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Match each directed line segment with the translation from Polygon \(P\) to Polygon \(Q\) by that directed line segment.
Translation 1
Translation 2
Translation 3
Translation 4
Translation 1
Translation 2
Translation 3
Translation 4
Draw the image of quadrilateral \(ABCD\) when translated by the directed line segment \(v\). Label the image of \(A\) as \(A’\), the image of \(B\) as \(B’\), the image of \(C\) as \(C’\), and the image of \(D\) as \(D’\).
Which statement is true about a translation?
A translation takes a line to a parallel line or to itself.
A translation takes a line to a perpendicular line.
A translation requires a center of translation.
A translation requires a line of translation.
Select all the points that stay in the same location after being reflected across line \(\ell\).
\(A\)
\(B\)
\(C\)
\(D\)
\(E\)
Lines \(\ell\) and \(m\) are perpendicular. A point \(Q\) has this property: Rotating \(Q\) 180 degrees using center \(P\) has the same effect as reflecting \(Q\) over line \(m\).
\(m \perp \ell\)
There is a sequence of rigid transformations that takes \(A\) to \(A’\), \(B\) to \(B’\), and \(C\) to \(C’\). The same sequence takes \(D\) to \(D’\). Draw and label \(D’\):
Two distinct lines \(\ell\) and \(m\) are each perpendicular to the same line \(n\).