Answered

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3. The point P(3,5) is rotated 90° clockwise
about the origin. What are the coordinates of
P'?
A. P'(-3,-5)
B. P’(5,-3)
C. P'(-5,3)
D. P'(5, 3)

Please :)

Sagot :

absor201

Answer:

New coordinates of  P' are:  P'(5, -3)

Hence, option B i.e. P'(5,-3) is correct.

Step-by-step explanation:

When a point A(x, y) is rotated 90° clockwise around the origin, we flip x and y and reverse the sign of x.  

Thus,  

The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:  

A(x, y) → A'(y, -x)

In our case, the point P(3, 5) is rotated 90° clockwise about the origin. Thus, the coordinates of  P' will be:

A(x, y) → A'(y, -x)

P(3, 5) → P'(5, -3)

Therefore, coordinates of P' are:  P'(5, -3)

Hence, option B i.e. P'(5,-3) is correct.

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