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Segment AB is on the line y − 3 = 2(x 2), and segment CD is on the line y − 3 = negative one half(x 2). Which statement proves the relationship of segments AB and CD? They are parallel because they have the same slope of 2. They are parallel because they have the same slope of negative one half. They are perpendicular because they have slopes that are opposite reciprocals of 2 and negative one half. They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half.

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Answer:

They are perpendicular because they have slopes that are opposite reciprocals of 2 and negative one half

Step-by-step explanation:

abidemiokin

They are perpendicular because they have slopes that are opposite reciprocals of 2 and negative one half.

Perpendicular lines

Two lines are known to be perpendicular if the product of their slope is -1.

Given the following equation of line AB and CD

AB; y − 3 = 2(x + 2),

CD = y -3 = -1/2 (x+2)

Slope of AB. = 2

Slope of CD = -1/2

Take their product

Product = 2 * -1/2

Product. = -1

Since their product is -1, hence the two lines are perpendicular

Learn more on lines here; https://brainly.com/question/1655368

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