The diagram will have 4 equal sides and 4 interior right angles at each vertex.
Note that all 4 sided shapes are classed as quadrilaterals.
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.
The second statement is false.
A rhombus is defined as a quadrilateral with all sides of equal length, while a square is a specific type of rhombus that also has all angles equal to 90 degrees. The conditional statement can be framed as: "If a quadrilateral is a square, then it is a rhombus." Conversely, "If a quadrilateral is a rhombus, it is not necessarily a square." Thus, all squares are rhombuses, but not all rhombuses are squares.
A square is a quadrilateral, but not all quadrilaterals are squares. A quadrilateral is just a four-sided figure.
Yes. A square is a rectangle and a rectangle is a quadrilateral.
B
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.
Figure B apex
The second statement is false.
The second statement is false.
Figure B
true
A rhombus is defined as a quadrilateral with all sides of equal length, while a square is a specific type of rhombus that also has all angles equal to 90 degrees. The conditional statement can be framed as: "If a quadrilateral is a square, then it is a rhombus." Conversely, "If a quadrilateral is a rhombus, it is not necessarily a square." Thus, all squares are rhombuses, but not all rhombuses are squares.
a square is a quadrilateral
That is impossible as a square IS quadrilateral
figure b
A square is a quadrilateral, but not all quadrilaterals are squares. A quadrilateral is just a four-sided figure.