Hexagon IJKLMN is shown on the coordinate plane below:Hexagon IJKLMN on a coordinate plane with ordered pairs at I negative two, six, at J four, four, at K six, negative one at, L nIf hexagon IJKLMN is dilated by a scale factor of two fifths from the origin to create hexagon I'J'K'L'M'N', what is the ordered pair of point I'? (4 points)A) (−0.8, 2.4)B) (−5, 15)C) (−2.5, 5)D) (−0.4, 0.8)
Accepted Solution
A:
Answer:Option: A is the correct answer.The ordered pair of point I' are: A) (-0.8,2.4)Step-by-step explanation:We know than if any point A with vertices as (a,b) are dilated by a scale factor of k then the vertices of the transformed point is: A(a,b) → A'(ka,kb)We are given vertices of point I as: I(-2,6)Hence, the vertices of the transformed point I' after dilating by a scale factor of 2/5 is: I(-2,6) → I'(-2×(2/5),6×(2/5))⇒ I(-2,6) → I'(-0.8,2.4) Hence, option: A is the answer. A) (-0.8,2.4)