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NextBasic Geometrical Ideas
Question:
1. Use the figure to name :
(a) Five points
(b) A line
(c) Four rays
(d) Five line segments
Solution: (a) The five points are O, B, C, D, and E.
(b) A line is .
(c) The four rays are .
(d) Five line segments are
2. Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.
Solution: The name of lines are:
3. 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.
Solution: (a) Line and
contains point E.
(b) Line passing through A is .
(c) Point O lies on the line .
(d) ,
and
,
are the two pairs of intersecting lines.
4. How many lines can pass through (a) one given point? (b) two given points?
Solution: (a) Infinite number of lines can pass through the one given point.
(b) One line can pass through the two given points.
5. Draw a rough figure and label suitably in each of the following cases:
(a) Point P lies on .
(b) and
intersect at M.
(c) Line contains E and F but not D.
(d) and
meet at O.
Solution: (a)
(b)
(c)
(d)
6. Consider the following figure of line . 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 .
(b) M, O, N are points on a line segment .
(c) M and N are end points of line segment .
(d) O and N are end points of line segment .
(e) M is one of the end points of line segment .
(f) M is point on ray .
(g) Ray is different from ray
.
(h) Ray is same as ray
.
(i) Ray is not opposite to ray
.
(j) O is not an initial point of .
(k) N is the initial point of and
.
Solution: (a) True
(b) True
(c) True
(d) False
(e) False
(f) False
(g) True
(h) False
(i) False
(j) False
(k) True
Answer:
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