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Parallelogram JKLM has the coordinates J (3, 7), K (14, 7), L (10, 1), and M (-1, 1). Which of the following sets of points represents a dilation from the origin of parallelogram JKLM?

A.
J' (8, 12), K' (19, 12), L' (15, 6), M' (4, 6)
B.
J' (3, 35), K' (70, 7), L' (50, 1), M' (-1, 5)
C.
J' (15, 7), K' (70, 7), L' (50, 1), M' (-5, 1)
D.
J' (15, 35), K' (70, 35), L' (50, 5), M' (-5, 5)

Respuesta :

Answer: D

Step-by-step explanation:

The coordinates are being dilated by a factor of 5 and option D correctly shows the dilation on each coordinate

The set of points that could represent the dilation is (d) J' (15, 35), K' (70, 35), L' (50, 5), M' (-5, 5)

How to determine the points after dilation?

The coordinates are given as:

J (3, 7), K (14, 7), L (10, 1), and M (-1, 1).

When dilated across the origin, the points become

(x,y) => k(x,y)

Where k represents the scale factor

Assume that k = 5.

So, we have:

J (3, 7), K (14, 7), L (10, 1), and M (-1, 1).

* 5

=

J' (15, 35), K' (70, 35), L' (50, 5), M' (-5, 5)

Hence, the set of points that could represent the dilation is (d) J' (15, 35), K' (70, 35), L' (50, 5), M' (-5, 5)

Read more about dilation at:

https://brainly.com/question/3457976

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