145k views
1 vote
What is the image point of (2, 1) after the transformation ry-axis o R180°?

User Jwm
by
6.1k points

1 Answer

4 votes

9514 1404 393

Answer:

P"(2, -1)

Explanation:

Reflection in the y-axis is described by ...

(x, y) ⇒ (-x, y)

Then your reflected point is ...

P(2, 1) ⇒ P'(-2, 1)

__

Rotation 180° about the origin is described by ...

(x, y) ⇒ (-x, -y)

When the reflected point is then rotated 180° about the origin, it becomes ...

P'(-2, 1) ⇒ P"(2, -1) . . . . reflected and rotated point

User Andrew Coats
by
6.2k points