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question_answer1)
Which of the following statements is INCORRECT?
A)
The sum of any 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, C are collinear if\[AB+BC=AC\]. done
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D)
The sum of any two sides of a triangle is smaller than the third side. done
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question_answer2)
In the given diagram (not drawn to scale), PO and RS are straight lines. Which of the following statements is true?
A)
\[\angle f=\angle d\] done
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B)
\[\angle c=\angle e\] done
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C)
\[\angle a+\angle b=\angle f+\angle e\] done
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D)
\[\angle b+\angle c=\angle e+\angle f\] done
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question_answer3)
Which line is parallel to AB?
A)
CD done
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B)
EF done
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C)
GH done
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D)
IJ done
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question_answer4)
In the figure (not drawn to scale), AB is parallel to CD and \[\angle ECD\]is a right angle. Find \[\angle y\].
A)
\[{{111}^{o}}\] done
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B)
\[{{112}^{o}}\] done
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C)
\[{{113}^{o}}\] done
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D)
\[{{114}^{o}}\] done
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question_answer5)
In the figure (not drawn to scale), ABC is a straight line, \[\angle DBE\]is a right angle and \[\angle a=\angle b=\angle c=\angle d\]. Find \[\angle a\].
A)
\[{{22.5}^{o}}\] done
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B)
\[{{30}^{o}}\] done
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C)
\[{{45}^{o}}\] done
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D)
\[{{60}^{o}}\] done
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question_answer6)
In the figure (not drawn to scale), AGB, CGD and EGF are straight lines. Find \[\angle y\].
A)
\[{{97}^{o}}\] done
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B)
\[{{127}^{o}}\] done
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C)
\[{{100}^{o}}\] done
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D)
\[{{117}^{o}}\] done
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question_answer7)
In the figure (not drawn to scale), ABC and CDE are straight lines, \[\angle ACE\] is a right angle, \[DF||CG||BH\]. Find \[\angle Y\].
A)
\[{{65}^{o}}\] done
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B)
\[{{73}^{o}}\] done
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C)
\[{{62}^{o}}\] done
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D)
\[{{60}^{o}}\] done
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question_answer8)
In the figure (not drawn to scale), EEC and DFB are straight lines. Find \[\angle x\] and \[\angle y\]respectively.
A)
\[{{40}^{o}},{{62}^{o}}\] done
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B)
\[{{45}^{o}},{{61}^{o}}\] done
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C)
\[{{47}^{o}},{{54}^{o}}\] done
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D)
\[{{30}^{o}},{{60}^{o}}\] done
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question_answer9)
In the figure (not drawn to scale), AJE, BJF, CJG and DJH are straight lines.
Find \[\angle x\] and \[\angle y\] respectively.
A)
\[{{50}^{o}},{{49}^{o}}\] done
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B)
\[{{59}^{o}},{{40}^{o}}\] done
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C)
\[{{59}^{o}},{{59}^{o}}\] done
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D)
\[{{49}^{o}},{{48}^{o}}\] done
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question_answer10)
In the figure, PQ is parallel to ST. AB is a straight line. Find\[\angle BST\].
A)
\[{{110}^{o}}\] done
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B)
\[{{125}^{o}}\] done
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C)
\[{{152}^{o}}\] done
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D)
\[{{98}^{o}}\] done
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question_answer11)
In the figure,\[AB||CD||EF\]. Which of the following statements is true?
A)
\[a+b={{180}^{o}}\] done
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B)
\[b+c={{180}^{o}}\] done
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C)
\[c+d={{180}^{o}}\] done
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D)
\[a+b+c={{360}^{o}}\] done
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question_answer12)
In the given figure (not drawn to scale), \[\angle UVT={{72}^{o}}\]and \[\angle TSZ={{53}^{o}},\]then find \[\angle XZY+\angle SXY\].
A)
\[{{60}^{o}}\] done
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B)
\[{{125}^{o}}\] done
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C)
\[{{180}^{o}}\] done
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D)
None of these done
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question_answer13)
In the given figure, \[AB||GH||DE\]and \[GF||BD||HI\] \[\angle FGC={{80}^{o}}\]. Find the value of \[\angle CHI\].
A)
\[{{80}^{o}}\] done
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B)
\[{{120}^{o}}\] done
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C)
\[{{100}^{o}}\] done
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D)
\[{{160}^{o}}\] done
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question_answer14)
In the given figure, find the value of\[\angle BOC\].
A)
\[{{101}^{o}}\] done
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B)
\[{{149}^{o}}\] done
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C)
\[{{71}^{o}}\] done
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D)
\[{{140}^{o}}\] done
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question_answer15)
In the given figure, PQ, RS and UT are parallel lines. If \[c={{75}^{o}}\]and \[a=(2/5)c,\] find \[b+dl2\].
A)
\[{{92}^{o}}\] done
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B)
\[{{115}^{o}}\] done
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C)
\[{{112.5}^{o}}\] done
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D)
\[{{135.5}^{o}}\] done
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question_answer16)
In the given figure, AB and CD are straight lines. Find\[\angle y.\].
A)
\[{{97}^{o}}\] done
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B)
\[{{27}^{o}}\] done
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C)
\[{{77}^{o}}\] done
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D)
\[{{55}^{o}}\] done
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question_answer17)
In the given figure,\[AB||DE\]. Find a.
A)
\[{{67}^{o}}\] done
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B)
\[{{113}^{o}}\] done
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C)
\[{{40}^{o}}\] done
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D)
\[{{140}^{o}}\] done
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question_answer18)
If \[p||q,\]then find the value of \[\angle 1,\,\angle 2\] and \[\angle 1+\,\angle 2\]respectively.
A)
\[{{41}^{o}},{{90}^{o}},{{131}^{o}}\] done
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B)
\[{{42}^{o}},{{89}^{o}},{{131}^{o}}\] done
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C)
\[{{90}^{o}},{{41}^{o}},{{131}^{o}}\] done
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D)
\[{{49}^{o}},{{41}^{o}},{{90}^{o}}\] done
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question_answer19)
Which of the following options hold?
Statement 1: If two lines intersect then the vertically opposite angles are equal. |
Statement 2: Sum of all the angles around a point is \[{{180}^{o}}\]. |
A)
Both Statement-1 and Statement-2 are true. done
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B)
Statement-1 is true but Statement-2 is false. done
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C)
Statement-1 is false but Statement-2 is true. done
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D)
Both Statement-1 and Statement-2 are false. done
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question_answer20)
In the figure (not drawn to scale), DAE, CBH and ACG are straight lines,\[DAE||CBH||FG\]. Find x and/respectively.
A)
\[{{70}^{o}},{{35}^{o}}\] done
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B)
\[{{110}^{o}},{{145}^{o}}\] done
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C)
\[{{110}^{o}},{{35}^{o}}\] done
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D)
\[{{140}^{o}},{{20}^{o}}\] done
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question_answer21)
Fill in the blanks.
(i) A P has two end points. |
(ii) A line has Q end points on either side. |
(iii) A R is a line that intersects two or more lines at distinct points. |
(iv) An S is formed when two rays meets. |
A)
B)
C)
D)
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question_answer22)
If \[RS||PQ\]and \[RT||UQ,\] then find the value of\[8x-2y\].
A)
\[{{60}^{o}}\] done
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B)
\[{{30}^{o}}\] done
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C)
\[{{150}^{o}}\] done
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D)
\[{{100}^{o}}\] done
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question_answer23)
Which of the following options hold?
Statement 1: \[\angle e\] and \[\angle h\] are supplementary angles. |
Statement 2: \[\angle c+\angle d+\angle h+\angle b={{360}^{o}}\] |
A)
Both Statement-1 and Statement-2 are true. done
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B)
Statement-1 is true but Statement-2 is false. done
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C)
Statement-1 is false but Statement-2 is true. done
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D)
Both Statement-1 and Statement-2 are false. done
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question_answer24)
In the given figure (not drawn to scale), AD is parallel to BC. JDK, GHCI, EABF are straight and parallel lines.
Find:
(i) \[\angle GHD-\angle HDC\] |
(ii) \[\angle BCl+\angle HAB\]. |
A)
B)
C)
D)
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question_answer25)
Mohit got an assignment where he had to explain the types of angles formed by a pair of parallel lines.
He completed the assignment but when his teacher checked he saw mistakes. Identify the correct option pointing out the mistake in the parts (i to iv).
Types of Angle | Observations |
(i) Corresponding | \[\angle 1=\angle 5,\,\angle 3=\angle 7,\] \[\angle 2=\angle 6,\,\angle 4=\angle 8\] |
(ii) Alternate interior | \[\angle 3=\angle 6,\,\angle 4=\angle 5\] |
(iii) Vertically opposite | \[\angle 1=\angle 4,\,\angle 5=\angle 6\] |
(iv) Alternate exterior | \[\angle 1=\angle 8,\,\angle 2=\angle 5\] |
A)
Only (i) done
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B)
Only (ii) done
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C)
Both (i) and (iii) done
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D)
Both (iii) and (iv) done
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