
Draw a rough figure and label suitably in each of the following cases:
(a) Point P lies on the line segment AB.
(b) XY and PQ intersect at M.
(c) Line I contains E and F but not D.
(d) OP and OQ meet at O.
Answer
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Hint: We are given several instructions in different questions. We will take them one each at a time and plot them and label them appropriately. The terms used to denote the parts of the figure such as the line segment and the line should be made appropriately as well.
Complete step-by-step solution:
According to the given question, we are given a set of instructions in each of the four parts. We have to draw and label them respectively with appropriate notations and symbols.
(a) Point P lies on the line segment AB -
So, first we have to draw a line segment and name the ends as A and B. A line segment is a fixed line with endpoints. And on it, we have to place a point P.
We have the following plot,
(b) XY and PQ intersect at M –
Here, XY and PQ are two line segments. And these two line segments intersect. The point of intersection is named as M.
The plot for the same is as follows,
(c) Line I contains E and F but not D.
We have a line labelled ‘I’. on the line I, we have two points marked on it namely E and F. There is a third point D, but it is outside the line I, that is, we have to mark the point D anywhere but the line I.
The plot is as follows,’
(d) OP and OQ meet at O.
Here, OP and OQ are two line segments. The two lines converge and meet at a common point O or we can also say that a point O in extended two directions and named the ends as P and Q.
The plot is as follows,
Note: The instruction should be carefully read and only then the figures are to be drawn. Make sure that the figures are as clean as possible. Also, the terms used both implicitly and explicitly should be understood. Line segment AB or just simply AB both mean the same thing and should be understood clearly.
Complete step-by-step solution:
According to the given question, we are given a set of instructions in each of the four parts. We have to draw and label them respectively with appropriate notations and symbols.
(a) Point P lies on the line segment AB -
So, first we have to draw a line segment and name the ends as A and B. A line segment is a fixed line with endpoints. And on it, we have to place a point P.
We have the following plot,
(b) XY and PQ intersect at M –
Here, XY and PQ are two line segments. And these two line segments intersect. The point of intersection is named as M.
The plot for the same is as follows,
(c) Line I contains E and F but not D.
We have a line labelled ‘I’. on the line I, we have two points marked on it namely E and F. There is a third point D, but it is outside the line I, that is, we have to mark the point D anywhere but the line I.
The plot is as follows,’
(d) OP and OQ meet at O.
Here, OP and OQ are two line segments. The two lines converge and meet at a common point O or we can also say that a point O in extended two directions and named the ends as P and Q.
The plot is as follows,
Note: The instruction should be carefully read and only then the figures are to be drawn. Make sure that the figures are as clean as possible. Also, the terms used both implicitly and explicitly should be understood. Line segment AB or just simply AB both mean the same thing and should be understood clearly.
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