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On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral A B C D has points (2, negative 2), (4, negative 2), (3, negative 4), and (1, negative 4). Quadrilateral J K L M has points (4, negative 4), (8, negative 4), (6, negative 9), and (2, negative 9).
Is quadrilateral JKLM the result of a dilation of quadrilateral ABCD by a scale factor of 2? Why or why not?

Yes, because sides JK and ML are twice as long as sides AB and DC.
Yes, because both figures are parallelograms, so corresponding sides are parallel.
No, because sides JK and ML are not twice as long as sides AB and DC.
No, because sides JM and KL have different slopes from sides AD and BC.

Respuesta :

Answer:

No, because sides JM and KL have different slopes from sides AD and BC.

Step-by-step explanation:

Quadrilateral ABCD is dilated by 2 to form Quadrilateral JKLM. Then the correct option is A.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

On a coordinate plane, 2 quadrilaterals are shown.

Quadrilateral ABCD has points (2, -2), (4, -2), (3, -4), and (1, -4).

Quadrilateral JKLM has points (4, -4), (8, -4), (6, -9), and (2, -9).

The quadrilaterals are shown below.

Yes, because sides JK and ML are twice as long as sides AB and DC.

The scale factor will be 2.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

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