Olivia purchases gifts for her mom and grandma for mother's day. the first is a pair of sunglasses for $16.35 and the second is a bracelet. her total is $39.75. how much did she spend on the bracelet?

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.