what is the relationship between the perimeters of the triangles A. They are equal. B.The perimeter of DEF is 11 times greater than the perimeter of JKL. C. The perimeter of JKL is 11 times greater then DEF. D. The perimeter of JKL is 121 times greater that DEF.
To determine the relationship between the perimeters of triangles DEF and JKL, we need to compare their respective perimeters.
The perimeter of a triangle is calculated by adding the lengths of all its sides.
A. If the perimeters of the triangles are equal, this means that the sum of the lengths of the sides of triangle DEF is the same as the sum of the lengths of the sides of triangle JKL. However, the question does not mention anything about triangle DEF and JKL having equal perimeters. So A is not the correct option.
B. If the perimeter of DEF is 11 times greater than the perimeter of JKL, this means that the sum of the lengths of the sides of DEF is 11 times larger than the sum of the lengths of the sides of JKL. So, the correct choice would be B.
C. If the perimeter of JKL is 11 times greater than DEF, this means that the sum of the lengths of the sides of JKL is 11 times larger than the sum of the lengths of the sides of DEF. So, this is not the correct choice.
D. If the perimeter of JKL is 121 times greater than DEF, this means that the sum of the lengths of the sides of JKL is 121 times larger than the sum of the lengths of the sides of DEF. So, this is not the correct choice.
Therefore, the correct relationship between the perimeters of triangles DEF and JKL is B - "The perimeter of DEF is 11 times greater than the perimeter of JKL."
The correct relationship between the perimeters of the triangles is:
B. The perimeter of DEF is 11 times greater than the perimeter of JKL.