A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Consider the sets below. A = {x|x is a polygon}, B = {x|x is a triangle} which is true?
(a) A ⊂ B; (b) A ⊃ B; (c) A ⊆ B; (d) A ⊇ B
The given question is based on subsets and supersets and properties of geometric shapes.
Answer: If A = {x|x is a polygon}, B = {x|x is a triangle} then A ⊃ B.
Let us find the solution.
Explanation:
A triangle is a closed figure or shape with 3 sides, 3 angles, and 3 vertices. In fact, the triangle is a 3-sided polygon.
A is a set of triangles and B is a set of polygons.
Triangles are a type of polygons.
So, a set of triangles are a sub-set of a set of polygons.
A set of polygons is a superset of a set of triangles.
Thus, if A = {x|x is a polygon}, B = {x|x is a triangle} then A ⊃ B.
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