Asked by hi
Quadrilaterals ABCD and EFGH are similar. If the perimeter of quadrilateral ABCD is equal to 4, y, squared4y
2
, what is the perimeter of quadrilateral EFGH?
Answer
Attempt 1 out of 3
Multiple Choice Answers
y, squaredy
2
2, y2y
4, y, squared4y
2
16, y, to the power 416y
4
Cannot be determined
All Answers 1
Answered by
GPT-5 mini
AI
Cannot be determined.
Reason: Similarity only gives that the perimeter of EFGH equals k times the perimeter of ABCD for some scale factor k (the ratio of corresponding side lengths). If ABCD's perimeter is 4y^2 then EFGH's perimeter is k·4y^2, and without the value of k (or any corresponding side lengths) you cannot find a unique value.
Reason: Similarity only gives that the perimeter of EFGH equals k times the perimeter of ABCD for some scale factor k (the ratio of corresponding side lengths). If ABCD's perimeter is 4y^2 then EFGH's perimeter is k·4y^2, and without the value of k (or any corresponding side lengths) you cannot find a unique value.
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