Use the image to answer the question.

Question

Smaller polygon upper A upper B upper C upper D is graphed within larger polygon upper A prime upper B prime upper C prime upper D prime on a coordinate plane.

In the image, polygon ABCD
is dilated to form polygon A′B′C′D′
with respect to the origin. What is the magnitude of dilation?

(1 point)
Responses

1
1

3
3

12
Start Fraction 1 over 2 End Fraction

2
2
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Answer 1

To determine the magnitude of the dilation from polygon ABCD to polygon A'B'C'D', we'll need to compare the corresponding coordinates of the vertices of the two polygons.

The magnitude of dilation can be calculated using the formula:

\[ \text{Dilation Factor} = \frac{\text{length of a side in A'B'C'D'}}{\text{length of corresponding side in ABCD}} \]

Since we don't have the specific coordinates or lengths, we can't perform the exact calculation. However, if you're provided with the respective lengths or a diagram showing the transformation, you would measure the lengths of corresponding sides between the two polygons.

1. If you find that a side of A'B'C'D' is 2 times the length of a side of ABCD, the dilation factor is 2.
2. If the side lengths are equal, the factor is 1, and so on for other options.

Please reference the specific coordinates or measures from your image to calculate the exact dilation factor. The options provided suggest you look for one of these values: 1, 2, or 3.

Without the actual image or dimensions, I cannot provide you with the exact answer. If you measure and find the relationship between the lengths, select the corresponding answer.