A playground has a fence covering an area with the coordinates of A(2, 3), B(-3, 2), and C(2, -2). The park wants to extend the fence’s range by a scale factor of 2. What are the new points?
A’____________ B’____________ C’____________
Does this enlarge or shrink the shape? (Circle the correct answer.)

Respuesta :

Answers:

A ' (4,6)

B ' (-6,4)

C ' (4,-4)

The shape is enlarged

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Explanation:

The scale factor of 2 means we'll multiply each coordinate, of each point, by this value. Something like A(2,3) becomes A'(4,6) after doubling the coordinates. The same applies with points B and C as well.

Since each coordinate doubles, the point moves further away from the origin (0,0). This means the overall image is larger compared to its preimage. Therefore, we have an enlargement.

The shape only shrinks if the scale factor is between 0 and 1, excluding both endpoints. For example, a scale factor of 0.5 means each side is half as long as before.

The graph is shown below.

Ver imagen jimthompson5910