Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2) dilates with respect to the origin to give rectangle A'B'C'D'. If = 6, what is the scale factor of the dilation? {Ans: 2}In ΔABC, AB = BC and m∠ABC = 90°. D and E are the midpoints of AB and BC, respectively. If the length of CA is 9 units, the length of DE is _________ units and m∠CAB is _________°. {Ans: DE = 4.5 ∠CAB = 45°}axiom {Ans: a given definition assumed to be true}In the figure, and ∠EIA ≅ ∠GJB. Complete the following statements to prove that ∠IKL ≅ ∠DLH. ∠EIA ≅ ∠IKC and ∠GJB ≅ ∠JLD because they are corresponding angles of parallel lines cut by a transversal. So, if ∠EIA ≅ ∠GJB, then ∠IKC ≅ ∠JLD by the _________________________________. ∠IKL and ∠IKC and ∠DLH and ∠JLD are pairs of supplementary angles by the ______________________. m∠IKL + m∠IKC = 180° (1) ∠IKC ≅ ∠JLD, so m∠IKC = m∠JLD (2) Applying the ______________________ to equations (1) and