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Triangle is rotated about the origin clockwise and then translated 6 units to the left. This sequence of transformations produces the image, triangle , shown on the graph.


The coordinates of vertex A in the preimage triangle are A(

Sagot :

The coordinates of vertex A in the image triangle are (-7, 4)

How to determine the transformation?

The vertex of A is given as:

A = (-4, -1)

The rule of 90° clockwise rotation is

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

So, we have:

A' = (-1, 4)

The rule of shifting the triangle left by 6 units is

(x,y) => (x - 6,y)

So, we have:

A" = (-1 - 6, 4)

Evaluate

A" = (-7, 4)

Hence, the coordinates of vertex A in the image triangle are (-7, 4)

Read more about transformation at:

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Complete question

Triangle ABC is rotated about the origin 90° clockwise and then translated 6 units to the left. This sequence of transformations produces the image, triangle.

The coordinates of vertex A in the preimage triangle are A(-4, -1), what are the coordinates of vertex A in the image triangle