To represent the contrapositive of the statement "If it is not a polygon, then it is not a triangle," you would first rephrase it as "If it is a triangle, then it is a polygon." In a diagram, you could use two overlapping circles: one labeled "Triangles" and the other "Polygons." The area where the circles overlap represents objects that are both triangles and polygons, visually demonstrating the relationship between the two categories.
The contrapositive of the statement "If it is an equilateral triangle, then it is an isosceles triangle" is "If it is not an isosceles triangle, then it is not an equilateral triangle." A diagram representing this could include two circles: one labeled "Not Isosceles Triangle" and another labeled "Not Equilateral Triangle." An arrow would point from the "Not Isosceles Triangle" circle to the "Not Equilateral Triangle" circle, indicating the logical implication. This visually conveys the relationship between the two statements in the contrapositive form.
To represent the contrapositive of the statement "If it is a square, then it is a quadrilateral," first identify the components: let ( P ) be "it is a square" and ( Q ) be "it is a quadrilateral." The contrapositive is "If it is not a quadrilateral, then it is not a square." In a diagram, you can use two circles to represent the sets: one for quadrilaterals and one for squares, with the square circle entirely within the quadrilateral circle. Then, illustrate the negation by highlighting the area outside the quadrilateral circle, indicating that anything outside this area cannot be a square.
Then it would be a false statement because an isosceles and an equilateral triangle have different geometrical properties as in regards to the lengths of their sides.
A circle labeled "metal" with a smaller circle labeled "aluminum" completely inside it
Class diagram represent generalized view of system while object diagram represent view of a system at a particular instant.
figure b
bird circle inside the animal circle
has wings in outer circle (*bigger circle) insect inside inner circle (*smaller circle)
Figure A
Figure B. equilateral triangle (small circle) inside of isosceles triangle (big cirlce)
Then it would be a false statement because an isosceles and an equilateral triangle have different geometrical properties as in regards to the lengths of their sides.
A circle labeled "metal" with a smaller circle labeled "aluminum" completely inside it
The shape that would best represent a diagram of Egypt's social classes would be a triangle. This is because the pharaoh is at the top and then a few nobles underneath then the large amount of workers.
Class diagram represent generalized view of system while object diagram represent view of a system at a particular instant.
A ternary diagram is a triangular graph used to represent the proportions of three components that sum to a constant, typically 100%. Each vertex of the triangle corresponds to one of the three components, and the position within the triangle indicates the relative proportions of these components. To read the diagram, locate a point within the triangle and draw perpendicular lines to each side to determine the percentage of each component. The closer a point is to a vertex, the higher the proportion of that component in the mixture.
A mapping diagram can be used to represent a function or a relation true or false?
you could use a venn diagram