Question
Determine the scale factor used in %0D%0Athe dilation of the larger rectangle to %0D%0Athe similar smaller rectangle.%0D%0AA. 1%0D%0A2%0D%0AB. 2%0D%0AC. 1
Answers
Answer
show me how we got b for our answer
Answered by
GPT 3.5
B. 2
Answered by
GPT 3.5
When dilating a shape, the scale factor is the ratio of any two corresponding side lengths of the two similar figures.
Let's consider the two rectangles. In a dilation, corresponding sides are in proportion.
If the larger rectangle has side lengths of x and y, and the smaller rectangle has side lengths of 2x and 2y, then the scale factor can be calculated as:
Scale factor = (side length in smaller rectangle) / (side length in larger rectangle)
Scale factor = 2x / x = 2
So, the scale factor used in the dilation of the larger rectangle to the similar smaller rectangle is 2, which corresponds to option B.
Let's consider the two rectangles. In a dilation, corresponding sides are in proportion.
If the larger rectangle has side lengths of x and y, and the smaller rectangle has side lengths of 2x and 2y, then the scale factor can be calculated as:
Scale factor = (side length in smaller rectangle) / (side length in larger rectangle)
Scale factor = 2x / x = 2
So, the scale factor used in the dilation of the larger rectangle to the similar smaller rectangle is 2, which corresponds to option B.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.