Deanna has 4 quarters, 3 dimes, and 3 nickels in her purse. she reaches into her purse and randomly grabs two coins, one at a time. what is the probability deanna will first grab a quarter and then, without replacing it, grab a nickel?

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.