Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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.

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.