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The endpoint of AB are A(4,3) and B (1,1) what are the coordinates of A” after the image has been translated (x,y) (x-5, Y-1) and rotates 180 degrees about the origin?

Respuesta :

Answer:

A'' = (1, -2)

Step-by-step explanation:

First we apply the translation:

(4-5, 3-1) = (-1, 2)

Next we apply the rotation.  The rule for a 180 degree rotation is that every point (x, y) is mapped to (-x, -y):

(-1, 2) → (1, -2)

MrRoyal

Transforming the endpoint AB would change their position, and the image of point A after the transformation is (1, -2)

How to determine the coordinate of A"

The coordinate of point A is given as:

A = (4,3)

When translated by the rule (x-5, y-1), we have:

(x,y) -> (x-5, y-1)

So, the image of A is:

A' = (4-5,3-1)

Evaluate

A' = (-1,2)

When rotated about 180 degrees, we have:

(x,y) -> (-x,-y)

So, we have:

A'' = (1, -2)

Hence, the image of point A after the transformation is (1, -2)

Read more about transformation at:

https://brainly.com/question/4289712

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