W C 10) Complete the proof. Given: ABCD is a rectangle W, X, Y and Z are midpoints of BC, AB, AD and X Z CD respectively Prove: quadrilateral WXXYZ is a rhombus Y STATEMENTS REASONS ABCD is a rectangle, Given BW = WC, Definition of Midpoint BD = AC XY is a midsegment in AABD, Definition of a Triangle Midsegment XY = 12 BD = WZ and The midsegment of a triangle is equal to one-half the length of the parallel side. 12 ED = 12 AC XY = WZ = YZ = XW WXYZ is a rhombus 11) Find x and y. Simplify all radicals - do 11 ) not use decimal approximations. 12) Find . 12) X 32 27 13) The two figures are similar. Find x. 13 ) 15 14) Determine whether the quadrilaterals 14) are similar. If so, write the similarity statement. A 1815) Determine whether the triangles are 15) similar. If so, write the similarity statement and theorem (SSS, SAS, or AA). 16) Determine whether the triangles are 16) similar. If so, write the similarity statement and theorem (SSS, SAS, or AA). M 10 12 17) Determine whether the following triangles are acute, obtuse or right. a) 46, 55, 76 b) zo, 20, 24 c) 5, 13, 15 18) Find the missing sides. 18) 15 450 3 19) Find the missing sides. 19) 30 V 20) Find x. 20) 34 19 X