MATH SOLVE

6 months ago

Q:
# One vertex of a polygon is located at (3, –2). After a rotation, the vertex is located at (2, 3). Which transformations could have taken place? Check all that apply.

Accepted Solution

A:

The vertex has a rotation (3,-2) --> (2,3).

Or in x and y coordinates, (x,y) --> (-y,x).

The rotation that has this said rule is R0, 90°. And 90° is equal to –270°.

The answers are:

R0, 90°

R0, –270°.

Additional information:

R0, 180° has the rule (x, y) → (-x, -y)

R0, 270° and R0, –90° has the rule (x, y) → (y, -x).

Or in x and y coordinates, (x,y) --> (-y,x).

The rotation that has this said rule is R0, 90°. And 90° is equal to –270°.

The answers are:

R0, 90°

R0, –270°.

Additional information:

R0, 180° has the rule (x, y) → (-x, -y)

R0, 270° and R0, –90° has the rule (x, y) → (y, -x).