# Consider the following figure of line $\overline{\mathrm{MN}}$. Say whether following statements are true or false in context of the given figure.(a) $\mathrm{Q}$

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To do:

We have to find whether the given statements are true or false.

Solution:

(a) We can observe that points $\mathrm{Q}, \mathrm{M}, \mathrm{O}, \mathrm{N}, \mathrm{P}$ are on the line $\mathrm{MN}$.

The given statement is true.

(b) We can observe that $\mathrm{M}, \overline{\mathrm{O}}, \mathrm{N}$ are points on the line segment $\overline{\mathrm{MN}}$.

The given statement is true.

(c) We can observe that $\mathrm{M}$ and $\mathrm{N}$ are end points of the line segment $\overline{\mathrm{MN}}$.

The given statement is true.

(d) We can observe that $\mathrm{O}$ and $\mathrm{P}$ are end points of line segment $\overline{\mathrm{OP}}$.

The given statement is false.

(e) We can observe that $M$ is not one of the end points of line segment $\overline{\mathrm{QO}}$.

The end points of line segment $\overline{\mathrm{QO}}$ are $Q$ and $O$.

The given statement is false.

(f) We can observe that point $\mathrm{M}$ is not on the ray $\overrightarrow{\mathrm{OP}}$.

The given statement is false.

(g) Ray $\overrightarrow{\mathrm{OP}}$ starts at point $O$

Ray $\overrightarrow{\mathrm{QP}}$ starts at point $Q$

The given statement is true.

(h) Ray $\overrightarrow{\mathrm{OP}}$ starts at point $O$

Ray $\overrightarrow{\mathrm{OM}}$ starts at point $O$ but is in opposite direction of the above ray.

The given statement is false.

(i) Ray $\overrightarrow{\mathrm{OP}}$ starts at point $O$

Ray $\overrightarrow{\mathrm{OM}}$ starts at point $O$ but is in opposite direction of the above ray.

The given statement is false.

(j) We can observe that $\mathrm{O}$ is the initial point of $\overrightarrow{\mathrm{OP}}$.

The given statement is false.

(k) We can observe that $\mathrm{N}$ is the initial point of $\overrightarrow{\mathrm{NP}}$ and $\mathrm{N}$ is also the initial point of $\overrightarrow{\mathrm{NM}}$

The given statement is true.

Updated on 10-Oct-2022 13:31:07