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which figure is a dilation of figure abcd? figure efgh figure ijkl figu…

Question

which figure is a dilation of figure abcd? figure efgh figure ijkl figure mnop

Explanation:

Step1: Recall dilation properties

A dilation from center \(Q\) means lines connecting corresponding vertices of \(ABCD\) and the dilated figure must pass through \(Q\), and side lengths must be scaled by a constant factor.

Step2: Check line connections

  • For \(ABCD\) and \(EFGH\): Lines \(A-E\), \(B-F\), \(C-G\), \(D-H\) are vertical, do not pass through \(Q\).
  • For \(ABCD\) and \(IJKL\): Lines \(A-I\), \(B-J\), \(C-K\), \(D-L\) all pass through \(Q\). Side lengths of \(IJKL\) are a scaled version of \(ABCD\) (smaller, consistent dilation).
  • For \(ABCD\) and \(MNOP\): Lines from \(A,B,C,D\) to \(M,N,O,P\) do not align with \(Q\) as a common center.

Answer:

figure IJKL