Introduction to Congruence
Interactive practice questions
Given that $ABCD\equiv EFGH$ABCD≡EFGH, which angle of $EFGH$EFGH corresponds to $\angle ABC$∠ABC?
Two equivalent quadrilaterals. The quadrilateral on the left is labeled with vertices $A$A, $B$B, $C$C, and $D$D. Both side $AB$AB and side $BC$BC are marked with double tick marks. Both side $DC$DC and side $AD$AD are marked with a single tick mark.
The quadrilateral on the right is labeled with vertices $E$E, $F$F, $G$G, and $H$H. Both side $FE$FE and side $GF$GF are marked with double tick marks. Both side $HE$HE and side $GH$GH are marked with a single tick mark.
$\angle EFG$∠EFG
$\angle FGH$∠FGH
$\angle GHE$∠GHE
$\angle FEH$∠FEH
Given that $ABCDEFGH\equiv MNOPIJKL$ABCDEFGH≡MNOPIJKL what side of $MNOPIJKL$MNOPIJKL corresponds to $DE$DE?
Given that $ABCDEF\equiv GHIJKL$ABCDEF≡GHIJKL, what side of $GHIJKL$GHIJKL corresponds to $CD$CD?
Given that these shapes are congruent, find the value of $x$x.