Congruence and Similarity

Hong Kong

Stage 1 - Stage 3

Given that $ABCD\equiv EFGH$`A``B``C``D`≡`E``F``G``H`, which angle of $EFGH$`E``F``G``H` corresponds to $\angle ABC$∠`A``B``C`?

$\angle EFG$∠`E``F``G`

A

$\angle FGH$∠`F``G``H`

B

$\angle GHE$∠`G``H``E`

C

$\angle FEH$∠`F``E``H`

D

Easy

Less than a minute

Given that $ABCDEFGH\equiv MNOPIJKL$`A``B``C``D``E``F``G``H`≡`M``N``O``P``I``J``K``L` what side of $MNOPIJKL$`M``N``O``P``I``J``K``L` corresponds to $DE$`D``E`?

Given that $ABCDEF\equiv GHIJKL$`A``B``C``D``E``F`≡`G``H``I``J``K``L`, what side of $GHIJKL$`G``H``I``J``K``L` corresponds to $CD$`C``D`?

Given that these shapes are congruent, find the value of $x$`x`.

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