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Triangle PQR is rotated 90 degrees counterclockwise about the origin to form the image triangle P'Q'R' (not shown). Then triangle P'Q'R' is reflected across the x-axis to form triangle P"Q"R" (not shown). What are the signs of the coordinates (x, y) of Point Q"?
A) Both x and y are positive
B) x is negative and y is positive
C) Both x and y are negative
D) x is positive and y is negative

Triangle PQR is rotated 90 degrees counterclockwise about the origin to form the image triangle PQR not shown Then triangle PQR is reflected across the xaxis to class=

Respuesta :

Answer:

Step-by-step explanation: what is the the the length side of PQ and untie and the measure of angle Q

Transformation involves changing the position of a shape

Both the x and y coordinates of Q" are negative

The transformation rule of 90 degrees counterclockwise rotation about the origin is:

[tex](x,y) \to (-y,x)[/tex]

When the triangle is then reflected across the x-axis, we have the following transformation rule:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex](x,y) \to (-y,-x)[/tex]

From the graph, we have:

[tex]Q = (1,2)[/tex]

So, the coordinates of Q" are

[tex]Q" = (-2,-1)[/tex]

Hence, both the x and y coordinates of Q" are negative

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