10.01 Congruence transformations
Interactive practice questions
Given that $ABCDEFGH\equiv MNOPIJKL$ABCDEFGH≡MNOPIJKL what side of $MNOPIJKL$MNOPIJKL corresponds to $DE$DE?
Two congruent shapes have each of their vertices labeled. The shape $ABCDEFGH$ABCDEFGH is on the left and resembles a composite shape composed of a smaller rectangle that sits on the left side of a larger rectangle. Starting from the top-left vertex of the smaller rectangle of the composite shape $ABCDEFGH$ABCDEFGH, and moving clockwise, the vertices are labeled $A$A, $B$B, $C$C, $D$D, $E$E, $F$F, $G$G, and $H$H, respectively. The shape $ABCDEFGH$ABCDEFGH is rotated to form the shape $MNOPIJKL$MNOPIJKL such that vertex $A$A corresponds to vertex $M$M. Starting from vertex $M$M and moving clockwise, the vertices of $MNOPIJKL$MNOPIJKL are labeled $M$M, $N$N, $O$O, $P$P, $I$I, $J$J, $K$K, and $L$L, respectively.
$IJ$IJ
$IP$IP
$KL$KL
$LM$LM
$MN$MN
$JK$JK
Given that $ABCDEF\equiv GHIJKL$ABCDEF≡GHIJKL, what side of $GHIJKL$GHIJKL corresponds to $CD$CD?
Given that $\triangle QPO\equiv\triangle CBA$△QPO≡△CBA, which angle of $\triangle QPO$△QPO corresponds to $\angle BCA$∠BCA?
Given that $\triangle BAC\equiv\triangle FED$△BAC≡△FED, which angle of $\triangle FED$△FED corresponds to $\angle ABC$∠ABC?