Mathematics
Fill in the following blanks:
(i) There is exactly one line passing through ….. distinct points in a plane.
(ii) Two different lines in a plane either ….. at exactly one point or are parallel.
(iii) The curves which have different beginning and end points are called ….. curves.
(iv) A curve which does not cross itself at any point is called a ….. curve.
(v) A simple closed curve made up entirely of line segments is called a …. .
(vi) A quadrilateral has ….. diagonals.
(vii) A line segment has a ….. length.
Geometrical Concepts
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Answer
(i) There is exactly one line passing through two distinct points in a plane.
(ii) Two different lines in a plane either intersect at exactly one point or are parallel.
(iii) The curves which have different beginning and end points are called open curves.
(iv) A curve which does not cross itself at any point is called a simple curve.
(v) A simple closed curve made up entirely of line segments is called a polygon.
(vi) A quadrilateral has two diagonals.
(vii) A line segment has a definite length.
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Related Questions
In the adjoining figure, identify:
(i) the centre of the circle
(ii) three radii
(iii) a diameter
(iv) a chord
(v) two points in the interior
(vi) a point in the exterior
(vii) a sector
(viii) a segment.
State whether the following statements are true (T) or false (F):
(i) Every diameter of a circle is also a chord.
(ii) Every chord of a circle is also a diameter.
(iii) Two diameters of a circle will necessarily intersect.
(iv) The centre of the circle is always in its interior.
Fill in the blanks with correct word(s) to make the statement true:
(i) Radius of a circle is one-half of its …..
(ii) A radius of a circle is a line segment with one end point at ….. and the other end-point on …..
(iii) A chord of a circle is a line segment with its end points ….
(iv) A diameter of a circle is a chord that ….. the centre of the circle.
(v) All radii of a circle are …..
State whether the following statements are true (T) or false (F):
(i) The line segment is the shortest route from A to B.
(ii) A line cannot be drawn wholly on a sheet of paper.
(iii) A line segment is made of infinite (uncountable) number of points.
(iv) Two lines in a plane always intersect.
(v) Through a given point only one line can be drawn.
(vi) Two different lines can be drawn passing through two distinct points.
(vii) Every simple closed curve is a polygon.
(viii) Every polygon has atleast three sides.
(ix) A vertex of a quadrilateral lies in its interior.
(x) A line segment with its end-points lying on a circle is called a diameter of the circle.
(xi) Diameter is the longest chord of the circle.
(xii) The end-points of a diameter of a circle divide the circle into two parts; each part is called a semicircle.
(xiii) A diameter of a circle divides the circular region into two parts; each part is called a semicircular region.
(xiv) The diameters of a circle are concurrent. The centre of the circle is the point common to all diameters.
(xv) Every circle has unique centre and it lies inside the circle.
(xvi) Every circle has unique diameter.