6- Write the converse of the statement- ldquo- If a rectangle lsquo-R rsquo- is square- then R is a Rhombus rdquo-

Dear Student, Here is the answer to your query. The converse of the statement quot;If a rectangle lsquo;R rsquo; is square, then R is a Rhombus quot; ...

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Standard XII

Mathematics

Fallacy

6) Write the ...

Question

6) Write the converse of the statement. “ If a rectangle ‘R’ is square, then R is a Rhombus”.

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Solution

Dear Student,
Here is the answer to your query.

The converse of the statement "If a rectangle ‘R’ is square, then R is a Rhombus" is "If R is a Rhombus, then a rectangle ‘R’ is square".

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Similar questions

Q. Find the converse of the statement, "If ABCD is square, then it is a rectangle".

Q. Which of the following statements are true and which are false?
(i) The diagonals of a parallelogram are equal.
(ii) The diagonals of a rectangle are perpendicular to each other.
(iii) The diagonals of a rhombus are equal.
(iv) Every rhombus is a kite.
(v) Every rectangle is a square.
(vi) Every square is a a parallelogram.
(vii) Every square is a rhombus.
(viii) Every rectangle is a parallelogram.
(ix) Every parallelogram is a rectangle.
(x) Every rhombus is a parallelogram.

Q. Given the true statement: If a quadrilateral is a square, then it is a rectangle. It follows that, of the converse and the inverse of this true statement.

Q. If

A = {P a r a l l e l o g r a m s}

B = {S q u a r e, R e c t a n g l e, R h o m b u s, T r a p e z i u m}

Then find

B - A

State with reasons whether the following statements are ‘true’ or ‘false’.

(i) Every parallelogram is a rhombus.

(ii) Every rhombus is a rectangle.

(iii) Every rectangle is a parallelogram.

(iv) Every squre is a rectangle.

(v) Every square is a rhombus.

(vi) Every parallelogram is a rectangle.

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6) Write the converse of the statement. “ If a rectangle ‘R’ is square, then R is a Rhombus”.

Dear Student, Here is the answer to your query. The converse of the statement "If a rectangle ‘R’ is square, then R is a Rhombus" is "If R is a Rhombus, then a rectangle ‘R’ is square".

Dear Student,
Here is the answer to your query.

The converse of the statement "If a rectangle ‘R’ is square, then R is a Rhombus" is "If R is a Rhombus, then a rectangle ‘R’ is square".