Question

Which of the following is/are a counterexample/s to the statement: “If it is not a square, then it
does not have four sides”.
i. a rhombus
ii. a trapezoid
iii. a rectangle

A. i only
B. iii only
C. ii only
D. i, ii, and iii

Answer 1

Answer:

option d is the answer

Step-by-step explanation:

This is your answer bye bye

Answer 2

Option D. 1, ii, and iii are counterexamples to the statement: “If it is not a square, then it does not have four sides”.

Given

Statement- “If it is not a square, then it does not have four sides”

Options-

i. a rhombus

ii. a trapezoid

iii. a rectangle

A. i only

B. iii only

C. ii only

D. i, ii, and iii

To Find

The option which is a counterexample to the statement.

Solution

Here, a rhombus has 2 pairs of adjacent sides equal.

Therefore, it has 4 sides.

Also. a Trapezoid is a quadrilateral with at least one pair of parallel lines. Hence it too has 4 sides

A rectangle is a quadrilateral with opposite sides parallel and equal.

Hence, all the three above-mentioned shapes are counter-examples of the statement "If it is not a square, then it does not have 4 sides."

Hence, Option D. 1, ii, and iii are counterexamples to the statement: “If it is not a square, then it does not have four sides”.

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