Mathematics
In context of the adjoining figure, state whether the following statements are true (T) or false (F):
(i) Point A is in the interior of ∠AOD.
(ii) Point B is in the interior of ∠AOC.
(iii) Point C is in the exterior of ∠AOB.
(iv) Point D is in the exterior of ∠AOC.
Answer
(i) False — Point A lies on the ray OA (i.e., on the boundary of ∠AOD), so it is not in the interior of ∠AOD.
(ii) True — Point B lies between the rays OA and OC, so B is in the interior of ∠AOC.
(iii) True — Point C lies outside the angle AOB (i.e., outside the region between rays OA and OB), so C is in the exterior of ∠AOB.
(iv) True — Point D lies outside the region between rays OA and OC, so D is in the exterior of ∠AOC.
Related Questions
From the adjoining figure, write
(i) all pairs of parallel lines.
(ii) all pairs of intersecting lines.
(iii) lines whose point of intersection is E.
(iv) collinear points.
In the adjoining figure:
(a) Name:
(i) parallel lines.
(ii) all pairs of intersecting lines.
(iii) concurrent lines.
(b) State whether true or false:
(i) points A, B and D are collinear.
(ii) lines AB and ED intersect at C.
How many angles are marked in the adjoining figure? Name them.
In context of the adjoining figure, name
(i) all triangles
(ii) all triangles having point E as common vertex.
