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Mathematics

In the adjoining figure, name the point(s)
(i) in the interior of ∠DOE
(ii) in the exterior of ∠EOF
(iii) on ∠EOF

Geometrical Concepts

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Answer

(i) The interior of ∠DOE is the region of the plane lying between the rays OD and OE.

∴ The point in the interior of ∠DOE is A.

(ii) The exterior of ∠EOF is the region of the plane lying outside the angle EOF.

∴ The points in the exterior of ∠EOF are A, D and C.

(iii) The points lying on the boundary (on either of the rays OE or OF) belong to the angle ∠EOF.

∴ The points on ∠EOF is O, B, E, F.

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Related Questions

Consider the adjoining figure of the line $\overleftrightarrow{MN}$ . State whether the following statements are true (T) or false (F) in context of the given figure.
(i) Q, M, O, N and P are points on the line $\overleftrightarrow{MN}$ .
(ii) M, O and N are points on the line segment $\overline{MN}$ .
(iii) M and N are end points of the segment $\overline{MN}$ .
(iv) O and N are end points of the segment $\overline{OP}$ .
(v) M is a point on the ray $\overrightarrow{OP}$ .
(vi) M is one of the end point of the segment $\overline{QO}$ .
(vii) Ray $\overrightarrow{OP}$ is same as ray $\overrightarrow{OM}$ .
(viii) Ray $\overrightarrow{OM}$ is not opposite to ray $\overrightarrow{OP}$ .
(ix) Ray $\overrightarrow{OP}$ is different from ray $\overrightarrow{QP}$ .
(x) O is not an initial point of ray $\overrightarrow{OP}$ .
(xi) N is the initial point of $\overrightarrow{NP} \text{ and } \overrightarrow{NM}$ .
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