Which of the following statements is true if m∠E = m∠Y and m∠F = m∠X?triangles EFG and YXZ in which triangle YXZ is larger than EFG segment EF ~ segment XZ. The measure of segment YZ is three times the size of segment EG. segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX There is a sequence of rigid motions that map ΔEFG onto ΔYXZ.

Answer:segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZXStep-by-step explanation:see the attached figure to better understand the problemwe know thatIf m∠E = m∠Y and m∠F = m∠Xthen Triangles EFG and YXZ are similar by AA Similarity TheoremRemember thatIf two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruentIn this problemThe corresponding sides areFE and XYEG and YZGF and ZXso[tex]\frac{FE}{XY}=\frac{EG}{YZ}=\frac{GF}{ZX}[/tex]thereforesegment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX