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Proofs with Quadrilaterals

Interactive practice questions

$ABCD$ABCD is a parallelogram with $AE=FC$AE=FC. Prove that $DE$DE=$FB$FB.

In $\triangle AED$AED and $\triangle CFB$CFB we have :

Approx 6 minutes
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$ABCD$ABCD is a parallelogram, with $AY$AY=$XC$XC.

Prove that the two triangles $\triangle AYB$AYB and $\triangle CXD$CXD are congruent.

In the diagram, $ABCD$ABCD is a square, and $AE=CF$AE=CF. Prove that $AF=EC$AF=EC.

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