Question

a rotation maps point a(5, 4) to a(-4, 5). which describes the rotation? 180° clockwise rotation 180° counterclockwise rotation 90° counterclockwise rotation 90° clockwise rotation

Explanation:

Step1: Recall 90° counterclockwise rule

For a point $(x,y)$, rotation gives $(-y,x)$

Step2: Test the rule on A(5,4)

Substitute $x=5, y=4$: $(-4,5)$

Step3: Match with given A'

Result matches $A'(-4,5)$

Step4: Eliminate other options

180° rotation gives $(-x,-y)=(-5,-4)$, not $A'$; 90° clockwise gives $(y,-x)=(4,-5)$, not $A'$.

Answer:

90° counterclockwise rotation