<p>In the diagram, \(ABCD\) is a square. \(\angle DFE=45{}^\circ\).</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1767493905852-e6ioxq6vxzu.png" style="max-width: min(220px, 100%); height: auto; display: block;" alt="Square ABCD with points F and E on sides AD and DC respectively, forming triangle BFE." class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Prove that&nbsp;\(AF=EC\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">Prove that triangle \(ABF\) is congruent to triangle \(CBE\).</span></div></li></ol>

In the diagram, \(ABCD\) is a square. \(\angle DFE=45{}^\circ\).

Prove that triangle \(ABF\) is congruent to triangle \(CBE\).

Fundamental Theorems of Triangle Congruence: Analysis of Parallelograms and Polygons

Fundamental Theorems of Triangle Congruence: Analysis of Parallelograms and Polygons

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