Congruence and Similarity

Hong Kong

Stage 1 - Stage 3

Given that these shapes are congruent, find the values of $x$`x` and $y$`y`.

$x=\editable{}$`x`=

$y=\editable{}$`y`=

Easy

Less than a minute

Given that $\triangle BAC\equiv\triangle FED$△`B``A``C`≡△`F``E``D`, which angle of $\triangle FED$△`F``E``D` corresponds to $\angle ABC$∠`A``B``C`?

Given that $\triangle QPO\equiv\triangle CBA$△`Q``P``O`≡△`C``B``A`, which angle of $\triangle QPO$△`Q``P``O` corresponds to $\angle BCA$∠`B``C``A`?

The two given triangles are congruent. By considering the relative position of angles and sides, or otherwise, find the missing values. Give a reason for each answer.

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