In the following cases, state whether you can draw line segments on the given surfaces: The face of a cuboid.
Question types
Basic Geometrical Concepts question types
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Sample Questions
Basic Geometrical Concepts questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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State which of the following statements are true (T) and which are false (F): All lines in a horizontal plane are horizontal.
Give three examples from your environment of: Plane surface.
Can you draw a line on the surface of a sphere which lies wholly on it?
State which of the following statements are true (T) and which are false (F):
The minimum number of points of intersection of three lines is one.
The minimum number of points of intersection of three lines is one.
Illustrate, if possible, one of the following with a rough diagram: An open curve made up entirely of line segments.
Lines $p, q$ are coplanar. So are the lines $p, r.$ Can we conclude that the lines $p, q, r$ are coplanar$?$
View full solution →From write concurrent lines and their points of concurrence.
Using a ruler, check whether the following points given in collinear or not:
$i.\ D, A$ and $C$
$ii.\ A, B$ and $C$
$iii.\ A, B$ and $E$
$iv.\ B, C$ and $E$
View full solution →$i.\ D, A$ and $C$
$ii.\ A, B$ and $C$
$iii.\ A, B$ and $E$
$iv.\ B, C$ and $E$
Draw a polygon and shade its interior. Also draw its diagonals.
In name:
$i.\ $Five line segments.
$ii.\ $Five rays.
$iii.\ $Non$-$intersecting line segments.
View full solution →$i.\ $Five line segments.
$ii.\ $Five rays.
$iii.\ $Non$-$intersecting line segments.
Lines p, q and r are concurrent. Also lines $p$, s and t are concurrent. Is it always true that the lines $q, r$ and s will be concurrent? Is it always true for lines $q, r$ and $t?$
View full solution →From write:
$i.\ $All paris of parallel lines.
$ii.\ $All pairs of intersecting lines.
$iii.\ $Lines whose point of intersection is $I.$
$iv.\ $Lines whose point of intersection is $D.$
$v.\ $Lines whose point of intersection is $E$.
$vi.\ $Lines whose point of intersection is $A.$
$vii.\ $Collinear points.
View full solution →$i.\ $All paris of parallel lines.
$ii.\ $All pairs of intersecting lines.
$iii.\ $Lines whose point of intersection is $I.$
$iv.\ $Lines whose point of intersection is $D.$
$v.\ $Lines whose point of intersection is $E$.
$vi.\ $Lines whose point of intersection is $A.$
$vii.\ $Collinear points.
There are a number of ways by which we can visualise a portion of a line. State whether the following represent a portion of a line of not:
$i.\ $A piece of elastic stretched to the breaking point.
$ii.\ $Wire between two electric poles.
$iii.\ $The line thread by which a spider lowers itself.
View full solution →$i.\ $A piece of elastic stretched to the breaking point.
$ii.\ $Wire between two electric poles.
$iii.\ $The line thread by which a spider lowers itself.
Mark four points $A, B, C$ and $D$ in your notebook such that no three of them are collinear. Draw all the lines which join them in pairs as shown.
$i.\ $How many such lines can be drawn?
$ii.\ $Write the names of these lines.
$iii.\ $Name the lines which are concurrent at $A.$
View full solution →$i.\ $How many such lines can be drawn?
$ii.\ $Write the names of these lines.
$iii.\ $Name the lines which are concurrent at $A.$
Give the correct matching of the statements of Column $A$ and Column $B.$
View full solution →|
No.
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Column A
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Column B
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$i$
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Points are collinear.
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$a.$
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May be parallel or intersecting.
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$ii$
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Line is completely known.
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$b.$
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Are undefined terms in geometry.
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$iii$
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Two lines in a plane.
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$c.$
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If they lie on the same line.
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$iv$
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Relations between points and lines.
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$d.$
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Can pall through a point.
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$v$
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Three non-collinear points.
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$e.$
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Determine a plane.
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$vi$
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A plane extends.
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$f.$
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Are called incidence porperties.
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$vii$
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Indefinite number of lines.
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$g.$
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It two points are givne.
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$viii$
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Point, line and plane are.
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$h.$
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Indefinitely in all directions.
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