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Question 12 Marks
What is the difference between triangle and a triangular region?
Answer
A triangle is defined as a closed polygon consisting of three sides, where as a triangular region is the region that lies inside the three sides of triangles.
In the adjoining figure, the shaded region shows the triangular region.

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Question 22 Marks
In figure, $A, B, C$ and $D$ are four points, and no three points are collinear. $AC$ and $BD$ interest at $O.$ There are eight triangles that you can observe. Name all the triangles.
Answer
The following figure consists of triangles, namely $\triangle\text{ODC}, \triangle\text{ODA}, \triangle\text{OBC}, \triangle\text{OAB}, \triangle\text{ADB}, \triangle\text{ACB}, \triangle\text{DAC}$ and $\triangle\text{DBC.}$
Hence, there are a total of eight triangles.
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Question 32 Marks
Take three collinear points $A, B$ and $C$ on a page of your note book. Join $AB, BC$ and $CA.$ Is the figure a triangle? If not why$?$
Answer
Let us consider three collinear points $A, B$ and $C$ and join $AB, BC$ and $CA$

 The figure we get is not a triangle because it is a straight line consisting of only one side. It is also not a closed figure, where as a triangle is defined as a closed figure consisting of three sides.
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Question 42 Marks
In figure $D$ is a point on side BC of a $\triangle\text{ABC}. AD $ is joined. Name all the triangles that you can observe in the figure. How many are they?
Answer
The figure consists of triangles $\triangle\text{ADC},\triangle\text{ADC}$ and $\triangle\text{ABC}.$ Therefore, three triangles are present in the figure.
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Question 52 Marks
Distinguish between a triangle and its triangular region.
Answer
A triangle is defined as a closed polygon consisting of three sides, where as a triangular region is the region that lies inside the triangle. In the adjoining figure, the shaded region shows the triangular region.
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