NCERT Solutions

Rihan marked a point on a piece of paper. How many lines can he draw that pass through the point?

Sheetal marked two points on a piece of paper. How many different lines can she draw that pass through both of the points?

Can you help Rihan and Sheetal find their answers?

Name the line segments in the figure shown (Fig. 2.4). Which of the five marked points are on exactly one of the line segments? Which are on two of the line segments?

Name the rays shown in the figure (Fig. 2.5). Is T the starting point of each of these rays?

Draw a rough figure and write labels appropriately to illustrate each of the following: a. $\overleftrightarrow{\mathrm{OP}}$ and $\overleftrightarrow{\mathrm{OQ}}$ meet at O . b. $\overrightarrow{\mathrm{XY}}$ and $\overleftrightarrow{\mathrm{PQ}}$ intersect at point M . c. Line $l$ contains points E and F but not point D . d. Point P lies on AB .

In the figure shown (Fig. 2.6), name: a. Five points b. A line c. Four rays d. Five line segments

Here is a ray $\overrightarrow{\mathrm{OA}}$ (Fig. 2.7). It starts at O and passes through the point A. It also passes through the point B. a. Can you also name it as $\overrightarrow{\mathrm{OB}}$? Why? b. Can we write $\overrightarrow{\mathrm{OA}}$ as $\overrightarrow{\mathrm{AO}}$? Why or why not?

Can you find the angles in the given pictures? Draw the rays forming any one of the angles and name the vertex of the angle.

Draw and label an angle with arms ST and SR.

Explain why $\angle APC$ cannot be labelled as $\angle P$.

Name the angles marked in the given figure.

Mark any three points on your paper that are not on one line. Label them A, B, C. Draw all possible lines going through pairs of these points. How many lines do you get? Name them. How many angles can you name using A, B, C? Write them down, and mark each of them with a curve.

Now mark any four points on your paper so that no three of them are on one line. Label them A, B, C, D. Draw all possible lines going through pairs of these points. How many lines do you get? Name them. How many angles can you name using A, B, C, D? Write them all down, and mark each of them with a curve.