If JKL is similiar to DEF and JKl has sides that are 11 times greater than those of DEF
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.
Thanks! I got it right the first time ,but I wasn't shure Thanks a ton!
You're welcome.
The correct answer is C. The perimeter of JKL is 11 times greater than DEF.
Explanation: The question states that JKL is similar to DEF, which means that the corresponding sides of JKL and DEF are proportional. It is also given that the sides of JKL are 11 times greater than those of DEF.
Since the perimeters of triangles are simply the sum of their side lengths, we can conclude that the perimeter of JKL will be 11 times greater than the perimeter of DEF. Therefore, option C is the correct answer.
To find the relationship between the perimeters of the triangles JKL and DEF, we need to consider their similarity.
When two triangles are similar, it means that their corresponding sides are proportional. In this case, it is stated that JKL is similar to DEF. Additionally, it is mentioned that the sides of JKL are 11 times greater (or longer) than the sides of DEF.
Let's denote the lengths of the sides of DEF as x, y, and z. According to the given information, the lengths of the corresponding sides of JKL would be 11x, 11y, and 11z.
To find the relationship between the perimeters, we need to consider the sum of the lengths of the sides for each triangle.
The perimeter of a triangle is the sum of the lengths of its sides.
For DEF, the perimeter would be x + y + z.
For JKL, the perimeter would be 11x + 11y + 11z, which can be simplified as 11(x + y + z).
Comparing the perimeters of the two triangles, we can see that:
The perimeter of DEF is x + y + z.
The perimeter of JKL is 11(x + y + z).
Therefore, we can conclude that the perimeter of JKL is 11 times greater than the perimeter of DEF.
So, the correct answer is C. The perimeter of JKL is 11 times greater than DEF.