Which of the best diagrams below represents the contrapositive of the statement "If it is an equilateral triangle, then it is an isosceles trianagle"?

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"If it is not an isosceles triangle, then it is not an equilateral triangle." The correct figure is B.

Given ,

The statement provided is:

"If it is an equilateral triangle, then it is an isosceles triangle"

The contra-positive of a statement is determined by switching the hypothesis and conclusion of the provided statement and negating both.

Then, The contra-positive of the statement provided will be:

Switching the hypothesis and conclusion:

If it is an isosceles triangle - It is an equilateral triangle.

Negating both the statements:

If it is not an isosceles triangle - it is not an equilateral triangle.

Thus, the contra-positive of the statement is:

"If it is not an isosceles triangle, then it is not an equilateral triangle."

Thus, The correct figure is B.

For more information about Equilateral triangle click the link given below.

add 5 subtract 1

step-by-step explanation:

geometry: triangles

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lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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