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question_answer1)
Identify the true statement.
A)
A triangle with 3 equal sides is isosceles. done
clear
B)
A triangle with a \[95{}^\circ \]angle can be 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_answer2)
In which of the following cases is the construction of a triangle not possible?
A)
Measures of 3 sides are given. done
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B)
Measures of 2 sides and an included angle are given. done
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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_answer3)
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_answer4)
Which among the following is sufficient to construct a triangle?
A)
The lengths of the three sides done
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B)
The perimeter of the triangle done
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C)
The measures of three angles done
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D)
The names of three vertices. done
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question_answer5)
In the given figure, find the measure of \[~\angle RQT\] (exterior\[~\angle le\]), if \[PQ=QR\] and\[\angle QPR=50{}^\circ \]
A)
\[80{}^\circ \] done
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B)
\[135{}^\circ \] done
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C)
\[100{}^\circ \] done
clear
D)
\[110{}^\circ \] done
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question_answer6)
Direction: Meera folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as 1, m and n.
Which of the following is true?
A)
\[1//m\] done
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B)
\[1//n\] done
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C)
\[n//m\] done
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D)
Either (b) or (c) done
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question_answer7)
Direction: Meera folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as 1, m and n.
What can you say about lines 1 and n?
A)
\[1//m\] done
clear
B)
\[1\bot n\] done
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C)
1 is the same line as n done
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D)
Neither (a) nor (b) done
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question_answer8)
A triangular sign board on highway from Agartala to Dibrugarh is isosceles. If the unequal side is 8 cm and one of the equal sides is 9 cm, what is the measure of the third side?
A)
\[9\text{ }cm\] done
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B)
\[\text{8 }cm\] done
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C)
\[\frac{17}{2}\text{ }cm\] done
clear
D)
Either (a) or (c) done
clear
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question_answer9)
Which of the following is used to draw a line parallel to a given line?
A)
A protractor done
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B)
A set square done
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C)
A ruler done
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D)
A ruler and compass done
clear
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question_answer10)
Which of the following statements is incorrect?
A)
The sum of angles in a triangle is 2 right angles. done
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B)
The exterior angle of a triangle is equal to the interior angle of the triangle. done
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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_answer11)
How many parallel lines can be drawn passing through a point not on the given line?
A)
2 done
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B)
1 done
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C)
3 done
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D)
0 done
clear
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question_answer12)
In which of the following cases can a triangle be constructed?
A)
Measures of three sides are given. done
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B)
Measures of two sides and an included angle are given. done
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C)
Measures of two angles and the side between them are given. done
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D)
All the above done
clear
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question_answer13)
Which type of triangle is in the classification based on angles only?
A)
An equilateral triangle done
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B)
A scalene triangle done
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C)
A right angled triangle done
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D)
An isosceles triangle done
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question_answer14)
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)
\[\Delta \text{ }DEF\] can be constructed. done
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B)
\[\Delta \text{ }DEF\] is an obtuse angled triangle. done
clear
C)
\[\Delta \text{ le}\] cannot be constructed done
clear
D)
\[\Delta \text{ }DEF\] is an acute angled triangle. done
clear
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question_answer15)
Based on the sides of a triangle, which of the following is a classification of triangles?
A)
A right angled triangle done
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B)
An acute angled triangle done
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C)
An obtuse angled triangle done
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D)
An isosceles triangle done
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question_answer16)
Which of the following can be used to construct a \[30{}^\circ \] angle?
A)
Construct a \[60{}^\circ \] angle using compasses and bisect it. done
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B)
Construct a perpendicular bisector of a line segment. done
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C)
Construct the bisector of any angle. done
clear
D)
Construct an angle congruent to any given angle. done
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question_answer17)
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
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C)
Step 3 done
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D)
Step 2 and 3 done
clear
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question_answer18)
In \[\Delta \text{ }XYZ,\]a, b, c denote the three sides, which of the following is incorrect?
A)
\[a-b>c\] done
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B)
\[a+c>b\] done
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C)
\[a-b<c\] done
clear
D)
\[a+b>c\] done
clear
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question_answer19)
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
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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_answer20)
Given \[PQ=6\text{ }cm,\text{ }QR=55\text{ }cm\] and \[RP=55\text{ }cm,\]what type of a triangle can be constructed?
A)
An acute angled triangle. done
clear
B)
An obtuse angled triangle done
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C)
An equilateral triangle done
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D)
A right angle triangle done
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question_answer21)
Identify the false statement.
A)
A triangle with three equal sides is called an equilateral triangle. done
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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_answer22)
Identify the condition to be checked before constructing a triangle.
A)
Sum of the three angles is\[180{}^\circ \]. done
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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
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D)
All the above. done
clear
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question_answer23)
Identify the condition when a triangle can be constructed?
A)
One side and two acute angles are given. done
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B)
A side and an acute angle are given done
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C)
Two obtuse angles are given. done
clear
D)
All given sides are equal. done
clear
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question_answer24)
How many perpendicular lines can be drawn to a line from a point not on it?
A)
1 done
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B)
2 done
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C)
0 done
clear
D)
Infinite done
clear
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question_answer25)
\[\Delta PQR\] 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_answer26)
Rajkumari folds a sheet of paper in the following way:
Which of the following is false?
A)
Line \[O||\] line of P done
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B)
Line \[m\bot \] line n done
clear
C)
With respect to lines O & P, line 'n' is a transversal done
clear
D)
With respect to lines m and n, line 'O' is transversal done
clear
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question_answer27)
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
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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_answer28)
In \[\Delta ABC\text{ }\overline{AB}>\overline{BC}>\overline{CA}\] which of the following is the smallest angle?
A)
\[\angle A\] done
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B)
\[\angle B\] done
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C)
\[\angle C\] done
clear
D)
\[\angle A=\angle B=\angle C\] done
clear
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question_answer29)
An isosceles triangle is constructed as shown in the figure.
Which of the given statements in 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)
In right angled \[\Delta PQR\], its equal angles measure as \[90{}^\circ ,45{}^\circ ,45{}^\circ .\] done
clear
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question_answer30)
Identify the angle that gets constructed: after step 4 and by joining the points O and T.
A)
\[30{}^\circ \] done
clear
B)
\[45{}^\circ \] done
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C)
\[60{}^\circ \] done
clear
D)
\[90{}^\circ \] done
clear
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question_answer31)
In the above figure, identify the angle constructed after step 3 and by joining the points O and S.
A)
\[80{}^\circ C\] done
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B)
\[75{}^\circ \] done
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C)
\[120{}^\circ \] done
clear
D)
\[135{}^\circ \] done
clear
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question_answer32)
Identify the angle that is constructed after step 5 in the figure below and by joining the points O and U (where \[\overset\frown{PR}=\overset\frown{RS}=\overset\frown{ST}\]
A)
\[40{}^\circ \] done
clear
B)
\[140{}^\circ \] done
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C)
\[135{}^\circ \] done
clear
D)
\[150{}^\circ \] done
clear
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question_answer33)
Given \[AB=6\text{ }cm\text{ }BC=7cm\text{ }CA=8\text{ }cm,\]which of are the following are right steps for constructing \[\Delta ABC\].
A)
Step 1 is correct step 2 & 3 are wrong done
clear
B)
Step 2 & 3 are right step 1 is wrong done
clear
C)
All steps 1 to 3 are right done
clear
D)
None of the above. done
clear
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question_answer34)
Which property has been used to construct the triangle in question 33?
A)
RHS property done
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B)
SSS property done
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C)
SAS property done
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D)
ASA property done
clear
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question_answer35)
Given \[AB=3\text{ }cm,\text{ }BC=5\text{ }cm\] \[\angle C=70{}^\circ ,\]are the following steps to construct the \[\Delta le\]correctly shown?
Step 1: Draw \[AB=3\text{ }cm\] |
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_answer36)
Which property is the correct one to construct triangle in question 35.
A)
SSS Property done
clear
B)
SAS property done
clear
C)
RHS property done
clear
D)
AAA property done
clear
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question_answer37)
A line p and a point X not on it are given. Which of the following can be used to draw a line parallel to p through X?
A)
Equal corresponding angles done
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B)
Congruent triangles. done
clear
C)
Heron's formula done
clear
D)
Pythagoras' theorem. done
clear
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question_answer38)
Given \[AB=3\text{ }cm,\text{ }AC=5.2\text{ }cm,\]and \[\angle B=35{}^\circ .\text{ }\angle ABC\] 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
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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_answer39)
A triangle \[\Delta PQR\] with \[\angle Q=90{}^\circ ,\text{ }QR=4\text{ }cm\] 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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question_answer40)
The idea of equal alternate angles in 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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