Question

use the image to answer the question. identify a sequence of rigid transformations that would map (abcd
ightarrow abcd). give your answer in the form of a composition transformation mapping. (1 point) ((x,y)
ightarrow(-x - 4,y)) ((x,y)
ightarrow(x,y + 4)) ((x,y)
ightarrow(x,y - 4)) ((x,y)
ightarrow(x,-y - 4))

Explanation:

Step1: Analyze x - coordinate changes

The x - coordinates of the points in the original figure \(ABCD\) and the transformed figure \(A''B''C''D''\) are related in such a way that if we consider a point \((x,y)\) in \(ABCD\), the x - coordinate of the corresponding point in \(A''B''C''D''\) is \(-x - 4\). For example, if we take point \(A(-4,3)\) in \(ABCD\), in \(A''B''C''D''\), the x - coordinate of \(A''\) is \(4 - 4=0\) (since \(x=-4\), \(-x - 4=-(-4)-4 = 0\)).

Step2: Analyze y - coordinate changes

The y - coordinates of the points remain the same. That is, for any point \((x,y)\) in \(ABCD\), the y - coordinate of the corresponding point in \(A''B''C''D''\) is \(y\).

Answer:

\((x,y)\to(-x - 4,y)\)