Δefi is dilated by a scale factor of one half with the center of dilation at point f. then, it is reflected over line a to create δhfg. based on these transformations, which statement is true?
line segments eg and hi intersect at point f, forming triangles efi and hfg. line a intersects with both triangles at point f.
segment fh = two segment fe, segment fg = two segment fi, and segment hg = two segment ei; δefi ~ δhfg
two segment fh = segment fe, two segment fg = segment fi, and two segment hg = segment ei; δefi ~ δhfg
segment fh = two segment fi, segment fg = two segment fe, and segment hg = two segment ei; δefi ~ δgfh
two segment fh = segment fi, two segment fg = segment fe, and two segment hg = segment ei; δefi ~ δgfh

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)