Question

quadrilaterals hdkn and hdkn are shown on the coordinate grid where quadrilateral hdkn is a transformation of quadrilateral hdkn. which algebraic description describes the transformation? (x,y)→(x−5,y−3) (x,y)→(x+2,y+2) (x,y)→(x−2,y−2) (x,y)→(x+5,y+3)

Explanation:

Step1: Analyze the movement of a point

Take a point from quadrilateral HDKN, say \(D(-1,1)\). In quadrilateral \(H'D'K'N'\), assume the corresponding point (by observing the transformation pattern) has coordinates \((4,4)\).

Step2: Calculate the change in \(x\) and \(y\) - coordinates

For the \(x\) - coordinate: \(4-(-1)=5\). For the \(y\) - coordinate: \(4 - 1=3\).

Answer:

\((x,y)\to(x + 5,y+3)\)