Use the figure to name (a) five points (b) a line (c) four rays (d) five line segments.
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Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given letters.
Use the figure to name
(a) line containing point E. (b) line passing through A. (c) line on which O lies. (d) two pairs of intersecting lines.
How many lines can pass through (a) one given point? (b) two given points?
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Draw a rough figure and label suitably in each of the following cases. (a) Point P lies on \[\overline{AB}.\] (b)\[\overset{\leftrightarrow }{\mathop{XY}}\,\] and \[\overset{\leftrightarrow }{\mathop{PQ}}\,\] intersect at M. (c) Line \[l\] contains E and F but not D. (d) \[\overset{\leftrightarrow }{\mathop{OP}}\,\] and \[\overset{\leftrightarrow }{\mathop{OQ}}\,\] meet at O.
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Consider the following figure of line \[\overset{\leftrightarrow }{\mathop{MN.}}\,\]Say whether following statements are true or false in context of the given figure. (a) Q, M, O, N, P are points on the line \[\overset{\leftrightarrow }{\mathop{MN.}}\,\] (b) M, O, N are points on a line segment \[\overline{MN}.\] (c) M and N are end points of line segment \[\overline{MN}.\] (d) O and N are end points of line segment \[\overline{OP}.\] (e) M is one of the end points of line segment\[\overline{QO}.\] (f) M is point on ray \[\overline{OP}.\] (g) Ray \[\overset{\to }{\mathop{OP}}\,\] is different from ray \[\overset{\to }{\mathop{QP}}\,.\] (h) Ray \[\overset{\to }{\mathop{OP}}\,\]is same as ray\[\overset{\to }{\mathop{OM}}\,.\] (i) Ray\[\overset{\to }{\mathop{OM}}\,\]is not opposite to ray \[\overset{\to }{\mathop{OP}}\,.\] (j) O is not an initial point of\[\overset{\to }{\mathop{OP}}\,.\] (k) N is the initial point of \[\overset{\to }{\mathop{NP}}\,\] and \[\overset{\to }{\mathop{NM}}\,.\]
Classify the following curves as (i) open or (ii) closed.
TIPS A simple curve is one, that does not cross itself. Besides, when the ends of a curve are joined, it is called a closed curve. If its ends are not joined, it is called an open curve.
Draw rough diagram to illustrate the following (a) open curve, (b) closed curve.
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Draw any polygon and shade its interior. TIPS We know that a simple closed figure made up entirely of line segments is called a polygon and in a closed curve, the interior is inside of the curve.
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Consider the given figure and answer the questions. (a) Is it a curve? (b) Is it closed?
TIPS Any drawing drawn without lifting the pencil from the paper is called a curve. A curve is said to be a closed curve, if its ends are joined.
Illustrate, if possible, each one of the following with a rough diagram. (a) A closed curve that is not a polygon. (b) An open curve made up entirely of line segments. (c) A polygon with two sides.
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Name the angles in the given figure.
In the given diagram, name the point (s) (a) In the interior of \[\angle DOE.\] (b) In the exterior of \[\angle EOF.\] (c) On\[\angle EOF.\]
Draw rough diagrams of two angles such that they have (a) one point in common. (b) two points in common. (c) three points in common. (d) four points in common. (e) one ray in common.
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Draw a rough sketch of a \[\Delta ABC\]. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?
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(a) Identify three triangles in the figure. (b) Write the names of seven angles. (c) Write the names of six line segments. (d) Which two triangles have \[\angle B\]as common?
Draw a rough sketch of a quadrilateral \[PQRS.\] Draw its diagonals, name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?
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Draw a rough sketch of a quadrilateral KLMN. State, (a) two pairs of opposite sides. (b) two pairs of opposite angles. (c) two pairs of adjacent sides. (d) two pairs of adjacent angles.
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Investigate Use strips and fasteners to make a triangle and a quadrilateral. Try to push inward at any one vertex of the triangle. Do the same to the quadrilateral? Is the triangle distorted? Is the quadrilateral distorted? Is the triangle rigid? Why is it that structures like electric towers make use of triangular shapes and not quadrilaterals?
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From the figure, identify (a) the centre of circle (b) three radii (c) a diameter (d) a chord (e) two points in the interior (f) point in the exterior (g) a sector (h) a segment
(a) Is every diameter of a circle also a chord? (b) Is every chord of a circle also a diameter?
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Draw any circle and mark (a) its centre (b) a radius (c) a diameter (d) a sector (e) a segment (f) a point in its interior (g) a point in its exterior (h) an arc
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Say true or false. (a) Two diameters of a circle will necessarily intersect. (b) The centre of a circle is always in its interior.
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