Basic Geometrical Ideas
Exercise 4.1
1). Use the figure to name
a). Five points
b). A line
c). Four rays
d). Five line segments
Answer:
a). Five points
B, O, E, D, C.
b). A line
There are many possible answers. For example line DE, line DB, line DO, line EB, etc.
c). Four rays
There are many possible answers. For example ray DE, ray DB, ray DO, ray EB, ray OC etc.
d). Five line segments
There are many possible answers. For example seg DE, seg DB, seg DO, seg EB, seg OC etc.
2). Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.
AB, AC, AD, BC, BD, CD, BA, CA, CB, DC, DB, DA
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.
Answer:
a). Line containing point E.
There are many possible answers. One of them is line EA.
b). Line passing through A.
There are many possible answers. One of them is line AE.
c). Line on which O lies
Line OC or Line CO.
d). Two pairs of intersecting lines.
Line EF and line AE and line OC and line AE.
4). How many lines can pass through
a). One given point
An infinite number of lines can pass through one given point.
b). two given points
One and only one line can pass through two given points.
5). Draw a rough figure and label suitable in each of the following cases:
a). Point P lies on AB.
b). XY and PQ intersect at M.
c). Line l contains E and F but not D.
d). OP and OQ meet at O.
6). Consider the following figure of line MN. Say whether following statements are true or false in context of the given figure
Answer:
a). Q, M, O, N, P are points on the line MN.
True
b). M, O, N are points on a line segment MN.
True
c). M and n are end points of line segment MN.
True
d). O and N are end points of line segment OP.
False
e). M is one of the end points of line segement QO.
False
f). M is point on ray OP.
False
g). Rau OP is different from ray QP.
True
h). Ray OP is same as ray OM.
False
i). Ray OM is not opposite to ray OP.
False
j). O is not an initial point of OP.
False
k). N is the initial point of NP and NM.
True
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