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question_answer1)
A In a \[\Delta ABC,\] if \[A{{B}^{2}}=B{{C}^{2}}+A{{C}^{2}},\]at which vertex is the right angle?
A)
A done
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B)
B done
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C)
C done
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D)
Either A or B done
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question_answer2)
Which type of triangle is formed by \[BC=7.2\,\,cm,\] \[AC=6\text{ }cm\] and \[\angle {{120}^{o}}\]?
A)
An acute angled triangle. done
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B)
An obtuse angled 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_answer3)
Which triangle is formed by \[AB=3\text{ }cm,\] \[BC=4\text{ }cm\] and \[AC=8\text{ }cm\]?
A)
A scalene triangle. done
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B)
An isosceles triangle. done
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C)
An equilateral triangle. done
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D)
No triangle is formed. done
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question_answer4)
A If two angles in a triangle are \[{{65}^{o}}\] and \[{{85}^{o}},\] what is the third angle?
A)
\[{{30}^{o}}\] done
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B)
\[{{45}^{o}}\] done
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C)
\[{{60}^{o}}\] done
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D)
\[{{90}^{o}}\] done
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question_answer5)
If one angle is the average of the other two angles and the difference between the greatest and least angles is \[{{60}^{o}},\] which triangle is formed?
A)
An isosceles triangle. done
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B)
An equilateral triangle. done
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C)
A right angled triangle. done
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D)
A right angled isosceles triangle. done
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question_answer6)
In \[\Delta ABC,\] if \[AB=BC\] and \[\angle B={{80}^{o}}\] what is the measure of \[\angle C\]?
A)
\[{{50}^{o}}\] done
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B)
\[{{100}^{o}}\] done
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C)
\[{{130}^{o}}\] done
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D)
\[{{180}^{o}}\] done
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question_answer7)
7. Which triangle is formed by \[BC=AC=7.2\,cm\] and \[\angle C={{90}^{o}}\]?
A)
A right angled triangle. done
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B)
An isosceles triangle. done
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C)
A right angled isosceles triangle. done
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D)
No triangle is formed. done
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question_answer8)
Which of the following statements is false?
A)
The sum of two sides of a triangle is greater than the third side. done
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B)
In a right angled triangle, hypotenuse is the longest side. done
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C)
A, B and C are collinear if \[AB+BC=AC\]. done
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D)
The sum of angles in a triangle is less than \[{{180}^{o}}\]. done
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question_answer9)
What is the length of the hypotenuse of a right angled triangle whose two legs measure \[12\text{ }cm\] and\[0.35\text{ }m\]?
A)
\[37cm\] done
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B)
\[3.72\,cm\] done
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C)
\[0.372\,cm\] done
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D)
\[37\,m\] done
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question_answer10)
If the two legs of a right angled triangle are equal and the square of the hypotenuse is \[100\text{ }sq\] units, what is the length of each leg?
A)
10 units done
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B)
\[5\sqrt{2}\] units done
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C)
\[10\sqrt{2}\] units done
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D)
15 units done
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question_answer11)
In a \[\Delta PQR,\,\,PQ=PR\] and \[\angle Q\] is twice that of \[\angle P\]. What is the measure of \[\angle Q\]?
A)
\[{{72}^{o}}\] done
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B)
\[{{36}^{o}}\] done
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C)
\[{{144}^{o}}\] done
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D)
\[{{108}^{o}}\] done
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question_answer12)
If two sides of an isosceles triangle are \[3\,\,cm\] and \[8\,\,cm,\] what is the length of the third side?
A)
\[3\,\,cm\] done
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B)
\[8\,\,cm,\] done
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C)
\[3\,\,cm\] or \[8\,\,cm,\] done
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D)
Neither [a] nor [b] done
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question_answer13)
If in a \[\Delta ABC,\,\,\angle A={{60}^{o}}\] and \[AB=AC,\]of what type is \[\Delta \,ABC\]?
A)
An isosceles triangle. done
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B)
A right angled triangle. done
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C)
An isosceles right angled triangle. done
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D)
An equilateral triangle. done
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question_answer14)
In a \[\Delta \,ABC,\]if \[AB+BC=10cm,\] \[BC+CA=12cm\], \[CA+AB=16\text{ }cm,\]what is the sum of the lengths of its sides?
A)
\[19\,cm\] done
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B)
\[17\,cm\] done
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C)
\[38\,cm\] done
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D)
\[30\,cm\] done
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question_answer15)
Which of the following are the angles in a right angled triangle other than the right angle?
A)
Acute angles done
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B)
Obtuse angles done
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C)
Right angles done
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D)
Reflex angles done
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question_answer16)
In a \[\Delta \,ABC,\] if \[\angle A=\angle B+\angle C,\]what is the measure of \[\angle A\]
A)
\[{{60}^{o}}\] done
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B)
\[{{45}^{o}}\] done
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C)
\[{{90}^{o}}\] done
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D)
\[{{135}^{o}}\] done
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question_answer17)
If a, b and c are the sides of a triangle, which of the following is correct?
A)
\[a-b>c\] done
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B)
\[c>a+b\] done
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C)
\[c=a+b\] done
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D)
\[b<c+a\] done
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question_answer18)
If the angles of a triangle are in the ratio \[1:2:7,\]what type of a triangle is it?
A)
An acute angled triangle. done
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B)
An obtuse angled triangle. done
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C)
A right angled triangle. done
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D)
A right angled isosceles triangle. done
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question_answer19)
A triangle always has
A)
exactly one acute angle, done
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B)
exactly two acute angles. done
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C)
at least two acute angles. done
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D)
exactly 2 right angles. done
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question_answer20)
How many independent measurements are required to construct a triangle?
A)
\[3\] done
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B)
\[4\] done
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C)
\[2\] done
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D)
\[5\] done
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question_answer21)
In a \[\Delta ABC,\] if \[\angle B\] is an obtuse angle, which is the longest side?
A)
AB done
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B)
BC done
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C)
AC done
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D)
Either [a] or [b] done
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question_answer22)
If P: An isosceles triangle is right angled. \[Q:\angle A=\angle B={{45}^{o}}\] and \[\angle C={{90}^{o}}\] which of the following statements is true?
A)
P is true and Q is the correct explanation of P. done
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B)
P is true and Q is not the correct explanation of P. done
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C)
P is false. done
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D)
P is the correct explanation of Q. done
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question_answer23)
An isosceles triangle can be obtuse angled.
A)
Always false. done
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B)
Always true. done
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C)
Cannot be determined. done
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D)
Sometimes false. done
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question_answer24)
Which of the following statements is correct?
A)
The difference of any two sides is less than the third side. done
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B)
A triangle cannot have two obtuse angles. done
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C)
A triangle cannot have an obtuse angle and a right angle. done
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D)
All the above. done
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question_answer25)
Two chimneys 18m and 13m high stand upright on a ground. If their feet are 12m apart, what is the distance between their tops?
A)
\[5\,m\] done
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B)
\[31\,m\] done
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C)
\[13\,m\] done
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D)
\[18\,m\] done
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question_answer26)
The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, what is the actual height of the tree?
A)
\[20\,m\] done
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B)
\[25\,m\] done
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C)
\[30\,m\] done
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D)
\[17\,m\] done
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question_answer27)
What is the ratio in which the centroid of a triangle divides the medians?
A)
\[1:2\] done
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B)
\[1:3\] done
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C)
\[2:1\] done
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D)
\[3:1\] done
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question_answer28)
The centroid of a triangle is the point of concurrence of which of these?
A)
Angle bisectors done
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B)
Perpendicular bisectors done
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C)
Altitudes done
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D)
Medians done
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question_answer29)
Which of the following statements is true?
A)
The centroid of an acute angled triangle lies in the interior of the triangle. done
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B)
The ortho centre of an acute angled triangle lies in the interior of the triangle. done
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C)
The medians of a triangle are concurrent. done
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D)
All the above. done
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question_answer30)
In \[\Delta ABC,\,\,D\] is the midpoint of BC and G is ^^ the centroid of the triangle. If \[GD=2\text{ }cm,\]what is the length of AD?
A)
\[4\,\,cm\] done
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B)
\[6\,\,cm\] done
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C)
\[2\,\,cm\] done
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D)
\[8\,\,cm\] done
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question_answer31)
In a \[\Delta ABC,\,E\] is the midpoint of AC and G is the centroid of the triangle. What is \[BE:GE\]?
A)
\[1:2\] done
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B)
\[2:1\] done
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C)
\[3:1\] done
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D)
\[1:3\] done
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question_answer32)
Which of the following statements is true?
A)
The ortho centre of a right angled triangle is the vertex containing the right angle. done
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B)
The median of a triangle joins a vertex to the midpoint of the opposite side. done
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C)
The centroid of a right angled triangle lies in the interior of the triangle. done
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D)
All the above. done
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question_answer33)
In a scalene triangle ABC, X is the midpoint of BC. What is AX?
A)
Median done
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B)
Altitude done
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C)
Centroid done
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D)
Ortho centre done
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question_answer34)
In \[\Delta PQR,\] \[PQ=PR;\]M is a point on QR and \[PM\bot OR\] .What do you call PM?
A)
Centroid done
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B)
Median done
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C)
Altitude done
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D)
Vertex done
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question_answer35)
In \[\Delta XYZ,\] XP is the median. Which of the following is correct?
A)
\[XP=XY\] done
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B)
\[YP=PZ\] done
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C)
\[XP=XZ\] done
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D)
\[XY=XZ\] done
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question_answer36)
From the figure given, which of the following statements is true?
A)
\[\angle x+\angle y=\angle 1+\angle 3\] done
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B)
\[\angle y=\angle 2\] done
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C)
\[\angle x=\angle 1\] done
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D)
\[\angle x+\angle y=\angle 1+\angle 2\] done
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question_answer37)
The exterior angle of a triangle is \[{{110}^{o}}\]. If one of the interior opposite angles is \[{{55}^{o}},\]what is the measure of the other?
A)
\[{{45}^{o}}\] done
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B)
\[{{65}^{o}}\] done
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C)
\[{{55}^{o}}\] done
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D)
\[{{35}^{o}}\] done
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question_answer38)
In \[\Delta PQR,\,\,\angle Q={{90}^{o}}\]. Which of the following is the longest side?
A)
RQ done
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B)
PQ done
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C)
PR done
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D)
Either [a] or [b] done
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question_answer39)
Which of the following statements is NOT true?
A)
A triangle can have three 60° angles. done
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B)
A triangle can have a right angle. done
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C)
A triangle can have two right angles. done
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D)
A triangle can have all three angles equal. done
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question_answer40)
From the following figure, what are the respective values of x and y?
A)
\[{{80}^{o}},{{60}^{o}}\] done
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B)
\[{{60}^{o}},{{40}^{o}}\] done
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C)
\[{{60}^{o}},{{80}^{o}}\] done
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D)
\[{{40}^{o}},{{60}^{o}}\] done
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question_answer41)
Angles of a triangle are \[(x+{{10}^{o}}),\,\,(x+{{40}^{o}})\]and \[(2x-{{30}^{o}})\]. What is the value of x?
A)
\[{{30}^{o}}\] done
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B)
\[{{40}^{o}}\] done
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C)
\[{{20}^{o}}\] done
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D)
\[{{10}^{o}}\] done
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question_answer42)
In the figure given, what are the values of \[\angle b,\,\,\angle c\] and \[\angle a\] respectively?
A)
\[{{18}^{o}},{{70}^{o}}\] and \[{{92}^{o}}\] done
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B)
\[{{92}^{o}},\,{{70}^{o}}\] and \[{{18}^{o}}\] done
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C)
\[{{70}^{o}},{{92}^{o}}\] and \[{{18}^{o}}\] done
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D)
\[{{70}^{o}},{{18}^{o}}\] and \[{{92}^{o}}\] done
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question_answer43)
In \[\Delta ABC,\] \[AB=AC,\] \[\angle A={{40}^{o}}\] ,O is a point inside \[\Delta ABC\] such that \[\angle OBC=\angle OCA\]. Find the measure of \[\angle BOC\].
A)
\[{{110}^{o}}\] done
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B)
\[{{35}^{o}}\] done
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C)
\[{{140}^{o}}\] done
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D)
\[{{155}^{o}}\] done
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question_answer44)
The triangle XYZ is right angled at X .Which is the longest side of \[\Delta XYZ\]?
A)
XY done
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B)
XZ done
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C)
ZX done
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D)
YZ done
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question_answer45)
Which of the following statements is correct?
A)
The exterior angle of a triangle is equal to its interior adjacent angle. done
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B)
The median of a triangle joins its vertex to the midpoint of its opposite side. done
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C)
The altitude of a triangle is drawn from a vertex to the midpoint of the opposite side. done
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D)
All the above. done
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question_answer46)
What is the number of medians in a triangle?
A)
0 done
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B)
2 done
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C)
3 done
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D)
1 done
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question_answer47)
Find the measure of y in the given figure.
A)
\[{{30}^{o}}\] done
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B)
\[{{60}^{o}}\] done
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C)
\[{{90}^{o}}\] done
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D)
\[{{120}^{o}}\] done
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question_answer48)
A In the figure, \[AB=AC\] and \[AD||BC\] Find the respective measures of x, y and z.
A)
\[x={{70}^{o}},y={{70}^{o}},z={{55}^{o}}\] done
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B)
\[x={{70}^{o}},y={{55}^{o}},z={{55}^{o}}\] done
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C)
\[x={{55}^{o}},y={{55}^{o}},z={{55}^{o}}\] done
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D)
\[x={{70}^{o}},y={{55}^{o}},z={{70}^{o}}\] done
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question_answer49)
Find the angles x and y respectively.
A)
\[x={{47}^{o}},y={{25}^{o}}\] done
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B)
\[x={{27}^{o}},y={{45}^{o}}\] done
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C)
\[x={{45}^{o}},y={{27}^{o}}\] done
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D)
\[x={{25}^{o}},y={{47}^{o}}\] done
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question_answer50)
Find the value of x.
A)
\[{{106}^{o}}\] done
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B)
\[{{53}^{o}}\] done
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C)
\[{{26}^{o}}\] done
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D)
\[{{52}^{o}}\] done
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question_answer51)
Find the measure of x in the following figure.
A)
\[{{112}^{o}}\] done
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B)
\[{{56}^{o}}\] done
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C)
\[{{68}^{o}}\] done
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D)
\[{{106}^{o}}\] done
clear
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