Question

Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.

The rotation of 90° counterclockwise around the origin is also known as:
a) Reflection
b) Translation
c) Rotation
d) Dilation

L’ = ( , ) after the rotation. Fill in the blanks:
a) x, y
b) y, x
c) -x, -y
d) -y, -x

M’ = ( , ) after the rotation. Fill in the blanks:
a) x, y
b) y, x
c) -x, -y
d) -y, -x

N’ = ( , ) after the rotation. Fill in the blanks:
a) x, y
b) y, x
c) -x, -y
d) -y, -x

Answer 1

A 90° counterclockwise rotation around the origin is a rotation, and the coordinates of any point (x, y) after this rotation become (-y, x). This transformation applies to all points, resulting in their coordinates being option d) -y, -x.

Step-by-step explanation:

The transformation of rotating a point 90° counterclockwise around the origin in a coordinate system is known as a rotation. When you rotate a point (x, y) 90° counterclockwise, the new coordinates become (-y, x).

Therefore, the vertices after a rotation of 90° counterclockwise around the origin have their coordinates changed according to the formula:

• L' = (-y, x)
• M' = (-y, x)
• N' = (-y, x)

These coordinates correspond to option d) -y, -x for all three vertices after the rotation.

In summary, the correct answer for the transformation is c) Rotation, and for each new vertex coordinates L', M', and N', the fill in the blanks should be d) -y, -x.