Origami is the Japanese art of folding paper. This ancient art relies on properties of Geometry to produce fascinating and beautiful shapes. For example, you can make a swan from a square piece of paper. The first figure in this illustration shows some of the creases for an origami swan that has been unfolded. ABCD is a square and DE bisects angle ADB and DF bisects angle BDC. Use these facts to classify triangle ABD by its side lengths and by its angle measures.

Question

Origami is the Japanese art of folding paper. This ancient art relies on properties of Geometry to produce fascinating and beautiful shapes. For example, you can make a swan from a square piece of paper. The first figure in this illustration shows some of the creases for an origami swan that has been unfolded.  ABCD is a square and DE bisects angle ADB and DF bisects angle BDC. Use these facts to classify triangle ABD by its side lengths and by its angle measures.