Select the correct statement(s).
I. Set of squares is a subset of set of rhombuses.
II. Set of squares is a subset of set of rectangles.
III. The diagonals of a rhombus divide it into 4 congruent triangles.

I and II only

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III and II only

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I and III only

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All of the given statement

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Solution

The correct option is D All of the given statement
Every square is a rhombus; every rhombus is not a square. Set of squares is a subset of set of rhombuses.
Every square is a rectangle; every rectangle is not a square. Set of squares is a subset of set of rectangles.
Diagonals of a rhombus divide it into 4 congruent triangles.
All the statements are correct.

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Similar questions

Q. If

F_{1}

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F_{2}

the set of rectangles,

F_{3}

the set of rhombuses,

F_{4}

the set of squares and

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the set of trapeziums in a plane, then

F_{1} \cup F_{2} \cup F_{3} \cup F_{4}

is a subset of

Write the subset relations between the following sets..

X = set of all quadrilaterals. Y = set of all rhombuses.

S = set of all squares. T = set of all parallelograms.

V = set of all rectangles.

Let $F_{1}$ be the set of all parallelograms, $F_{2}$ the set of rectangles, $F_{3}$ the set of rhombuses, $F_{4}$ the set of squares and $F_{5}$ the set of trapeziums in a plane, then $F_{1}$ is equal to

Q. Let

F_{1}

be the set all of parallelograms,

F_{2}

be the set of the rectangles,

F_{3}

be the set of rhombuses,

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be the set of trapezium in a plane then

F_{1}

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Select the correct statement(s). I. Set of squares is a subset of set of rhombuses. II. Set of squares is a subset of set of rectangles. III. The diagonals of a rhombus divide it into 4 congruent triangles.

Select the correct statement(s).
I. Set of squares is a subset of set of rhombuses.
II. Set of squares is a subset of set of rectangles.
III. The diagonals of a rhombus divide it into 4 congruent triangles.