Question

The sheet which divides the paper in a small equilateral triangle made up of dots or lines is called _____________.

Answer 1

Hint: In this question we have to find the type of sheet that can divide the paper in an equilateral triangle. Since we have to check for an equilateral triangle, then we should note that all the sides have to be equal, so the dots from which an equilateral triangle can be made has to be at the equal distance from each other.

Complete answer:
We know that an equilateral triangle is a triangle in which all the three sides have the equal length. All the measures of three angles are equal to ${60^ \circ }$. Now we know that an isometric sheet is a pictorial representation of an object in which all the three dimensions are drawn in full scale. In this sheet, the vertical lines always remain vertical, but the horizontal lines are at angles. The term isometric is derived from the Geek for “ having equal measurement”.

We know that the isometric projection exhibits the three faces of an object, and all the three faces of an object are uniformly elongated. The isometric sheet is a paper that has dots that make small equilateral triangles. Since the dots make an equilateral triangle, we can say that the dots are equidistant from each other.

Hence the correct answer is an equilateral triangle.

Note:The meaning of isometric is having equal measurements or dimensions. In an isometric sketch, we can draw the image in such a way that the original dimension of the object is intact irrespective of the position. The horizontal lines are formed at an angle of ${30^ \circ }$ to the horizontal plane. We should note that the angle between the axes of the coordinate plane should be equivalent to ${120^ \circ }$.