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bazaltina [42]
4 years ago
15

Line segment AB is shown on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from p

ositive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3. The line segment is rotated 270 degrees counterclockwise about the origin to form A′B′. Which statement describes A′B′? (5 points) A′B′ is parallel to AB. A′B′ is half the length of AB. A′B′ and AB are equal in length. A′B′ is greater than twice the length of AB.
Mathematics
1 answer:
serious [3.7K]4 years ago
5 0

Answer:

A′B′ and AB are equal in length.

Step-by-step explanation:

Given that the location of the points are at A(1, 3) and B(5, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.

If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)

AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,

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Solution:

We are given that

Ballpoint pens cost $1.50 a dozen for the first 200 dozen a store buys from a wholesaler.

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Total cost of 250 dozens of pens=300+62.5=362.5dollars\\

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I NEED HELP Quick!!
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I think it would be 84 + 0.45m + 108.
Which simplified could be 0.45m + 192. Hope it helps! :)
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