Question

Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'?

Answer 1

Answer:

They are equidistant from origin.

Step-by-step explanation:

Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'?

They are equidistant from origin.

They are midpoints of segment ON and segment O prime N prime.

They are equidistant from point O.

They are midpoints of segment LN and segment L prime N prime.

Answer: If a point with location N(x, y) is rotated 90° clockwise around the origin, the new coordinate N' is at (y, -x). The distance of the two points from the origin O(0, 0) can be calculated using:

$ON=\sqrt{(y-0)^2+(x-0)^2}=\sqrt{y^2+x^2}\\ \\ON'=\sqrt{(y-0)^2+(-x-0)^2}=\sqrt{y^2+x^2}$

Therefore ON = ON'. The points N and N'are equidistant from the orign