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5 questions · self-marked practice — reveal the answer and mark yourself.

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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