Mathematics
In the adjoining figure, write
(i) all pairs of parallel lines.
(ii) all pairs of intersecting lines.
(iii) concurrent lines.
(iv) collinear points.
Geometrical Concepts
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Answer
(i) Lines that never meet are parallel lines.
∴ Pairs of parallel lines are l, m ; l, n; m, n.
(ii) Lines that cross each other are intersecting lines.
∴ Pairs of intersecting lines are l, p ; m, p ; n, p ; l, q ; m, q ; n, q ; l, r ; m, r ; n, r ; p, q ; p, r ; and q, r.
(iii) Three or more lines passing through the same point are concurrent.
∴ Lines n, r and q are concurrent.
(iv) Collinear points are points lying on the same line.
∴ Collinear points are A, B, C ; A, H, I, D ; D, E, F, G ; B, H, F and C, I, E.
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Related Questions
Use the adjoining figure to name:
(i) Line containing point E.
(ii) Line passing through A.
(iii) Line on which point O lies.
(iv) Two pairs of intersecting lines.
From the adjoining figure, write
(i) collinear points.
(ii) concurrent lines and their points of concurrence.
Count the number of line segments drawn in each of the following figures and name them:
Consider the adjoining figure of the line . State whether the following statements are true (T) or false (F) in context of the given figure.
(i) Q, M, O, N and P are points on the line .
(ii) M, O and N are points on the line segment .
(iii) M and N are end points of the segment .
(iv) O and N are end points of the segment .
(v) M is a point on the ray .
(vi) M is one of the end point of the segment .
(vii) Ray is same as ray .
(viii) Ray is not opposite to ray .
(ix) Ray is different from ray .
(x) O is not an initial point of ray .
(xi) N is the initial point of .