5)
Which type of triangle is in the classification based on angles only?
A)
An equilateral triangle done
clear
B)
A scalene triangle done
clear
C)
A right angled triangle done
clear
D)
An isosceles triangle done
clear
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question_answer6)
The measurements of \[\Delta DEF\] are \[EF=8.4\text{ }cm,\] \[\angle E=100{}^\circ \] and\[\angle F=82{}^\circ \]. Which of the following is correct?
A)
ADEF can be constructed. done
clear
B)
ADEF is an obtuse angled triangle. done
clear
C)
A cannot be constructed done
clear
D)
ADEF is an acute angled triangle. done
clear
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question_answer7)
Which of the following can be used to construct a \[{{30}^{o}}\]angle?
A)
Construct \[{{60}^{o}}\] angle using compasses and bisect it. done
clear
B)
Contact 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_answer8)
Rohan thinks he knows how to bisect angles and follows following steps to construct \[45{}^\circ \]angle.
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 \[45{}^\circ \] angle?
A)
Step 1 done
clear
B)
Step 2 done
clear
C)
Step 3 done
clear
D)
Step 2 and 3 done
clear
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question_answer9)
In \[\Delta XYZ,\]a, b, c denote the three sides, which of the following is incorrect?
A)
\[a-b>c\] done
clear
B)
\[a+c>b\] done
clear
C)
\[a-b<c\] done
clear
D)
\[a+b>c\] done
clear
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question_answer10)
Given \[PQ=6\,\,cm,\] \[QR=55\,\,cm\] and \[RP=55\,\,cm,\]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 angle triangle done
clear
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question_answer11)
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_answer12)
Identify the condition to be checked before constructing a triangle.
A)
Sum of the three angles is\[180{}^\circ \]. 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 in lesser than the third side. done
clear
D)
All the above. done
clear
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question_answer13)
Identify the condition when a triangle can be constructed?
A)
One side and two acute angles are given. done
clear
B)
A side and an acute angle 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_answer14)
\[\Delta PQR\] is constructed with all its angles measuring \[60{}^\circ \] 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_answer15)
A triangle is constructed as shown in the figure.

Which of the following is not correct about \[\Delta DEF\]?
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_answer16)
In \[\Delta ABC,\] \[\overline{AB}>\overline{BC}>\overline{CA}\] which of the following is the smallest angle?
A)
\[\angle A\] done
clear
B)
\[\angle B\] done
clear
C)
\[\angle C\] done
clear
D)
\[\angle A=\angle B=\angle C\] done
clear
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question_answer17)
Which property has been used to construct the triangle in Q 33?
A)
RHS property done
clear
B)
SSS property done
clear
C)
SAS property done
clear
D)
ASA property done
clear
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question_answer18)
Given \[AB=3\,\,cm,\,\,BC=5\,\,cm,\] \[\angle C=70{}^\circ ,\] are the following steps to construct the \[\Delta \]correctly shown?
Step 1: Draw \[AB=3\,\,cm\] |
Step 2: Draw angle \[=70{}^\circ \] from B using protractor |
Step 3: Cut off length \[=5\,\,cm\] to get C |
A)
Step 1 is correct done
clear
B)
Step 2 is correct done
clear
C)
All steps are correct done
clear
D)
Step 1 should be to draw\[BC=5\,\,cm\] done
clear
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question_answer19)
Given \[AB=3\,\,cm,\] \[AC=5.2\,\,cm,\] and \[\angle B=35{}^\circ .\] \[\angle ABC\] 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_answer20)
A triangle \[\Delta PQR\] with \[\angle Q=90{}^\circ ,\] \[QR=4\,\,cm\] and \[PR=5\,\,cm\] is constructed. What would be the measure of PQ?
A)
2 cm done
clear
B)
6 cm done
clear
C)
7 cm done
clear
D)
3 cm done
clear
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