Mathematics
Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?
Answer
A rough sketch of triangle ABC is drawn below with point P inside the triangle and point Q outside the triangle.
Point A is a vertex of triangle ABC and lies on the boundary of the triangle. A point on the boundary is neither in the interior nor in the exterior of the triangle.
∴ Point A lies neither in the interior nor in the exterior of the triangle. It lies on the triangle (boundary).
Related Questions
Draw rough diagrams to illustrate the following:
(i) open simple curve
(ii) closed simple curve
(iii) open curve that is not simple
(iv) closed curve that is not simple
Consider the adjoining figure and answer the following questions:
(i) Is it a curve?
(ii) Is it a closed curve?
(iii) Is it a polygon?
Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them.
In context of the given figure:
(i) Is it a simple closed curve?
(ii) Is it a quadrilateral?
(iii) Draw its diagonals and name them.
(iv) State which diagonal lies in the interior and which diagonal lies in the exterior of the quadrilateral.