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
GPT 3.5
B. 2
show me how we got b for our answer
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.